diff --git "a/data/dm_maths/full_data_2/1744_11255.jsonl" "b/data/dm_maths/full_data_2/1744_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1744_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express -107 - s - 286 + 2*s**3 + 1129 in the form m*s**3 + z + a*s**2 + d*s and give z.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 - 116*g\/9 - 496\/9 = 0. What is g?\nAnswer: -4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 5*m + 11 - 3*m**3 - 9\/2*m**2 + 1\/4*m**4. What is the tens digit of n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k**2*o*r - 22*k**2*o - k*o**2 - 2*k*r - o**2*r + o**2 - 531*o*r + 2*r wrt k.\nAnswer: -6*k*o*r - 44*k*o - o**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99015153 to the power of 1\/2, to the nearest integer?\nAnswer: 9951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9952, -5251 in ascending order.\nAnswer: -9952, -5251, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277980589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85326, -86459, -87586, -88707, -89822, -90931, -92034?\n\"Answer: 3*t**2 - 1142*t - 84187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 86, 166, 270, 398, 550?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkeb when four letters picked without replacement from {f: 1, e: 1, b: 1, h: 5, k: 1}?\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*d - 396*d + 180 = 0. Sort 0, 4, d.\nAnswer: 0, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*m - 3, -m + 38 = 82 - 41 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j - 2. Let b be r(2). Let s be (-3 + 5)\/4*b. Solve s*d - 3 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose 4 + 4 = s*d. Solve -v - 3*l + 4 + 6 = 0, d*l = 2*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:52 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w*w)**(-2\/15)*(w**(-1))**38)**(-24))**(2\/77) assuming w is positive.\nAnswer: w**(9216\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557891427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 + 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdsmmmxvsmhmv. What is prob of picking 1 x and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/10379820 and -14\/1556973?\nAnswer: 31139460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -4) + -4)*-1. Let u(g) = -g**j + g**2 - 2*g**2 - 37*g. Let a(b) = -3*b. Determine a(u(v)).\nAnswer: 6*v**2 + 111*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 678800 rounded to the nearest ten thousand?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324 - -310)*(-2)\/(-8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 136*l**2. Let y(r) = 429972*r. Give y(z(v)).\nAnswer: 58476192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*a - 21*a + 22*a)*(2*a + 2 - 2*a + 2*a).\nAnswer: 44*a**2 + 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 348, 485, 648, 837, 1052?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16748222 by 9.\nAnswer: 16748222\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2607482.0337 - 2606785. Let u = -697 + i. Let l = u + -0.039. What is l rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (9 + 8 + 13 + -32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9, -r = -0*k + 3*k - 24. Let g = k - 4. Let a be (1*-3)\/(g\/(-6)). Solve -q = -a*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14659, -29295, -43931?\n\"Answer: -14636*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 + 5843*r**2 - 5842*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -44, 702*p - 3*g - 19 = 1051*p - 52 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Let m be (0 - q)*-2 - 2. Let x(l) = 4*l**2 - 5*l**2 + 3*l**2. Give x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3785513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 38, 74, 116, 164?\n\"Answer: 3*z**2 + 21*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -115747 divided by 2\nAnswer: -115747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 921156 times 206\nAnswer: 189758136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 3. Let z be y(-2). Let w(o) = o**3 + 4*o**2 + 5. Let u be w(-4). What is the units digit of (u - -1)*z\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3.63\nAnswer: -3.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**4 + 25*s**3 - 45*s**2 + 35*s - 10 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 45. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138083 divided by 3\nAnswer: 138083\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/((-2)\/10). Suppose -20 = -4*f - 5*g, -a*f - 3*g + 1 = -9. Solve 4*q = 2*t + 8, -t + 2*t - f*q + 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353082 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227848 + -14?\nAnswer: -227862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 39 = 7*w - 12*w - 7*c + 24, 24 = 43*c - 41*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 11745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45666 + -45661. Let l = 0 - 1. What is the smallest value in 24, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgk when four letters picked without replacement from {k: 1, g: 2, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.06727151\nAnswer: -0.06727151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17195, 34387, 51579, 68771?\n\"Answer: 17192*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62a02 - -5?\nAnswer: 62a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10. Suppose s*t = -i + 3*t - 6, 3*i + 3*t - 18 = 0. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 + 3*m**4 + 2*m**4 - 1 - 2 + 2*m**4 - m**4 + (3*m**3 + m**3 - 3*m**3)*(-4*m + 4*m + m).\nAnswer: m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7946455*b**3 - 34*b**2 + 2585*b - 2.\nAnswer: 47678730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 24336*w - 3483648 = 0 for w.\nAnswer: -24192, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9098122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/12 - 11*i**3\/6 - 5*i**2 - 29*i. Let u be t(-1). Solve u = 5*c + 25, 2*m - 2*c - 14 = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 u when four letters picked without replacement from xuuuuyuumuamyrmmyxua?\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 12*f + 3. Does 48 divide s(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38876982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 4) to base 9\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 22*w - 81. Let i(f) = -31*f + 121. Let q(b) = -5*i(b) - 7*k(b). Calculate q(-19).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100026 + 0?\nAnswer: -100026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142861819 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -l - 12*l. Let b(z) = -z**2 + 15*z + 34. Is b(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2158? (a) -0.09 (b) -0.4 (c) -2 (d) -0.2 (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 26 = -y, -3*y + 16 = -p - 34. Suppose 4*t - y = 12. Let s be 14\/(-3)*(-21)\/14. Calculate the highest common factor of t and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92395957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190675 divided by 1315.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -b0794 (base 12) to base 3\nAnswer: -102122102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.252 (b) 1\/3 (c) 1\/4 (d) -1\/4 (e) -4 (f) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 11*v**2 - 7*v + 9. Let l(i) = 4*i**3 - 16*i**2 - 10*i + 13. Let f(x) = 7*c(x) - 5*l(x). What is f(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11532 divided by 1\nAnswer: -11532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4584.248 nanometers to meters.\nAnswer: 0.000004584248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -11 + -20 + -11 - (5 - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -5*x - 135. Suppose 3*u - 2*u - 2*g - 15 = 0, 0 = u - 5*g - 27. Calculate the highest common divisor of u and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*n**4 + 285*n**2 wrt n.\nAnswer: -4032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-42))\/((-3)\/(-8)))\/((-468)\/546).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = -10*l + 10*l. Suppose -4*h = -2*h. Solve h = f + 2 - l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -91. Let i(y) = -y**2 + 11*y - 30. Let s be i(r). Suppose -w + 10 = o, -2*w + s*w = -2*o + 24. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 25*s**8\/504 - s**7\/7 - s**6\/180 + 41*s**5\/90 - 2*s**4\/3 + 4*s**3\/9 + 11*s**2. Let a(k) = 0. What is k?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6589.63*0.1\nAnswer: -658.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/4 - 5229*b**2\/4 - 18283*b\/2 - 15666 = 0.\nAnswer: -5222, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/3 + ((-4)\/(-6))\/(-1). Suppose -6 - 16 = -2*r. Suppose -r*u = -t - 8. Solve b + o = -u*o + 4, -o = 5*b + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1896*f**3*o**2*x - 20*f**3*o*x**3 + f**2*o**2 + 2*f**2*x**2 - f*o**2*x**3 + 71*f*o*x**3 - 3*o*x - 24*x**3 wrt f.\nAnswer: -11376*o**2*x - 120*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2973 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -3 + 24 + -17 + -7.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a + a - 12*a**2 + 0*a wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**2. Let i(p) = 40*p**2. What is i(f(q))?\nAnswer: 4840*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 6*l - 9*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3125931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -303b40 (base 12) in base 6?\nAnswer: -24051320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4 = 2*t - 0*m, -5*t - m = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168042 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 the greatest common divisor of 160 and 1088.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396563 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 9*w**2 + 13*w + 9. Let h be o(7). Calculate the least common multiple of 5 and (-2 + -3)*(h - 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/5, 0, -26256, 0.3 in ascending order.\nAnswer: -26256, -2\/7, 0, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwn. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -151*o**2 + 3*o. Let r(g) = -g**3 - 301*g**2 + 5*g. Give 5*k(s) - 3*r(s).\nAnswer: 3*s**3 + 148*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4557079 by -6.\nAnswer: 4557079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 201. Let l = h + -17. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2021916?\nAnswer: 2021917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312*z**2 - 54*z**2 - 322*z**2 + 27*z + 416 - 25*z wrt z?\nAnswer: -1376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5819, 11632, 17441, 23246, 29047, 34844, 40637?\n\"Answer: -2*a**2 + 5819*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 - 6*l - 7. Let g be i(-2). Suppose p = 5*o + 141, o = -g + 4. Calculate the highest common divisor of 390 and p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338836960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20846567 and -0.01.\nAnswer: 208465.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -85. Suppose -h*y - 6 = -12*y. Find the third derivative of 10*w**4 - y*w**2 + 6*w**2 - 4*w**4 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*4)\/(1*sqrt(300)))**2 + (2 + sqrt(832) + -1 - (((sqrt(832)*-1)**2 - sqrt(832) - sqrt(832)) + 5)).\nAnswer: -20692\/25 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 + m**2 - m**2 + (-2 + 1 + 0)*(-m**2 - 2*m + 2*m) + 1 - 1 + 2*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 28 - (-1 + 3). Let g = k - -26. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 7. Let d(i) = -15*i. What is d(j(u))?\nAnswer: -75*u - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8804.884 millimeters?\nAnswer: 8804884000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -u - 71, 0 = -7*g + 4*g + u + 203. Let h = g + -331\/5. What is the biggest value in -5, h, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 4*m - 1\/3*m**4 + 0*m**2 + 0 - 1\/5*m**5 + 0*m**3. Find the third derivative of k(v) wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36842?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-40)\/(-25)*(-2225)\/178.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3, 6*q - 26 = q + 2*i. Suppose -18 = -4*n + 5*k, k = -2*n - 2 + q. Solve -n*b - b = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 2:52 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133189.6 minutes in weeks?\nAnswer: 509.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9469, 38136, 86009, 153088, 239373?\n\"Answer: 9603*y**2 - 142*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/2)*u)\/(u*u**(-2\/11)))\/(u**6*u*(u\/((u\/(u\/u**(-15)))\/u))\/u) assuming u is positive.\nAnswer: u**(-447\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11392994?\nAnswer: 2, 5696497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 141 = 3013. Let s = -135 + x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892 + 964 = 8*n - 2*n. Solve -m - 9 = -n*a + 16*a, -4*a - 5*m + 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose h*g + 8 = g. Let x = g - 6. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 1. Suppose 0 = -6*r - 107 - 25. Let t be (6\/(-4))\/(11\/r). Solve 12 = t*y + 4*u + 39, 0 = q*y + 3*u + 34 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.4 - 33.9. Which is the nearest to -2\/7? (a) -3\/2 (b) q (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192376 or 192374?\nAnswer: 192374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:25 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242902235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, u: 1, t: 2, r: 3, s: 2}. What is prob of sequence toso?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369915?\nAnswer: 3, 5, 7, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*x**2 + 843*x**2 - 281*x**2 - 279*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3374521 (base 11) to base 12.\nAnswer: 1b89b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21281, 42568, 63855, 85142, 106429?\n\"Answer: 21287*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + 14\/(98\/(-35)). Solve -2 = -3*n + 3*j + 1, -4*n = 3*j + s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 4*o - o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25239 + -149086769\/5907. Let p = y + 655637\/59070. Let l = 813\/122 - 10\/61. Calculate the common denominator of l and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188785 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*5*(sqrt(7) + sqrt(28)*2)**2*-2.\nAnswer: -3498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 35 = -m, -4*m + 9*m = -5. Find the third derivative of -193*j**3 - 34*j**4 + a - 192*j**3 + 583*j**3 - 197*j**3 - 2*j**2 wrt j.\nAnswer: -816*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5)*(989*q - 1430*q + 926*q).\nAnswer: 970*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:56 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*z - 5*z + 0)*(-1 - 5 - 4) - 3*z + 2*z - 2*z.\nAnswer: 7*z + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -19 - (-6 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 738601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4808 and 2228508.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 555, 4, 11, 1, 0 in decreasing order.\nAnswer: 555, 11, 4, 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*2\/(-20) - 1419\/(-15). Suppose -5*c + 105 + w = -3*l, -5*l + 174 = 4*c. Suppose -261 + 1071 = 5*a. Calculate the remainder when a is divided by c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 336\/15 - (-2)\/(-5). Let t = -20 + f. Factor 3\/2*z**2 + t + 5*z - 9\/4*z**3.\nAnswer: -(z - 2)*(3*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.866 + 3.866. Put 0.4, b, -1, 3, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, 0.4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s**3 + 44*s**2 - 55*s + 134. Let a(b) = 7*b**3 - 22*b**2 + 27*b - 67. Let k(w) = 7*a(w) + 3*l(w). Give k(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 1.159116.\nAnswer: 2.159116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.3 + 29.3. Let t = 6\/419171 - -55326462\/287132135. Let j = t - -1\/137. Which is the third smallest value? (a) 1 (b) f (c) -1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*d**3*l + 2*d**2*l**2 + 40*l**2 wrt d.\nAnswer: -21*d**2*l + 4*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1))**(-22))**(-2\/125))**(1\/55))**47 assuming x is positive.\nAnswer: x**(-188\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16263?\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzy when three letters picked without replacement from zbzlllzlhybllzp.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 182765.585 to the nearest one thousand.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 31*t + 56. Let i be d(-12). Let l = -135\/44 + 42\/11. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6212.6*-0.0042.\nAnswer: -26.09292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -2 - -117*(-24)\/432?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 10*u**2 + 21. Is 13 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/12 + h**3\/6 + h**2\/2 + 6*h. Let o(z) = -4*z**2 - 1. Let q be o(-1). Let m be (-4)\/(-10) + 7\/q. What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(11) + (sqrt(11) - -3*sqrt(11)))*-6)*4.\nAnswer: -120*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, 0.02, -4\/3, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/4 (c) 0.1 (d) 9.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92930428 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 3*x + 0*x)*(-23*x + 5*x**3 + 23*x) + 3*x**4 + 0*x**4 - 2*x**4 as o*x + t*x**3 + d*x**4 + n + r*x**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560258692 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(114) + sqrt(114)*2*-5)\/(sqrt(864) + 2*sqrt(864) + sqrt(864)).\nAnswer: 3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*a = -r - 9, 0 = -5*a - 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 28. Suppose -16 = -c + 2*t, 3*t = -1 + n. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 521081 times -562\nAnswer: -292847522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 28 + (-2)\/(4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6390 - -6416. Calculate the remainder when 663 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -51. Let z(y) = -y**3 + 9*y**2 + 4. Let o be z(i). Let w(t) = -o + 0*t + 1 - 3*t. Let p(k) = 6*k + 7. Calculate 2*p(g) + 5*w(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*m - 6*m**3 + 42*m + 4*m**3 - 1350*m.\nAnswer: -2*m**3 - 2515*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*g**3 + g**4 - 29*g**3 - 28*g**3 + 18 - 30*g**3 - 29*g**3 + 2*g + 3*g**2 in the form f*g**4 + o + m*g + p*g**3 + b*g**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279.999994 + 280. Round q to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 237*f + 38 = -232*f, -2*n - 68 = -9*f. Suppose 0 + 2*m**n - 26\/3*m = 0. Calculate m.\nAnswer: 0, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:10 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udu when three letters picked without replacement from {u: 7, f: 6, p: 2, o: 4, d: 1}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/w**(1\/4))\/(w**(2\/3))**(-1) assuming w is positive.\nAnswer: w**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17395 or -16207?\nAnswer: -16207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315492953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04801175 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0b8 - -4106?\nAnswer: -5cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/371899 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (1464 - 1444)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/66957 and -46\/121?\nAnswer: 736527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 892817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 206 + 205 = 0. Suppose 0*i = 3*i. Sort i, q, 2.\nAnswer: i, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 173.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -147, 0, -4, 0.1, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - h)*(1 - 2 + 4) - 351*h + 1526 - 355*h + 704*h.\nAnswer: 4*h + 1526","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1697543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 2*v)*(6*v**2 - 6*v**2 + 18*v**3) + 6*v**4 - 21*v**4 - 10*v**4 + (2*v**2 - 2*v**2 - 2*v**2)*(-2*v + 2*v + 2*v**2).\nAnswer: -47*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 11, p: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - (sqrt(140) - 2*sqrt(140)*5))\/((sqrt(343) - sqrt(343)*3)*5).\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231210 and 266.\nAnswer: 4392990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1800 in 5, 44\/47, 28?\nAnswer: 44\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/40*-5)\/((-2)\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-13 + 12 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 + 694*v\/11 - 692\/11.\nAnswer: -2*(v - 346)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 11. Suppose 10 = -3*s + 31. What are the prime factors of m(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 6 + 6)*(-1 + 2 - 3)*(3 - 5 + 3) + 2 - 2 - 3*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 4\/(-24) - (-46)\/(-12). Let g = 6 + n. Solve -g*y + 0 = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -0.1. Let h = 14.884 - 0.184. Let t = h + -15. What is the second biggest value in t, -3\/8, z?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 - 49*w - 494\/5.\nAnswer: (w - 247)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 1. Calculate the remainder when 20 is divided by n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l - 5. What is the lowest common multiple of 8 + -2 + (-1)\/3*-6 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40506\/12717)\/(2\/27)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29\/7 in 11, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11389765.\nAnswer: 5, 199, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 - -147. Let z be ((3 + c)\/3 + 964)*50000. What is z rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 28 = x, -2*s + 4*x = -1 + 5. Suppose -3*r - 2 = -v + s, -5*r - 25 = -4*v. Solve -l = -1 + v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-175*h - 116*h - 78*h)*(-2 + 2 - h)*(-4*h**2 + 0 + 0).\nAnswer: 1476*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3 + 3*u**2\/2 + 6*u + 3. Find r, given that v(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -424 + 1102. Let u = f + -357. What are the prime factors of u?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**2. Let y(i) = -8*i - 6. Let n(z) = 8*z + 5. Let u(v) = 6*n(v) + 5*y(v). Calculate q(u(l)).\nAnswer: -448*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12397474 is divided by 1425.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14576 + 3280. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30563 is divided by 3273.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 3. Let m be k(-3). Suppose -2*l + l - 5 = 0. Which is the second biggest value? (a) l (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*4 - 9\/9. Suppose r*j = 5*j - 3*t - 14, t = -j + 2. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649930 is divided by 4521?\nAnswer: 4286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 264.1? (a) -0.5 (b) -0.1599 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc98 (base 13) to base 10.\nAnswer: 54881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.26266 tonnes?\nAnswer: 9262660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:10 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -314*c**3 + 269*c**2 - 189769*c wrt c?\nAnswer: -1884*c + 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112631423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpnpnnoptsnpsntsnn. What is prob of sequence st?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 19, 11, -1\/5 in decreasing order.\nAnswer: 19, 11, 3, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 7*o**2 + 6. Let r be z(-4). Let f = r + -54. Suppose 0*h + 2*h = f. Solve h*a + 8 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 2*n**2 + 1\/6*n**3 + 0*n + 0. Let p(m) = -16*m + 3 - m**2 + 16*m. What is p(t) - 2*r(t)?\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1657, 1620, 1569, 1504, 1425?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 3)\/(-2) - 2. Let w = t - -2. Is (w*17)\/(2\/(-6)) 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 20879961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(325)*-1*-6)**2 - (5*(sqrt(325) + 1))**2*1)*1*-3.\nAnswer: -10650 + 750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81\/2 + 40. What is the closest to 0.2 in -12, 2\/3, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.035\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 7*i**2 + 4*i - 5. Let r(b) = b**3 + b + 1. Let w(p) = 2*r(p) - x(p). Calculate w(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 - y - 1. Let g(t) = -13*t**2 + 3*t + 2. Let q(n) = -2*g(n) - 5*l(n). What is q(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754*u + 2080 + 17376 + 48950 = 0 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-23 + 10 + 8 - (-3 - -26))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11451293*v**4 - 14942042*v wrt v?\nAnswer: -137415516*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 5*w**2 + 4*w - 7. Let a(m) = -2*m**3 + 6*m**2 - 5*m + 8. Let u = -1 + -5. Calculate u*d(y) - 5*a(y).\nAnswer: -2*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -4, -2\/11, 0, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 128334.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 191, 380, 569, 758, 947, 1136?\n\"Answer: 189*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (516\/280 - -1) + 1. Let j = -72\/35 - i. Calculate the common denominator of j and 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251542 * 3\nAnswer: 754626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmjjmmjmxj. What is prob of sequence mxxj?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84734407 take away -25452?\nAnswer: 25451.15265593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-91) - 22\/26. Let w(m) = -m**2 - m - 1. Let d(l) = 2*l + 4. Suppose 6 + 14 = 4*r. Suppose r*g + 6 = -4. Determine g*w(c) + x*d(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 0.5 (c) 17 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {k: 3, b: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 6*m**2 - 5*m - 7. Let y be n(5). Let k be (y\/(-2))\/((-3)\/(-6)). Suppose -j + k + 4 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a4027 (base 11) in base 12?\nAnswer: -789050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 9. Let f(g) = -2*g + 19. Let b(w) = -3*f(w) - 7*m(w). Let a be -3 + (0 + (-4)\/(-4))*12. Let j be b(a). What is the nearest to 0.1 in j, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148750284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 5133852.\nAnswer: 5133852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a*a\/(a\/a**(-4)))**(3\/17)\/((a**(2\/3)\/a)\/(a*a**(-2\/15)))**(-4\/7) assuming a is positive.\nAnswer: a**(-758\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123646265?\nAnswer: 5, 3911, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114041 + 174*g**2 - 228087 + 114046 - 169*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/6 - 1883\/(-21).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/12 - 1)\/(1795\/(-7180)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103 (base 6) in base 4?\nAnswer: 22233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -7*h - 4. Let a(l) = l**2 + 4*l + 2. Let j be a(h). Suppose -j*w = -4*w + 84. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-12))\/1*-39. Let r = -2 + 2. Suppose r = -4*b + 521 - 53. What is the greatest common factor of b and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w = 246*w - 1146 - 558 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 17}. What is prob of sequence lo?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -14.9. Let k = 1.1 - j. Let r be (-9)\/(-12) - 1\/(-4). Which is the biggest value? (a) -1\/5 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(0 + 12\/4). Suppose 3*d - 10 + 2 = -4*u, l = -u + 2*d + 2. What is the remainder when 58 is divided by (-30)\/(u + 14\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20054.88+0.1\nAnswer: 20054.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-20)*(-8)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4780963 + 8743687 = -32*q + 82*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1720677, -1720656, -1720635, -1720614?\n\"Answer: 21*p - 1720698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 139366.\nAnswer: 975562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1417 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 1. Let v(k) = 4*k + 1. Let y(x) = -x**2 - 22*x - 14. Let m be y(-21). Suppose -4*a = -4*z + 20, m + 2 = -3*a + z. What is a*d(r) - 3*v(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 2891?\nAnswer: 2891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -54, -75, -96, -117?\n\"Answer: -21*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 1. Let r(f) = -2*f + 1. What is 2*d(t) + 5*r(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/20634 and 31\/790.\nAnswer: 8150430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 48*f - 37. Let n(p) = -2*p + 1. Calculate the smallest common multiple of n(-3) and l(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + 5*(sqrt(1573) - 1*sqrt(1573)))*-3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -b - y, -4 = 19714*b - 19716*b - y + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6234749 is divided by 2144.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - (-2265)\/12. Calculate the highest common divisor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 5, t: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 15*g + 15*g)*(g**3 - 6*g**3 + 3*g**3) as r*g + m*g**3 + d*g**2 + j + n*g**4 and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -759, 2, -1, 0 in ascending order.\nAnswer: -759, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/64 and -73\/2692?\nAnswer: 43072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5113402 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 8*l**2 + 5*l + 18. Let j be g(-4). Sort 4, 2, -5, j in increasing order.\nAnswer: -5, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3\/3 + 26*y. Let p(w) = 21*w. What is p(v(j))?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4 + 5 - 3)*(4*h - 5*h - h).\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.196308ml in litres?\nAnswer: 0.009196308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.951 - 19. Let p = g - -3.349. What is p rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11847 - 11727. What is the remainder when 5398 is divided by a?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 9. Let y = -4 + r. What is the smallest common multiple of y and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 10 - 22. Suppose f - 4*f = -5*m - 31, -m - 47 = -h*f. Let s = 103 + f. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 888 - 892. Let v be (-4)\/(-6)*2\/(-4). What is the closest to v in -0.02, -1, x?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -420 + 596. Does 25 divide (g\/(-40))\/((-2)\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 19*r - 89. Let w be u(13). Solve -w*i + 15 = -3*x, -3*i - 2*x = -2*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (148\/(-185) + 1287\/315)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259655 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-294)\/(-12))*(-2)\/4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 - 5. Let j(a) = -a. Let w be j(m). Let r = -39 - -38. Sort w, -4, r in decreasing order.\nAnswer: w, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-655)\/9 - 10\/45. Let q be 0\/(9\/(m\/(-8))). Which is smaller: q or -18\/77?\nAnswer: -18\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2\/37, -0.7, -39, -1, -2\/3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -60*i - 18. Let q(g) = 60*g + 19. Let z(y) = 6*a(y) + 7*q(y). What is the derivative of z(b) wrt b?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5\/11 + 2*k**4\/11 - 84*k**3\/11 - 212*k**2\/11 + 82*k\/11 + 210\/11 = 0.\nAnswer: -5, -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 10:00 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/19, -1, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*z - 70*z + 2 - 2 + 3*z**2 in the form s*z + w*z**2 + i and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2. Let n(h) = 4*h**2 - 2*h. Let w(x) = -9*x**2 + 5*x. Let r(f) = -5*n(f) - 2*w(f). What is r(i(b))?\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 51*a**2 + 2*a + 9. Let f(d) = -25*d**2 - d - 4. Determine 7*f(i) + 3*g(i).\nAnswer: -22*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1938*h**2 + 12*h - 11. What is the thousands digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23468*d**3 + 23553*d**3 - 21*d**2 + 21*d**2.\nAnswer: 85*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 (base 9) in base 12?\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8062\/87*(-6)\/(-4).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 times 0.1?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1)\/((-14)\/4)). Let y = -4 - m. What is the remainder when 8 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 486963*h - 4869620. Determine g(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5442 and 4434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8017533 rounded to 2 decimal places?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 - 1408*p**3 + 125248*p**2 - 913920*p = 0.\nAnswer: 0, 8, 140, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -206642.18 + 4116314?\nAnswer: 3909671.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 + f**2 + f - 2. Let l be c(1). Suppose -10*a + l*a + 1000 = 0. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 791, 1579, 2367?\nAnswer: 3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8459 or -33833\/4?\nAnswer: -33833\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(260\/(-268))*125?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 11 + 188*a**2 - 296*a**2 as q + z*a + o*a**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 19 + 5 - 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -8.65\nAnswer: 43.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxt when three letters picked without replacement from {s: 4, z: 1, v: 1, x: 3, t: 2, a: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 + 35*t - 2. Let w be p(6). Let u = -191 + w. Solve 5*b - 8 = u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x. Suppose 40 = z - 5*t, x = 5*z - 3*z - t - 107. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19772, -19577, -19380, -19181?\nAnswer: -18980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(sqrt(684) + -3 + -1 + -5 + 1 + sqrt(684)) + -4)**2.\nAnswer: -5280*sqrt(19) + 70336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23648, -47537, -71426, -95315, -119204, -143093?\nAnswer: -166982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145206243*r**2*v*x**2 - 16*r*v*x**2 - 57*r*v*x + 14*r*v - r*x**2 + 2*r - 10*v*x wrt r?\nAnswer: -290412486*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2 + 339*r - 2. Let c(u) = -12*u**2 + 307*u - 2. Determine 5*c(f) - 6*x(f).\nAnswer: 12*f**2 - 499*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m = -5*m + 31 + 265 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 11. Let t be v(8). Suppose -i + 2 = j, -t*j - 4*i + 10 = 5. Which is the second smallest value? (a) j (b) 1 (c) -0.08 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998456 to the power of 1\/2, to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 9*d - 42. Let j(i) = -i**2 + 2*i + 3. Give -4*j(o) - k(o).\nAnswer: 5*o**2 + o + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:18 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -12. Suppose 0 = -13*j - f*j + 28496. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23313302333 (base 4) to base 14\nAnswer: -5b022b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 803*x + 10 = -808*x, -5*o - 2*x + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 104*t - 30*t**2 - 104*t + 277 - 10*t**3 + 7*t**3 - t**4. What is the second derivative of g(a) wrt a?\nAnswer: -24*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 9 (c) -5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 125, 245, 365, 485, 605, 725?\n\"Answer: 120*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 3*g + 2*g - 3*g to the form w*g + v and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 - -1.365. Let l = z + 3.075. Let w = l + -0.14. Which is greater: 2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329886 is divided by 1416.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(35\/15 - 1). Which is the closest to -12? (a) 0.4 (b) n (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -46. Let t = 51 + o. Suppose 2*j = -c + 6 + 3, 5*j - 15 = t. Solve 0 = i + c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 divided by -149?\nAnswer: 525\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {w: 8, u: 5, v: 5, b: 1, s: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*a = -66*a. Solve -m - 4*b + 9 - 2 = a, -2*m = 3*b + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 3. Let k = 0 - 4. Let v be 1\/(0 + k\/(-4)). Let d(s) = -5*s + 2. Let x be d(v). Determine w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5122\/97469?\nAnswer: -5122\/97469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*d**2*r - d**2 - 16*d*r - 16*d + 1373091*r wrt d.\nAnswer: 216*d*r - 2*d - 16*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/427 - 975\/427. Calculate the common denominator of ((-3)\/(-4))\/(-3) + 174\/(-48) and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 417\/(-141) - (-2)\/(-47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**3 - a**2)*(-760050 - 5*a**2 + 760051 - 36*a**2 - 4*a).\nAnswer: -82*a**5 - 8*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let y be (-1 - 0)*(-2 + 3). Let s be (-34)\/(-3) - y\/(-3). What is the greatest common divisor of s and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2368699 (base 10) to base 3.\nAnswer: 11110100020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3 + 9 + 4 + -14 - 50)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111 (base 2) to base 5.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 + 0.14. What is the second biggest value in 0.4, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165 - 278*b - 165)*(4*b + b - 4*b) + (0 - 2*b + 0)*(b + 0 + 0) - 2*b**2 + 0*b + 0*b + b**2 + 3*b**2 - 2*b**2 + b**2 - 3 + 3.\nAnswer: -279*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-3)\/2*((-480)\/(-45) + -6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18975, 37985, 56995, 76005, 95015?\nAnswer: 114025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56935?\nAnswer: 5, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9190435 is divided by 1398?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {o: 1, r: 1, w: 2, e: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 7:33 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 - 11 = 0. Let y(c) = -2 + 5*c**2 - 3*c + 12*c**2 + 5*c. Let w be y(t). What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -30 - 19) + 25\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224 or 217?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*2\/(-14))\/(207\/171465*71).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111101 - -221122100?\nAnswer: 201010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(100)\/sqrt(16))\/(2*sqrt(45))*-3)**2.\nAnswer: 3*sqrt(5)\/2 + 149\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f**5 - 758*f**4 - 588*f**3 + 908*f**2 + 598*f - 150 = 0 for f.\nAnswer: -75, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.39 - 0.01. Let a = h - -4. Let g = a - 0.1. What is the second smallest value in 1, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -484 + 746. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Let p(l) = 2*l**2 - 4*l - 3. What is the remainder when 51 is divided by p(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677462146.\nAnswer: 2, 7, 347, 962837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {t: 3, g: 1, h: 2, z: 1, n: 6}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3888)*-1 + -1)*-1)**2 + ((sqrt(120)\/(sqrt(24)\/sqrt(3)) - sqrt(15))\/sqrt(5) - (sqrt(27) + -1*sqrt(3267))**2).\nAnswer: 72*sqrt(3) + 1189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 175? (a) 1\/5 (b) -4 (c) -6202 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 640868, 4 in decreasing order.\nAnswer: 640868, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 9*g**2 - 15*g + 140. Let d be q(9). Let b(z) = 4*z - 21. What is b(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6*d**(1\/7))\/(d\/(d\/(d*d**(-3))))**(24\/7))**(-33) assuming d is positive.\nAnswer: d**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2997*c - 4*f - 292 = -2993*c, 5*c + 134 = -2*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -18. Let v = 6.9 + p. Sort 1\/4, 0.4, v in ascending order.\nAnswer: v, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 - 2*r**4 - 3*r**4)*(-213*r - 234*r + 463*r).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -4*a, 3*a + 2*a + 3 = r. Suppose -r*d - 2*d - 29000012 = 3*k, 2*d + 5*k = -11600020. Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-36) - (-49)\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*d + 1861 = 2290 + 3909 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25634, -25621, -25608, -25595, -25582, -25569?\nAnswer: -25556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 693 in increasing order.\nAnswer: -2, 9, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.42 + -0.58. Let p = 22.5 - o. Round p to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-85)*10\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -161*r + 163*r + 4, -2*q + 26 = -4*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 - 7 = 0. Let h(w) = -21*w**3 + w + 5*w + n*w**2 - 4*w**2 + 20*w**3 + 3. Let d be h(-4). Which is greater: 10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -6*p**5\/11 - 128*p**4\/11 - 636*p**3\/11 + 48*p**2 + 22*p = 0.\nAnswer: -11, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47545 (base 8) in base 16?\nAnswer: 4f65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 143*q**3\/2 + 633*q**2\/2 - 72*q + 2. What is the derivative of p(j) wrt j?\nAnswer: 429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297776.\nAnswer: 2, 37, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8443 + 12410. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.1627?\nAnswer: -2.8373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30113 + 7712?\nAnswer: 40025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370454 is divided by 372?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -500 + 7?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 + -1.19. Let p = -0.12766 + 1.22626. Let c = p + k. What is c rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.78 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20329980 to the power of 1\/2, to the nearest integer?\nAnswer: 4509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ele when three letters picked without replacement from {m: 1, h: 8, f: 2, l: 3, e: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:34 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/50 and 68\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1980 and 1980?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38\/73 + 412\/511. Let n(u) = u - 1. Let x be n(-2). Let v be (-5)\/x - (2 + 0). Put j, v, 4 in increasing order.\nAnswer: v, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6945*-12262\nAnswer: 85159590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {a: 2, u: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 85\/2*u**2 - 53\/2*u**3 - 61\/6*u + 7\/6*u**4 = 0. What is u?\nAnswer: -2\/7, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -896.49 - -804.4900836. Let n = l + 92. What is n rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 6 + -38*(-12)\/114.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1548\/24*8\/6. Let m be (-4)\/(-10)*((-12)\/4 + 8). Suppose m*o + 2*s = 90, o + 3*s = -o + w. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*y = 209, -5*a = 2*y - y - 277. Let d be 152\/a - 2\/(-7). What is the highest common divisor of d and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 2 n when four letters picked without replacement from niiinnhhii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 8.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52775624 + -25952036. Let k = w - 26823584.5000006. Let f = -3.5 + k. What is f rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 26*q - 132. Calculate u(28).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7656 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 6*m. Sort 0.2, m, -1\/6 in decreasing order.\nAnswer: 0.2, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10*u = 21. Solve u*r = 5*c + 12, c + 4*c = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8632675 + -2713702. Let n = -5918972.85999932 + j. Let s = 0.14 - n. Round s to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*h - 53*h + 257 = -1843 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 8, k: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739512 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-162)\/(-4)*4. Calculate the greatest common divisor of 135 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -3. Suppose -h = h - f. Let x(s) = 10*s - 11. What is the tens digit of x(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -0.2, -0.24, 191, -4\/5 in increasing order.\nAnswer: -21, -4\/5, -0.24, -0.2, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233\/18 - -79\/6. Which is smaller: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = 4*t + 6, 2*b = 5*t - 18. Suppose -t*z - 3*y = -84, -4 = -0*y - 2*y. What is the remainder when z is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190658, 190669, 190680, 190691, 190702?\nAnswer: 190713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 0.163, -3, 5.\nAnswer: -10, -5, -3, 0.163, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4587 + 17684. What is the highest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z + z + 3*z + 8 + 4 + 11. Determine w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:47 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19176 and 399432.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3, o: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34891, -34887, -34879, -34867?\n\"Answer: 2*j**2 - 2*j - 34891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tehe when four letters picked without replacement from {h: 1, e: 1, t: 14}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1145 and 2\/35.\nAnswer: 8015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:57 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764833.\nAnswer: 173, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 271*y - 53*y + 1312 + 214 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s**4 - 8482255*s + 396820752.\nAnswer: -16*s**3 - 8482255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/120 and 43\/4080?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -436\/2017 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -685.15 minus 1?\nAnswer: -686.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*i - 407 = 400, 3*s - 4*i - 574 = 0. What is the highest common factor of s and 3300?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:58 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**3)))\/((s*s**(-7))\/s)*(s\/(s\/(s**2*s)))\/s**(1\/9) assuming s is positive.\nAnswer: s**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y - 5*q, 3*y + 3*q - 3 = -0*y. Let s be (-34)\/(-8) + y\/4. Let p = 54 + -54. Solve p = j - s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + d - 2 = 0, 13*s + 3*d = 10*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - (10 + -9 + -104) is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(-68)*(-20)\/1. Suppose -z*b - 48 = -123. Suppose 0 = -6*w + b*w. Solve w = 4*h - 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:26 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -17*f**5\/5 - 41*f**4\/3 + 12*f. Find the third derivative of p(l) wrt l.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 469700\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q + p, 4*p = 5*q. Solve -5*i + i - 5*a - 18 = q, 2*i + 2 = a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {z: 1, i: 2, f: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0 + 7*i**2 + 1\/20*i**5 + 0*i**4 + 1\/24*i**6 + 19\/2*i**3 + 14*i. What is the third derivative of a(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -24.7. Let n = j - -2.7. Let f be 24\/(-21)*1\/4. Which is the nearest to 0.1? (a) n (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 18. Solve a = -3*g + 3*a + v, 4*g - 20 = -2*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/15)\/(16*(-6)\/(-24))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4017 divided by -3.\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33055 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185*f**3 - 1235*f**3 + 2354*f**3.\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142648 - -138083307\/968. What is the common denominator of o and -25\/12?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4 - -3) + 1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102\/13 - 1708\/221. Is 1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31031 (base 5) in base 13?\nAnswer: bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:27 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -38.85 (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 - 15*l - 56. Suppose 0 = -85*d - 99*d + 194*d + 60. Determine h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k + 1313. Determine w(126).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 + 36*b**4 - 80*b**3\/7 - 141152*b**2\/7 - 217632*b - 355264 = 0. What is b?\nAnswer: -122, -14, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239075?\nAnswer: 5, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3217151 or -22520062\/7?\nAnswer: -22520062\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114) - sqrt(114)*4) + sqrt(114))*-3)\/sqrt(6) + ((sqrt(19) + 4*((sqrt(19) - (sqrt(931) + sqrt(19))) + sqrt(19)))*3)**2.\nAnswer: 3*sqrt(19) + 90459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 162*n + 46. What is the hundreds digit of o(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -820247\/83 greater than -9883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = -5*q, 3*b - 4 = q - 2*q. Which is smaller: -22\/205 or b?\nAnswer: -22\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 220002)*(-30)\/8. What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0148 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20797\/627, 3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-102)*33\/22)\/(6\/12).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l - 99 - 40*l + 44 + 45*l**2 + 52 + 43*l**2 to p + s*l + d*l**2 and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2640090?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/13 - 3126*z**3\/13 + 38912*z**2\/13 + 2150040*z\/13 + 2108000\/13 = 0. Calculate z.\nAnswer: -20, -1, 34, 1550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 10. Suppose -2 - 4 = -2*i. Suppose -4*m - i*c = -q, -m + 2*c - 6*c = 0. Calculate the highest common divisor of 108 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 16*b - 41. What is r(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 + 84*u - 395. Give p(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v. Let c be b(-3). Let o(g) = 8 + 4*g**2 - 3*g**2 + c*g - 4. What is the units digit of o(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*-2*1 - (2*sqrt(343) + 4))*-4)**2.\nAnswer: 3584*sqrt(7) + 88064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 - (1 + -1))) + 1999 + -1996.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4493 greater than or equal to -19\/202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 142*c**2 + 379*c + 13166. What is a(-144)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5250\/162)\/5*1398\/1165*18?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3392*t = 1802*t + 12720. Let r(q) be the first derivative of q**3\/3 - 3*q**2 - 19*q + 2. Determine r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 4*i**3 - 6*i**3 - 10*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3097402 - 17797671797\/5746. Find the common denominator of -19\/14 and v.\nAnswer: 40222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 38, 69, 110?\n\"Answer: 5*g**2 + 6*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385650621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 99. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -7093.63.\nAnswer: -7091.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 16*i + 404. Let h = 70 - i. Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514654687 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**2 + 290*l + 3. Let x(s) = 20*s. Determine o(x(c)).\nAnswer: -2800*c**2 + 5800*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34760, -69657, -104552, -139445, -174336, -209225?\nAnswer: -244112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 14, 895 in descending order.\nAnswer: 895, 14, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5 = -5*l. Suppose q + 7*v = 9*v + 12, q - 6 = -4*v. Let c = l + q. Solve 5*b + c*i = -5, -2 = 2*b - 0*i - i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-9)*-1*(-18)\/60*10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 35 + -1 + -29 - (1 - -1)) + -106?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1053) + (-2 + sqrt(1053)*2)**2 + 2 - -4*(sqrt(1053)*-2 + sqrt(1053))*-2).\nAnswer: 45*sqrt(13) + 21090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, 16, -10, 1, -17 in descending order.\nAnswer: 16, 3, 1, -10, -17, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 4. Let z(t) be the second derivative of -t**4\/12 - t**2\/2 + 3*t. Let j(i) = -3*y(i) - 12*z(i). Let u(o) = -2*o**2. Give j(u(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 955265 = -12993365. Let c = h + -4007620. Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7404 * 322.\nAnswer: -2384088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 3*m**2. Let c = -52 - -58. Suppose 4*i + 24 = 4*b, -3*i - 28 = -4*b - 0*i. Let y = c - b. Let f(k) = -k**3 + 4*k**2. Give y*z(u) - 3*f(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 + 3105*j + 1866*j + 202 + 4181*j to w + s*j and give s.\nAnswer: 9152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/3 - 172*h**2\/3 - 502*h\/3 - 332\/3 = 0.\nAnswer: -83, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiwiwosimimooi. What is prob of sequence iw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42089, -42088, -42087, -42086, -42085, -42084?\nAnswer: -42083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.4935 millilitres in litres?\nAnswer: 0.3804935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72240 by 1204.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 420060829 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:37 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 + 54*i**2 - 1145*i - 20479. What is o(-20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q + 18*q - 8*q**4 - 14*q - 4*q**3 + 20*q**2 - 8*q.\nAnswer: -4*q*(q - 1)*(q + 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 71*p + 8. Let a(w) = 13*w + 2. Let o(x) = 11*a(x) - 2*f(x). Let g(m) = 22*m. Calculate g(o(z)).\nAnswer: 22*z + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -54. What is the remainder when 920\/(-10)*(-2 + 12\/8) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 1. Let s be i(-2). Solve 15 = -10*x + s*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -c + 3*j - 10, 0 = -2*c - j - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.0436.\nAnswer: -0.00436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1.5 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28554, 41838, 55122, 68406?\nAnswer: 81690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3129 + -1060. Is m a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2430 = -2398 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2631*k**2 - 8713*k wrt k.\nAnswer: -5262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:28 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 9 - 7*h + 3*h + 0 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -115. Suppose 55*l = 38*l - 7378. Let s = 455 + l. What is the remainder when q is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246.5*830161\nAnswer: 204634686.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70063, 5\/3, -2, 0, -9\/2 in increasing order.\nAnswer: -9\/2, -2, 0, 5\/3, 70063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 + 9*u**2 - 3. Let c(w) = -5*w**3 + 9*w**2 - 4. Let m(b) = 3*c(b) - 4*d(b). Find the third derivative of m(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -908*b - 6702. What is the hundreds digit of a(-57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.4. Let i = b - 1.7. Let g = 1.7 + i. Put 1\/12, -2\/7, g in descending order.\nAnswer: 1\/12, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjjj when four letters picked without replacement from {h: 10, j: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 90.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 139*c - 965. What is u(28)?\nAnswer: 2927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*q - 242*q + 33*q**2 + (-3*q + 3*q + q**2)*(0 + 0 + 2) as z*q + m*q**2 + j and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 10*s - 9. Let b = -7 - s. Suppose 71 = 5*q - h - 38, 0 = q + b*h - 24. What is the smallest common multiple of q and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 59\/(-2 + 6\/4). Let r = -3360.6 + 3361. What is the biggest value in k, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101404 (base 5) in base 4?\nAnswer: 310122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 4*l + 2. Let k(n) = n**3 - 11*n**2 + 7*n - 4. Determine -3*k(o) - 5*s(o).\nAnswer: -3*o**3 + 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5076 = -4*h + s, 2*h - 4*s - 1191 = 1333. Is 2\/(-3) + h\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 13*n + 6. Calculate j(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h**2\/5 - 2188*h\/5 - 4488\/5 = 0 for h.\nAnswer: -2, 561\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 50 - 75. Suppose -a = 2, -y*v = -2*a - 30433 - 187071. Round v to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Suppose 0 = -j - j - v. Let c = -32 - -32. Put c, j, 5 in descending order.\nAnswer: 5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:28 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 3*a = -5*c - 8831, -8*c + 17651 = 5*a. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.7 - 32. Let m = -2.7 + 2.9. Which is the second smallest value? (a) o (b) m (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) -1\/4 (c) -20 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 7}. What is prob of picking 1 j and 1 u?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 69*j + 12155 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2442.\nAnswer: -1\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = -2*g, -17 = 4*g - 3*z - 2*z. What are the prime factors of 3\/(g\/(-1427)) + 0?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43810, 87617, 131426, 175237, 219050?\n\"Answer: u**2 + 43804*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26481 and 374808.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 1. Let j(g) = -g. Let d(q) = -6*j(q) - w(q). Let s be d(3). Let p = 18 - s. Solve 0*r - 5 = r, -p = 5*z - r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 2.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1173 and 1173.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 64*u**3 + 508*u**2 - 3816*u + 5148 = 0.\nAnswer: -13, 33\/16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 + 38*l - 60 = 0. What is l?\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**6\/3 - 12*q**5\/5 + 3*q**4 - 4*q**3\/3 + 6. Factor l(j).\nAnswer: 4*j**2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11*t - 10. Suppose 5 - 3 = 2*o, 0 = 4*c + 2*o + 30. Does 38 divide q(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 w when four letters picked without replacement from {q: 3, s: 3, w: 3, r: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:32 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*r**5 + 6280*r**4 + 130116*r**3 - 1178536*r**2 - 347200*r = 0. Calculate r.\nAnswer: -200, -31, -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 346*o**3 + 9*o**2 + 8*o - 143. Let t(p) = -86*p**3 - 2*p**2 - 2*p + 36. Let u(c) = 2*l(c) + 9*t(c). What is the derivative of u(v) wrt v?\nAnswer: -246*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 81 (b) -1.8 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13.756 (b) 1 (c) -13\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c**2 + 2*c + 20. Let q be ((-324)\/(-18) - 30)*(0 + (-2)\/(-4)). Let l(n) = -5*n**2 - n - 7. What is q*h(j) - 17*l(j)?\nAnswer: j**2 + 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d - 6*d + 68*d - 78*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 108.772605ms?\nAnswer: 0.0000012589421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.79 + 24?\nAnswer: 27.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -15. Suppose g*j + j - 16 = 0. Let k(c) = c**2 - 4*c - 3. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3, 20 in ascending order.\nAnswer: -3, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 7904*a**2.\nAnswer: -4*a**2*(a + 1976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2 - 20*n - 2 + 5.\nAnswer: -20*n + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -9 - (-2121)\/231)\/3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p - 39. Let r be k(8). Suppose -r*o + 29*o = 948. List the prime factors of o.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001438424527 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3945, -5867, -5781, -3687, 415, 6525, 14643?\n\"Answer: 1004*x**2 - 4934*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -450*v**3 + v**2 + 16*v + 25. What is the remainder when o(-2) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/388 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7315\/8 + 913. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 + 3*l**4 + (6*l - l - 3*l)*(0*l**3 + 0*l**3 + 2*l**3) - 3*l**4 - 9*l**4 + 0*l**4.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = t, -240*d - 17 = -242*d + 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*c - c + 52, -5*c + 5*l = -75. Let y = 25 + -9. Suppose y = 5*p - 4. Calculate the remainder when c is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30431.\nAnswer: 30431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 28 = -4*c, 0*x - 26 = 4*c - x. What is the remainder when (-8)\/c*(16 + -1) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 179739\/(-17118)*(-48)\/14.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 - 18*f**4 + 18*f**3*o + 2*f**2*o + 955*f*o wrt f?\nAnswer: 120*f**2 - 432*f + 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 8) + -6 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349880 rounded to the nearest ten thousand?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2\/2 - 29*p + 85. Give w(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.023, 3\/5, -4 in increasing order.\nAnswer: -4, -0.023, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 14*f - 14. Calculate o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14aa - -2279a?\nAnswer: 23c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 2*c + 130*c**3 - 132*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 smaller than 13994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ae80 + 84?\nAnswer: af04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 590863744\/5 + -10953431962067\/92690. Let u = 82\/403 + g. Calculate the common denominator of -21\/8 and u.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.09 - 283.09. Let k = 278.9998104 + i. What is k rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 - 2*g**2 - g**3)*(-3*g**2 + 0*g**2 + g**2).\nAnswer: 6*g**5 + 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11455 - 0?\nAnswer: 11455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:23 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 3*d + 3. Let q(y) be the third derivative of y**6\/24 - 7*y**4\/24 - 7*y**3\/6 - 6*y**2. Suppose -3*x - 14 = 4. What is x*q(h) - 14*t(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75917 by -853.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {i: 1, c: 1, h: 1, k: 2, a: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-77)\/(-22) - 1\/2. Suppose b*z = -5*r + 242, 0 = 2*r - z - 52 - 36. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1409720 divided by -281944\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 772 - 770. Let v(k) = -5*k**3 - 5*k**2 + 2*k + 1. Let p(u) = 9*u**3 + 9*u**2 - 4*u - 1. Let f(m) = -4*p(m) - 7*v(m). Calculate f(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 17 = 5*s - w, s + 3*w = 7. Suppose 2*v + 41 + 29 = s*f, -4*v - 60 = -3*f. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3254*u**2 - 4246*u**2 - 2083*u**2.\nAnswer: -9583*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 14. Let o be j(-6). Suppose -o = 3*z - 16. Let b(c) = -51 + 29 + 22 - z*c. Let l(t) = 14*t**2. What is l(b(h))?\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0485 from -537.\nAnswer: -537.0485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 + 4*i. Let g(c) = -5*c**2 + 3*c. Let d(p) = 4*g(p) - 3*s(p). Let v be (-30)\/(-12) - 1\/(-2). Let k(q) = q - q + 0*q + v*q. Calculate d(k(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6 + 2 - 3*k + 4*k + 2*k. What are the prime factors of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - (-11 - -6) - 72) + (10 - -6 - 7).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6603 is divided by 3298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2403*b**2 - 647*b. What is the tens digit of l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + a - 7 = -23*k, -4*k + 2*a = 10. Let w(s) = -10*s**3 - 2*s + 2. Let x(v) = 10*v**3 + 3*v - 3. Give k*x(l) - 3*w(l).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.998 - -0.002. Put 0.3, g, 3, 4 in decreasing order.\nAnswer: 4, 3, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*5)\/sqrt(5) + -4.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751596?\nAnswer: 2, 3, 62633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 68 = 2*b, 4*b = 3*o + 2*b - 212. Let d be 17\/(-34) - 57\/(-2). Calculate the highest common divisor of o and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33898865671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*z + 2 - 10*z + 0 - 18*z in the form t*z + p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*q = -69, -2*q = 3*z + 2*z - 111. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 + 8 + 299\/(-13). Let w be (-4)\/(-10) + 7\/(-5). Put d, 0, w in ascending order.\nAnswer: w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, s: 1, o: 1, t: 4, j: 1}. Give prob of picking 1 o, 1 j, and 1 s.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j*j)**(-3)\/((j\/(j\/(j**(-2\/11)*j)*j)*j)\/(j*(j\/(j\/(j\/j**(-4\/3))))\/j))*((j\/((j\/j**2)\/j)*j)**(-48))**(-10) assuming j is positive.\nAnswer: j**(63311\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77386695 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62618.\nAnswer: 2, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -63753159 greater than or equal to -63753159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u = -42*u + 51*u + 92. Suppose 3*x = 6*x + 9. Let v be 1\/1*(-12)\/x. Solve 3*s = u*c - 5, 2*s - 4*c - 14 = v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 70?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1070, 3312, 6722, 11300, 17046, 23960, 32042?\n\"Answer: 584*b**2 + 490*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1016 + 1022. Solve b + z*c = c + 14, 4*c = b + 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let b(p) = 112853*p**2. What is b(o(i))?\nAnswer: 112853*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)\/(-2) + 2. Let k be 34 - (3\/t + -2). Let b = k + -16. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 562 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - i**2 + 1. Let l(g) = -9*g**3 + 4*g**2 + 1096*g - 6. Give l(d) + 4*p(d).\nAnswer: -d**3 + 1096*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 10*v - 15*v. Let n = v + -18. Solve -n*b - 18 = -2*j, -6 = -b - b - 2*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y - 26 = 0. Suppose y*h - 8*h - 5 = 0. Let o be 3 + h + (-1795)\/(-5). Calculate the highest common divisor of 33 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 4 + (88 - 60).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 10 = 0. Let p be ((-29)\/t + -3)*-28. Is p\/(-9) + (-14)\/(-63) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -s + 77. Suppose k - 849 = -s*k + 3*d, k - 171 = d. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254027*g**4 + 196603 with respect to g.\nAnswer: 1016108*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-79.3\nAnswer: 39.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 256 = 58 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlwwj. What is prob of picking 1 r and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 14*a**2 - 34*a - 3. Determine w(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10202200 (base 3) to base 7\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1107787 and 7.\nAnswer: 7754509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 12 - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -320.6 - -320.8. Let n = 3.2 + -0.2. Let t = 1.2 + -4.2. Sort 0.1, t, n, m in decreasing order.\nAnswer: n, m, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 0*v)*(-1 - 2*v + 1) - v**2 + 44*v - 44*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-1) + (-5 + -10)\/5. Factor 12 + 69*t**2 - 71*t**2 + k*t + 8*t.\nAnswer: -2*(t - 6)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 28. Let b = 28 + h. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74654 * -0.08.\nAnswer: -5972.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a - 795*a**2 + 192*a**2 + a - 8*a - 2*a in the form k*a + i*a**2 + q and give i.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 0*s - 7 = -z, z + 2*s + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -146\/1265?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**2 + 384*v - 3029. Determine f(9).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, -25 = -4*x + 3*z + 39. Suppose 0 = x*w - 18*w + 16. Let v(l) = 47*l**2 + 1. What is the smallest common multiple of v(-1) and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4498 + 0.0498. Let k = 0.1 - -0.1. Let l = 13 + -10. Which is the second biggest value? (a) l (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 + 2924*s + 2920 = 0 for s.\nAnswer: -730, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231002 (base 7) in base 10?\nAnswer: 41162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*g**4 - 18*g**2 + 18*g**2 + (g**3 - 2*g**2 + 2*g**2)*(-2 + 2 + g) + 7*g**4 + 13*g**4 + 2*g**4.\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50173392 divided by 245948?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Let w be -1 - (-1 + p\/1). Which is the smallest value? (a) 5 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3409266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23756, -23621, -23486, -23351, -23216?\nAnswer: -23081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(900) - (sqrt(900) - (sqrt(900) - 2*sqrt(900)))))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - -0.26. Let j be (-6)\/21 - -4 - (4 - 0). What is the nearest to j in -3, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*t - 14044 = 11362, -3*t - 15231 = -3*m. What is the greatest common factor of m and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) -0.304 (c) 1\/2 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-201)\/29 - (-7 + 0))*(-18)\/(10 + 8)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*s - 7678 - 2552230. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -5.5, 0.1, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 2:43 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1001, -4292, -12897, -29366, -56249, -96096, -151457?\nAnswer: -224882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m + 20. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 3*p + 198. Let v = -13 - p. What is the second derivative of -v*l**5 + 19*l + 18*l**5 + 7*l**5 - l wrt l?\nAnswer: 320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 14 - 60 - 177*u + 83*u + 93*u.\nAnswer: -u - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s - 2*h + 7, -4*h = -8. Calculate the greatest common divisor of 21 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 652102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, 1 n, and 1 b when four letters picked without replacement from trnnntbrirrrrrrssr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -820 > -819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*sqrt(2448))**2 - (5*(4 + sqrt(17)) + sqrt(17)))*-2*-6.\nAnswer: -144*sqrt(17) + 2114592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 31 + 25 + 83 + 52 - 16*f as k*f + c and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2825 (b) -2\/15 (c) 3 (d) -0.3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345598*t + 3363 = -345541*t. Suppose -l + 49 = n + 3*l, 2*l = n - 67. Which is bigger: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135090*g*o**3 - 2*g*o**2*x**2 - 71*g*o**2 - 55*g*o*x**3 + 676893*o**3*x**3 wrt x?\nAnswer: -330*g*o + 4061358*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5128028 or 5127973?\nAnswer: 5128028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(140)\/(sqrt(56)\/sqrt(8)) - (sqrt(180)*1)\/sqrt(9)) + ((sqrt(80) - sqrt(80)*2)*-1)\/(-1*(sqrt(16)\/sqrt(4) + sqrt(4) + sqrt(4))).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -795274 divided by -25654?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (24 - (2 + -13 + 23) - -8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 9*o + 3. Let z be ((-36)\/8 + 5)*(-1 + 119). Suppose -z = 3*p - 71. Let g be f(p). Solve -h - 4*q = -7, 6*h - g = 2*h - 3*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 9.99. Let z = l + -1.01. Which is greater: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 187*x**3\/2 - 301*x**2\/2 - 627*x\/2 - 135\/2 = 0 for x.\nAnswer: -1, -1\/4, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/24 - (-3 - 226\/(-56)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11299 - -56.11299. Sort 0, b, 0.1 in decreasing order.\nAnswer: b, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 809 + 125. Suppose k + 164 = 2*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1225, 1057, 617, -227, -1607, -3655?\nAnswer: -6503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/11 - 3495080*k**3\/11 + 31455828*k**2\/11 - 8578872*k + 94367646\/11 = 0. Calculate k.\nAnswer: -1747549, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -577, -573, -559, -529, -477, -397?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13646 or 13645?\nAnswer: 13645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(-6)*-3)\/(103\/206).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129700683 + -208947788177\/1611. Let k = -4\/179 - c. Calculate the common denominator of -27\/35 and k.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i + 17*i + 2*i**2 + 2 + 5*i**3 as k*i**2 + b + h*i + j*i**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463314 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b**2 - 2*b**2 + b**2. Let d(c) be the second derivative of -5*c**4\/3 - 30*c - 2. Calculate g(d(r)).\nAnswer: -400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 5425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 4:18 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.887 less than -0.3?\nAnswer: 0.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/27, 2\/37, 4\/7, -2\/5, 3, -2 in increasing order.\nAnswer: -2, -2\/5, 2\/37, 4\/27, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41871 in -9\/7, 2, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/7 + 1598934*x**2\/7 + 213049161363*x\/7.\nAnswer: 3*x*(x + 266489)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3404.09351247 and 2.41.\nAnswer: 3406.50351247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222332 - -20321?\nAnswer: 1303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**2 + 3*m**2)*(907 - 512 - 593)*(-m**3 + 5*m**3 - 3*m**3).\nAnswer: -1386*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y**2 + 2*y + 31. Let r(n) = 5*n**2 + n + 16. Let x(s) = -3*m(s) + 7*r(s). What is the tens digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12939*n + 12937*n - 25878*n + 959*n**2 + (-2 + 2*n + 2)*(2*n + n - 2*n) to s*n**2 + a*n + r and give s.\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - p + 1. Let w = 327 - 398. Let m = 73 + w. Determine g(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2*(-1 + -61)\/((-5)\/65).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 11*v - 8. Let f be o(10). Let g(q) = q**3 - 2*q**2 + 4*q - 3. Give g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 23 = 4*y, -2 = y - t - 14. Let c = y - 5. Let g = c + 4. Let h(f) = f**2 - 7*f + 1. Determine h(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 15) to base 5\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/12)\/((-21)\/(-12) - 1). Put -14, t, 5 in decreasing order.\nAnswer: 5, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 38 - 3*u - u - 29. Let w(q) be the third derivative of -q**4\/24 + q**3\/2 + 35*q**2. Let s(l) = 6*j(l) - 17*w(l). Give s(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a millennium?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.45815 - 840.95185. Let w = -897 - c. Let h = 55 + w. What is h rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 - 223*s - 59. What is the tens digit of m(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 10. Suppose 4*s = -2*m + 88, -w*m + s = 5*s - 184. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 2. Let k = p - 20. Suppose 0 = -7*x + 4*x - 4*v - k, -4*x = 3*v - 8. Sort 1, -1, x in decreasing order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -l + 120, -2*p - l = -7*p + 150. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20 = 2*f, 30 = 5*g - 6*f + f. Solve -g = -2*q, 0 = t - 0*t - 5*q + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -16. Let r = 0 + h. Let u(m) = m**3 - 55*m**2 + 252*m - 97. Let g be u(50). Solve r*n = g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-121)\/(-99) - 0 - (2 - 1). Let z = 0.3 - -0.7. Which is the closest to z? (a) n (b) 0.7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**3\/3 - 5. Let a(h) = -3 + 3 - 4*h. Determine x(a(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/35 greater than or equal to -0.31141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.14 - -0.14. Is 2\/5 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1305 + -1304.9. Which is the third biggest value? (a) -0.07 (b) -3 (c) p (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110 - 5?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/10 + 612\/765. Solve 0 = g*n + 12 - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80902667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2834, 2797, 2664, 2375, 1870, 1089, -28, -1541?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4) + (-9)\/(-12)*(4 - 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580545*s - 1155681*s + 577823*s.\nAnswer: 2687*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 222, 233, 248, 267, 290?\n\"Answer: 2*v**2 + 5*v + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 0*k + 6*k)*(1 - 3 + 1)*(0 - 3 - 2)*(4 - 2 + 0) + (-2*k + 2*k - 2*k)*(2 + 2 - 3) to the form m*k + p and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 235*h**2 - 6*h + 13. Let r(m) = -234*m**2 + 8*m - 12. Let v(g) = 4*r(g) + 5*w(g). What is the second derivative of v(z) wrt z?\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15718, -15730, -15740, -15748, -15754, -15758?\nAnswer: -15760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(-1*(sqrt(475) + 2) + sqrt(76)\/(3*(4*sqrt(4) + sqrt(4)) - sqrt(4))))**2 + 0.\nAnswer: 2208*sqrt(19)\/7 + 364727\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -320*h**5 - 22671*h**3 + 18761987*h**2 wrt h.\nAnswer: -19200*h**2 - 136026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*o = -253*o + 3*d + 12, 0 = -5*o + 4*d - 6. Let q(a) = 4*a + 2. Let n(i) = 1 - 2 + 9*i + 4. Let p(g) = 2*n(g) - 5*q(g). Give p(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 300. Let q be v\/(-2)*(-2 + 1). Suppose q = -y + 3*y. Solve -6*c + c = -y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181733?\nAnswer: 3, 7, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnccncnc. Give prob of picking 3 c.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -2.5. Let y = -0.03 + 4.03. Let s = d + y. Is s less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1011899 - -3?\nAnswer: -1011896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -4)\/7 - (-293)\/7 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.7778 to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -34 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 a when four letters picked without replacement from bsbabasaaab.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*c - 10 = 0, 3*y + 9*c - 17 = 5*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/5 - 1985732*v**3\/15 - 10953099138*v**2 + 36511727832*v\/5 + 54765936968\/3 = 0. Calculate v.\nAnswer: -165478, -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11524 + 34869 - 21279 = 1816*i - 139582 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**3 - 4*c**2 - 4*c + 4. Suppose 5*k + 12 = -23. Let h(j) = -11*j**3 - 7*j**2 - 7*j + 7. What is k*n(u) + 4*h(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 69*b + 4. Let u(w) = 14 - 8*w + 77*w - 4 - 7. Let k(g) = -3*l(g) + 4*u(g). Let o(x) = 2*x**2. Determine o(k(s)).\nAnswer: 9522*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228.95 - -3.95. Let s = u + 225.00137. Round s to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5)*8*252437\/(-12314))\/((-4)\/(-10))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5818 - (6\/(-24) - 60\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*q - 6, -2*z - 3 = 2*z + q. Let b = -23 + 22.7. What is the nearest to b in z, -4, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u**4 - 15*u**4 + u**4 + (5*u**3 - 5*u**3 - u**3)*(-4*u - 3*u + 6*u) to w + y*u + b*u**4 + a*u**2 + x*u**3 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452658656 is divided by 4141.\nAnswer: 4138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282351\/17 + 16609. Suppose 2 = 4*v - 6. Which is the fourth biggest value? (a) -0.09 (b) v (c) 4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 0*r**4 + r**4 + (-7*r + 2*r - 2*r)*(-r**3 + 2*r**3 + 6*r**3).\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1291247 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14478 less than -1.4?\nAnswer: 14476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 3472.\nAnswer: 38192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 232, 419, 606, 793?\n\"Answer: 187*l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + d + 11. Let z(q) = -7*q**2 - 8*q - 21. Let p(y) = -5*u(y) - 2*z(y). Give p(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a (base 16) to base 13.\nAnswer: -3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*9\/30*4. What is the third derivative of -4*u + 2*u - 3142*u**2 + 36*u**w + 3153*u**2 wrt u?\nAnswer: 4320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2. Let s be 2\/3 - 23\/3. Let t(f) = 4*f**2 - 7*f. Let m(h) = 0*h**2 + 21*h - 40*h - h**2 + 21*h. Let c(w) = s*m(w) - 2*t(w). What is n(c(v))?\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wptkt. Give prob of sequence tkt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/81 and 107\/21799818.\nAnswer: 196198362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 13. Determine k(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273683761 to the nearest integer?\nAnswer: 16543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4872\/546521 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/12 - x**3\/6 + 7*x**2\/2 + x. Let r be -3 - (-6)\/((-6)\/(-3)). Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = -w + 7*w. Let r = w - 1. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 - (112 - 105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4\/3)*b*b**(-3\/4)\/b)**(-3\/16))**(-5\/8) assuming b is positive.\nAnswer: b**(95\/512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -j - 11, 2*g = -2*j + 7*j + 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3526 - 627 - r**3 + 4153.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 19698*b**2 + 19698*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14017610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:41 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.699 to one dp.\nAnswer: 19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 204 (c) -1 (d) 0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 4.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 798\/(-4)*(-5 + 3). Suppose -m - 9 + 26 = 4*s, -5*m = -2*s - 19. Suppose -49 + w = m*y. Is 70 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + (-2)\/(-4). Let f be 5270\/(-439) - (130 - 142). Is p > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165981244 divided by -17324.\nAnswer: -9581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-190))\/(272\/680)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 56*j**2 + 43*j + 1195. What is p(-28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 6 + 4\/4. Solve l + u = i, -5*l + 0*l + u + 21 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52118\/(-52877) - 24\/(-22).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 253106338 and 1715.\nAnswer: 253108053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:40 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 538*n - 17007. Give s(-30).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 273405*x - 74750294025\/2.\nAnswer: -(x - 273405)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*35\/25 - ((-1013220)\/(-144024) - 1\/34)?\nAnswer: -2\/353","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449703101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 - 12*j - 12. Determine p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14139 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7475\/8740 - 2\/19)*24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-12 - -8 - 14) + -14?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Let i = p - -6. Let u be (-12)\/9 + (0 - -1). Which is the smallest value? (a) u (b) -1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*v**3 + 45\/7*v**2 + 375\/7 - 225\/7*v.\nAnswer: -3*(v - 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-26) - ((-16713)\/39)\/(-3). Let b = i - -343. Round b to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 1 - 1)*(-9*t - 1 - 8*t + 15*t).\nAnswer: 2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 7*a + 3. Let l = 74 + -51. Let d = l - 20. Is w(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -312*g**2. Let c(w) = 4*w**2. Give j(c(n)).\nAnswer: -4992*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2746*s**5 - 2009*s + 2 wrt s.\nAnswer: 54920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -5, -2 in decreasing order.\nAnswer: 89, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5*m + 22 - 6, 0 = -2*m - 5*t - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 43*t - 74. Determine f(5).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7677014 is divided by 2558999.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3018 + 2*z - 3016 - 3027 + 12084 - 3023.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*p = 312*p + 4*n - 45 - 43, n - 120 - 109 = 5*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-392)\/(-315))\/14)\/((-4)\/20)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20314693 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from cncnuw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 9724?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d - 2*d + (-2 - 2 + 1)*(d - d + d) - d + 2 - 2 + (4 - 4 - 2)*(0*d + d + d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165c (base 15) to base 10.\nAnswer: -4812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let o(a) = -5*a + 4. Let v(f) = -f + 1. Let r(k) = -o(k) + 4*v(k). What is the units digit of r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/12 + 4*u**3\/3 + 3*u**2 - 11*u. Let o be m(-7). Let b(z) be the first derivative of 2*z**3 + z + 1. What is b(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**6 + 1438*s - 3*s**4 + s**4 - s**2 + 8*s**4 - 1438*s + 1261 wrt s?\nAnswer: -240*s**3 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 122402287.\nAnswer: -12240228.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 35*p + 40. Let c be j(19). Let t = 36 - c. Suppose u - 38 = -y, -2*y - 27 - t = -2*u. 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: How many nanograms are there in 483543.3ug?\nAnswer: 483543300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(6\/9 + 28\/(-24)). Let b(x) = x**3 + 2 - 3*x**3 + x + x - v*x**2. Give b(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 - 1\/(-4). Which is smaller: 3\/44 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.2 (c) 0 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, -0.3, -7, 280, -1 in decreasing order.\nAnswer: 280, 5, -0.3, -1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.16066319 and -176.9?\nAnswer: 174.73933681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2990?\nAnswer: 2990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30832 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 11:35 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2. Let h(q) be the first derivative of 0*q**2 + 0*q - 2 - 2\/3*q**3. Give d(h(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - (-6)\/12*8. Suppose 0 = 2*l - 8, 2*l = 2*a + 20. Let x = 9 - 5. Sort 3, a, x, s.\nAnswer: a, s, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.051489 and -0.39.\nAnswer: -0.02008071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529 and 8395.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5014 = -20*b + 15214. Calculate the least common multiple of b and 60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*m + 4*m - 11*m in the form n + x*m and give x.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3161*z**3 + 1577*z**3 + 1582*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5976 and 126.\nAnswer: 41832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 443614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/34 - (-5)\/(-2). Let t be 3\/(-8)*z - 87\/84. What is the closest to t in 0.4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjoojbbjjjojbbbo. What is prob of sequence bjb?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-1)\/(-2) + 17 + -16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12332006*n**2 + 20741. Let a(z) = -2973*z**2 + 5. Determine 20741*a(u) - 5*y(u).\nAnswer: -2963*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxbbxyqyybbqyyxbbqxq. What is prob of picking 2 x and 1 b?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 + v**3 + 5*v**3)*(0 + 0 - 2) + 2*v**3 - 2*v**2 + 2*v**2 + 2*v**2 + v**3 - 2*v**2 to i*v**3 + l*v + w + p*v**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, -0.9, -5, -139?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from tyyyqpydyytypyq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12*-5)\/((-44165)\/968).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (0 + sqrt(363) - sqrt(363))) + sqrt(3))**2*-5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -412, -619, -826?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 13 = 33 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/12 + 5*o**3\/3 - 4*o**2 + 2*o. Let t = -6 - -14. What is the units digit of d(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 15) to base 16.\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 276210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -17. Suppose -6*g + 25 = -3*g - 5*r, -f = -4*g + 2*r. Let y(k) = 5*k**2 - 2*k. Let q be y(-1). Solve -g*o = -q - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -4*b - b + 1, 3*b = 4*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5508*v = 5362*v + 2628 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*g - 103*g - 5*m - 10, 3*g = 2*m + 13. Put -5, 823, g, 2 in descending order.\nAnswer: 823, g, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10059324593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**4)\/(h\/(h*h**(-6))*h)*(h*h**(1\/3))\/(h**(-2\/5)*h) assuming h is positive.\nAnswer: h**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(4 - 55\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -42. Let y(g) = 6*g + 10. Let a(w) = 2*w + 3. What is f*y(u) - 10*a(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 505 = -2*g, -5*g = -u - 2*u + 303. Suppose -m - u = -2*m. List the prime factors of m.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 6371.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 446561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1003, 3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891946, -892097, -892250, -892405, -892562, -892721?\nAnswer: -892882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 180\/3 - (1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -346, -305, -226, -97?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = -0*v. Suppose 0 = -3*i - 3, v*f - 7 - 48 = -5*i. Suppose y + c = 3, y + 0*c = c + 3. Solve -y*g = g - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 + 54*w + 221. What is the tens digit of u(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 5 - (-630)\/(-2). Let i = x - -465. Is -3*(-4 - i) - -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*(5*z - 3*z + 0*z) + 0 + 0 + 2*z + 3 + 2*z - 3)*(-z + 0*z - z + (0*z - 3*z + z)*(-1 + 1 + 2))*(6*z + 7*z + 7*z).\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -319?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 7. Suppose 10*r - 9*r = 7. Let u be p(r). Suppose 22*b + 9 = 25*b. What is the third smallest value in -0.04, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.5, -1, -9, -0.2103?\nAnswer: -0.2103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 16. Let s be u(4). Solve s = g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = -116. Suppose 3*z = -28*o + 27*o + 92, 5*o - 4*z = 593. Calculate the remainder when o is divided by a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 227*j - 192. Let q(w) = -368*w**2 + w. What is k(q(p))?\nAnswer: -83536*p**2 + 227*p - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a390 (base 11) in base 6?\nAnswer: 143432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*h + 10 = -4*h, -8 = 4*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*h + 513 = 392*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 14 + -22 + -35\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1663944 and 5576?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -35. Is 891\/(1 - k) + (0 - 3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 6) to base 16.\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + (1*sqrt(208) - sqrt(208)))**2 - sqrt(208))*-6 - ((sqrt(208) - (sqrt(208) + 0)) + -3)**2.\nAnswer: -1257 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 247*-748\nAnswer: -184756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - -0.13. Let i = 19 - 49. Let l be (5\/i)\/((-1)\/(-2)). Which is the nearest to k? (a) -4\/5 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 + m - 4. Let a(q) be the second derivative of -q**4\/2 - q**3\/6 + 3*q**2\/2 - 4*q - 5. Let u = 144 - 147. What is u*i(c) - 4*a(c)?\nAnswer: 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117.8 times -17556?\nAnswer: -19624096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 3)*3\/5. Let i be (-3)\/(g\/10)*7. Let p be (6 + -1)*(1 + 1). Calculate the greatest common divisor of p and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341721*q**2 - 685105*q**2 + 343385*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 5. Suppose -4*w - 5*g = -22 - v, 5*w - 5*g - 60 = 0. Let m(y) = w - y - y**3 - 2*y**2 + y**2 - 6. Give m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217382.799986 - 217384. Let n = -5.8 + 7. Let k = m + n. Round k to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/10)*l\/(l*l**(-2\/15))*l\/(l**4\/l)*l*(l\/l**4)\/l assuming l is positive.\nAnswer: l**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozoooooooooo. Give prob of picking 2 o and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/69))**(2\/17) assuming x is positive.\nAnswer: x**(-4\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7 + 1 - z + 1. Let u(a) = -3*a**2 + a. Let o be u(-1). Let g = o - -4. Give d(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 4:04 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 17*k**2 + 10*k + 22. Give j(9).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2058) + sqrt(2058) + sqrt(2058))\/((sqrt(6) + sqrt(294))*6).\nAnswer: 7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:31 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 2*g**2 + 4*g - 1. What is d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**6 + 5*x**2 - 7*x**6 - 11*x**6 - 12*x**6 wrt x?\nAnswer: -3000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422311031 (base 5) to base 13.\nAnswer: 498206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21285803599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010918 to four decimal places.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2. Let n(y) = -583*y**2 + 5. Let w(m) = 291*m**2 - 3. Let d(b) = -3*n(b) - 5*w(b). Calculate d(x(l)).\nAnswer: 7350*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/6*(-6)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (27 + (-22 - -10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c - 4. Let p be 2\/8 - 4\/16. Give x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttybyystsyysttys. Give prob of picking 1 s, 1 t, and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2158 less than or equal to -2162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-18))\/((-6620)\/9930).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*s = -45*s + 12552 - 5675 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -15.05. Let v = -40 + 36. Which is the third smallest value? (a) 0.2 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 66422?\nAnswer: -66421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(18\/(-52))*(-156)\/(-104). Let c(s) = 0*s + 0 - 17 + 3*s. Calculate the least common multiple of 20 and c(r).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*z**2 + 23*z**5 - 6*z + 21*z**2 - 39*z**5 + (z**5 + 5*z**5 + 0*z**5)*(1 - 5 + 3).\nAnswer: -22*z**5 + z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3 = 3*y, 1288*b + 2*y + 698 = 1518*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388659 or 388664?\nAnswer: 388659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = 14. Calculate the greatest common divisor of s and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. Let y be 2\/(0 - 4\/(-6)). Let z = y - 1. Is a >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (26 - 15) + (3 - 4) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -15, 22, 85, 180, 313?\n\"Answer: r**3 + 4*r**2 - 2*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 3, -42 in descending order.\nAnswer: 5, 3, 0, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2\/4 + 4965*l\/4 - 41778 = 0. What is l?\nAnswer: -1688, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 2 = v + 6*w, -4*w = -4*v - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-6)\/10 - -1. Let s = -13 + 10. Let q = -265 - -263. Which is the closest to -3? (a) g (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 1. Suppose 3*j - 4*l - 26 = 0, 2*j + 5*l = 6*j - 33. Let y be (j - (-4)\/(-2))*1. Let a = y - 4. Let z(k) = 16*k + 5. What is a*z(w) - 22*r(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 2*n - 113386239 + 113386239.\nAnswer: 5*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 2 + (1 - (-1 - 2602)). Let z = -1808 + u. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 23. Let g(y) = 4136 - 2063 + 3*y - 2061. What is -4*b(k) - 7*g(k)?\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 6126*x + 28145907.\nAnswer: (x - 9189)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxfffkkyfkfyfxfxx. Give prob of picking 1 k and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701190 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -430.191 - -2303.601. Let d = 1881 - m. Let v = d + -5.08. Round v to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 + 110*f - 96. Determine s(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -52 (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)*k)**(3\/11)\/(k**(-12)\/k**(-2\/23)) assuming k is positive.\nAnswer: k**(5959\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2. Let g(c) be the second derivative of -c**4\/4 + c. Calculate t(g(p)).\nAnswer: 45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1216798 and -1216792 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9434427 and -90259.\nAnswer: 9344168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(1\/3)*r\/(r*r**(3\/7)*r)*r**(-5\/4)*r*r**3 assuming r is positive.\nAnswer: r**(167\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474*j**3 - 557*j**3 - 3 + j + 262*j**3 + 433*j**3 to the form m*j**2 + g*j + b + y*j**3 and give y.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33654*j + 33654*j - 17*j**3.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 1. Let d be o(1). Suppose n + 1 - 3 = d. Suppose 2*u + 2*t = 68, -2*u + n*t + 75 = 15. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-27) - (-87)\/27. Suppose -8 = -7*y + 3*y. Suppose y*j = q*j - 18. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104c - 1854?\nAnswer: -28a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -771 times 0.66?\nAnswer: -508.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21380 - 15772 = -142*n - 546*n for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271.26 - -181.3. Let r = f + 92. Let m = -2 + r. What is m rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183571889 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/864 - 16\/(-113 - 15).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279 - 283. What is the nearest to -22\/7 in -0.3, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 20. Suppose -2*h + 24 = -5*h. Let x be a(h). Suppose s - 24 = -s - 4*p, 0 = p - x. Solve -s*t - 24 = 3*j, -j - 1 = -t - 0*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/20488 and 77\/2364?\nAnswer: 61464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025716 rounded to five dps?\nAnswer: -0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 27*i**5\/2 + 2355072*i**4 + 6541794*i**3 + 5495085*i**2 + 1570017*i\/2 - 523341 = 0.\nAnswer: -174447, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-100)\/(-3)*((-11698)\/(-1) - -2). What is g rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6*t = -336995, -3*h + 2198 + 199971 = -2*t. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*4\/(12\/(-7)). Let b = o - 3. Sort 2, -2, b in increasing order.\nAnswer: -2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(-5 + (1 + sqrt(1300))*-1))**2.\nAnswer: 3300*sqrt(13) + 33589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + x**2 + x**2 + 7 - 4 + (x**2 + 2*x**2 - 2*x**2)*(-2*x + 0*x + 4*x).\nAnswer: 4*x**3 + 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -114229 (base 11) to base 2\nAnswer: -101100010000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 12. Let o(w) = -6*w**2 + w - 3. Let j = 13 + -8. Let i(g) = -4*g**2 + g - 2. Let b(m) = j*o(m) - 8*i(m). Determine b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2. Let l(t) be the second derivative of 69*t + 0*t**2 - 17\/6*t**3 + 2. Calculate n(l(v)).\nAnswer: 2023*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1389\/21 + -19 - (2\/3 + (-140)\/(-294))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 5. Let u(s) = 1. Suppose i + 1 = -6. Let x(h) = -h + 1. Let o be x(i). Let a = o + -4. Calculate a*u(v) - g(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n + 74 = 2042 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0. Let w = 11 - 20. Let q = w + 8.9. What is the closest to q in y, -5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338175810 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3247 (base 16) in base 5?\nAnswer: -402441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-7) - (-4 + (-52)\/(-14)). Factor -3 + 5*b**2 - 8*b - 13*b**v + 1.\nAnswer: -2*(2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -1860 in descending order.\nAnswer: 0, -22, -1860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 3*u. Suppose 0 = -y - 4*p + 6 + 15, 5*y + 5*p = 45. Suppose 3*m = -2*z - y, -4*z + m + 0*m = 17. Give r(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184\/59 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((0 + (sqrt(243) - (sqrt(243)*-4 + sqrt(243))) - sqrt(243)) + sqrt(243) - sqrt(243) - (1 + -4*sqrt(243)))*1)**2 + 4.\nAnswer: -126*sqrt(3) + 11912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = -0*s - 2*d, s - 3*d - 1 = 0. Suppose -5*a = -s*a - 10. Let t = a + -10. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*b - 2*f, b + 62 = -b + 3*f. Let p be (4\/(-10))\/(b\/(-40)). What is the closest to 1\/2 in 0, -5, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518 and 16016.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674498 = 18571*n - 10728*n for n.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2693*c + 1365*c + 1350*c - 88 = 0. Let z = -1 - -4. Solve z*t = -c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 2*c, -3*c - 3 = 4*n - 8. Suppose -4*k = -a + 34, -n*k + 9 + 6 = 0. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/1187930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/62 and -47\/478.\nAnswer: 14818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 5*o**3\/3 + 3*o**2 - 5*o - 1. Is b(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/10 - 5\/(-2). Solve -2*b - m*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, v: 1, n: 10}. Give prob of sequence nvnn.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 0*l**2 + 0*l**2)*(-1 - 5 + 4) + 0*l**2 - 3*l**2 + 4*l**2 + (-6*l + 0*l + l)*(3*l - 4*l - 3*l).\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9. Suppose 2*b - 6 = -4*x, 5*b + 25 = 4*x - 2. Let h be (x\/(-2))\/(2\/4). Is d at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25368*o**2 - 23 - 149628*o**2 + 38430*o**2 + 43 - 18.\nAnswer: -136566*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43\/(1 - 0\/(-5 + 4)). Suppose q = 2*r - 5*i, -r + 26 = -0*r - 4*i. What is the remainder when 27 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 18*g + 8 - 5 - g + 2*g - 2*g + (g - g - g)*(-1 + 4 - 2) - 8*g + g - 5*g + (3 - 2 + 0)*(g + 2*g - 2*g).\nAnswer: -31*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 89, 176, 359, 674?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 335625774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27332*u - 240 = 27362*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12469, 12729, 12989, 13249, 13509?\n\"Answer: 260*r + 12209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhehhhhhhhhhhehh.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/86, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4672.075ng to grams.\nAnswer: 0.000004672075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 923836369 to the power of 1\/2, to the nearest integer?\nAnswer: 30395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009101 to seven dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1897552 divided by -118597\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - l + 6*l)*(-15 + 1 + 0).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 + 7*w**2 - w - 5. Let s(v) = 4*v**3 + 7*v**2 - 4. What is 3*d(i) - 4*s(i)?\nAnswer: -i**3 - 7*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79*p - 4880 wrt p.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**5\/20 + 47*t**2. Let v(c) = -6*c - 2*c + 4*c + 5*c. What is v(f(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7886 + -94577\/12. Find the common denominator of ((-5)\/(-6))\/(40\/(-75)) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 20*c + 34. Let h be l(2). Is 47 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51006990 divided by 6\nAnswer: -8501165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1095 and 34\/21.\nAnswer: 7665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-2 - -6) + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 35, 39, 79, 167, 315?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.104 and 35.\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, -24, -269, -530, -813, -1124, -1469, -1854?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10023323 + -20031?\nAnswer: 10003232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1045\/(-435) + (-76)\/(-228)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15584979, 31169960, 46754941, 62339922?\n\"Answer: 15584981*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d - 6. Let v be c(4). Let b = v + -18. Solve x - 5*x + b = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llflllff. Give prob of picking 3 f and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from hgy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i - 1\/132*i**4 + 0 + 1\/55*i**5 + 151*i**2 + 1\/660*i**6 - 2\/11*i**3. Factor a(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4641 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 10*f**2 + 3. Let r(g) = -11*g**2 + 3*g - 2. Let s be r(1). Calculate n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27))\/((-20)\/90)*(-12 - 34)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/87*-70*27\/18\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 48, 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 + 555 = 105*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3378*m**2. Let y(o) = -73613*o**2. Determine q(y(u)).\nAnswer: -18304955591682*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339346 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:10 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -341 (base 10) to base 4\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296462 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 9*p**2 - 5464 + 20*p**2 + 5635. What are the prime factors of f(10)?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4544 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 p when four letters picked without replacement from {z: 1, u: 3, h: 3, p: 10, f: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndn when three letters picked without replacement from dydnkdnkdnkkdkknn?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (1 + -3)*-2. Suppose 120 = -l + o*l. Suppose 11*c = 8*c + l. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 142 = -s. Let i = 72 + -48. Calculate the remainder when s is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -1175\/209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-79*z**4 + 39*z**4 + 28*z**4).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 10*q**2 + 19*q - 56. Let v be a(-18). Suppose 5*r - v = -5*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 6*a)*(-28 + 36 + 57).\nAnswer: 195*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 21 + 39 + 60*j**3.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6606*z - 435992. What is n(66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -173 * 7013872\nAnswer: -1213399856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107490 divided by -4.\nAnswer: -53745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*((-15)\/63)\/((-8)\/432*-45).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 15) to base 7\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15592 at least -15461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.2, -9, -0.03, 5.\nAnswer: -9, -7, -0.2, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283308253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(-4)\/14 - -4. Which is the closest to 1\/4? (a) i (b) 2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1603*a**3\/2 + 28382*a**2 - 16984*a + 288 = 0. What is a?\nAnswer: -36, 4\/229, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 353*s**7\/7 + 2*s**5\/5 + 142*s**3\/3 + 3*s**2\/2 - 1. Find the third derivative of t(o) wrt o.\nAnswer: 42360*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 31 = -14. Let x(z) be the first derivative of 0*z - 2\/3*z**3 + m - 3\/2*z**2. What is the second derivative of x(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 1609*q**5\/12 + 949*q**4\/4 - 3577*q**2. Find the second derivative of f(i) wrt i.\nAnswer: 16090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 g, and 1 q when four letters picked without replacement from {q: 1, i: 2, g: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1584)*-2)**2)*-1 + 2 + 4 + 4.\nAnswer: -6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -2\/7, 4, -1\/6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**2 + u + 2*u - 93*u**2.\nAnswer: -151*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 + -172. Which is smaller: -5\/23 or o?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 + 190. Let h be 4\/((f\/22)\/1 + 0). Calculate the highest common factor of h and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.99949 - 45. Round i to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 16*p - 11*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -0*u. Let h = 3 - u. Let q = h + 3. Solve 0 = 2*j - 2*n - 4, 2*j - q = 3*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22796*o - 154008*o - 85676*o.\nAnswer: -216888*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2 = 43. Let j be f - (-3)\/(-3)*2. Solve 3*q = j*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48180782 is divided by 382387.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 + 8*j + 8. What is h(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8787)\/4)\/((-171)\/456)?\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h = 70*h - 122*h + 57*h + 236 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.4 + -28.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.5 + -21.5. What is the fourth biggest value in -3, u, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -0.030569114.\nAnswer: 0.169430886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*n - 2 + 17 = 0, -6 = 3*r - 2*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159704*-63.\nAnswer: 10061352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -8 - -3 - (8 - 5 - 23).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) - (1 + sqrt(5))) + 0 + (sqrt(180)*1 + sqrt(5) + (sqrt(720) - (sqrt(720) + sqrt(720) + (sqrt(720) - (0 + sqrt(720))))) + sqrt(5))**2)*-1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 1. Let s(l) be the first derivative of -15*l**4\/4 - 20*l + 333. Let q(w) = w**3 - 16*w**2 + 15*w + 1. Let n be q(15). Give n*s(z) + 20*b(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-169)\/(-104) - (0 + 1\/(-2)). Which is the closest to 2\/7? (a) 0 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 1, e: 2, o: 6}. What is prob of sequence ko?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 362 or 725\/2?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjfffbqfjjaqfbjbqn. Give prob of picking 1 a and 3 j.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 1. Let m(h) = 8*h - 5. Let v(g) = 3*g - 1. Let q(l) = m(l) - 4*v(l). Give -3*q(b) + 4*u(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 4*p**2 - 2*p - 3. Let o be 63\/(-14)*4\/6. Let h be x(o). Let q be 14\/h*(9 - 0). Solve q = 4*r + 2*b, 0 = 5*r + b - 0*b - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 4*t**2 + 2*t + 4. Let l be h(-3). Let u(o) = o**3 - o**2 - 2. Let z be u(2). Suppose 5 = v, -5*d + l = -z*d - v. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in 7, -0.11, -1000?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25755558 divided by 6.\nAnswer: -4292593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/60 + q**4\/24 - q**3 + 9*q**2\/2 - 9*q. Let r(m) be the first derivative of g(m). Factor r(p).\nAnswer: (p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508 divided by -33674\nAnswer: 254\/16837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/60 + 19*g**5\/60 - 5*g**4\/12 + g**3\/6 + 5*g**2. Let a be v(9). What are the prime factors of ((-4)\/a - -1)*2 - -191?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 - 2368*p**2 - 4748*p - 2376 = 0. What is p?\nAnswer: -1, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -30. Let a = -17 + j. Solve -a*t - 26 = -10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(304) + 5)**2 - (sqrt(3648) - (sqrt(3648) + (sqrt(3648) - (sqrt(3648) + (2*sqrt(3648) - sqrt(3648)))) + sqrt(3648)))\/(-1*sqrt(192)).\nAnswer: 40*sqrt(19) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {l: 3, g: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2326680723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v**3 - v**2 + 4*v - 3. Let t(c) = -c**3. Let s(o) = -r(o) + 3*t(o). Let u be s(1). Solve -g - g = -u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146 by -250857.\nAnswer: 146\/250857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 divided by -40?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 3*s**4 - 17*s**4 + (2*s + 2*s - 5*s)*(s**2 + 2*s**3 - s**2).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-60)*3*44\/(-11)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poo. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 445902319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63259.13l to millilitres.\nAnswer: 63259130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -1330?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049078 to 7 decimal places.\nAnswer: 0.0000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4207936 to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10664*u**2 - 83*u + 545. Is r(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/34677280 and 71\/640?\nAnswer: 138709120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -9*n**5\/7 - 2915669*n**4\/7 - 314820755926*n**3\/7 - 11325825624024000*n**2\/7 + 416967261408000000*n\/7 + 93218688000000000\/7 = 0?\nAnswer: -108000, -2\/9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3556504 divided by 17.\nAnswer: 3556504\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/52326 and -149\/104652?\nAnswer: 104652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/65, -1.2, -5\/2, -5\/53 in decreasing order.\nAnswer: 4\/65, -5\/53, -1.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3551 + -3527. What is the highest common factor of 3352 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -1.77. Let t = w - 2.7. Is -1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1191.\nAnswer: 4\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(130)*-1*-4)\/(2*sqrt(1440)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a**2 - 161*a - 38. What is x(10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8978900 to the nearest integer?\nAnswer: 2996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.156 + -3.556. Which is the nearest to 1? (a) -2 (b) o (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*p**3 + 2*p - 3*p + 3*p + (2*p**2 + 5*p**2 - 5*p**2)*(-2*p + 0 + 0).\nAnswer: -67*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -21316*z - 12. Let g be q(-7). Suppose -3*m + g = -7*m. What is m rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3046 = -3*w - 3064 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 1805 + 10*i - 7*i - 1868.\nAnswer: -2*i - 3673","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1906 - -1943. Put -2, 6.1, q in descending order.\nAnswer: q, 6.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:40 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 = -4*d, 5*k = -d + 1 + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -1227, -1843?\nAnswer: -2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 93890 (base 15) to base 5\nAnswer: 104431220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 39566.\nAnswer: -2\/19783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t + 165. Suppose -t = -g - 30. Suppose -2*b - 138 = -5*p, -3*p = g*b - 4*b - 82. Solve 2*u - p = -5*m, 4*m + 2*u - 22 = -0*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 118*p**2 + 119*p - 69\/2*p**3 + 0. Find the first derivative of h(l) wrt l.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58515940.599513 + -58515914. Let u = b + -26.6. Round u to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -74 - 1. Suppose 5*n - p = -0*n. Suppose 2*l + l + n = 2*f, 0 = f + 4*l - 8. Which is smaller: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 21 + -3 + -22 + 15\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(sqrt(175) + (sqrt(175)*3 - sqrt(175) - sqrt(175)) - sqrt(175)) - (-2 + (-2 + sqrt(175))**2)) + 1).\nAnswer: -352 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - c**3 - 31*c + 436699 - 2*c**2 - 436699 as f*c**3 + d*c + r + g*c**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00318921621 rounded to 6 decimal places?\nAnswer: -0.003189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6, -9 in ascending order.\nAnswer: -11, -9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 - 10*n + 13. Let o be g(9). Let f = o + -21. Let z = f + 21. Solve -2*l = 5*t - z, 4*l + 23 - 5 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -735 + 3*x**2 + 356 + 379 + 14*x**4 + 6*x - x**3 in the form d*x**3 + o*x + p*x**4 + w + m*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1 (c) 229957 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from qmjhjqj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -55, -55, -77, -133?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -141*h**5\/5 + 187*h - 106. Differentiate p(o) wrt o.\nAnswer: -564*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79e74 - 1?\nAnswer: 79e73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -1\/5, 0.44, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.44, 0.01, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 24. Suppose -q*z + 634 = 178. Calculate the greatest common factor of z and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7242)\/54 - (24\/27 - 1). Let u = 666 + c. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15 = 5. Let b(c) be the first derivative of 3*c**2 + 64*c + 6076. Let r be b(m). Solve -w + 0*f + f = 3, -r*f = -2*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 18 = -l + 4*l, -3*p - 2*p - 21*l = -26*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*4\/100 - (-12)\/(-30). Put 7, k, 4 in ascending order.\nAnswer: k, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(y**2 - 26*y**2 - 4*y**2).\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + (sqrt(12) - (sqrt(432) + sqrt(432)*1))) - ((-5*sqrt(170)*-1 - sqrt(170))\/sqrt(10))**2.\nAnswer: -272 - sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = -6*u + 3*u. Let o = u - -142. What is the lowest common multiple of o and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - 2*(sqrt(153) - (-1*sqrt(153) - sqrt(153) - sqrt(153))))\/(sqrt(324)\/sqrt(4)).\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t\/t**(2\/21))\/t)*t)\/(t**5*t))**(-7\/2)\/((t\/(t*t**(-2\/3))*t)\/(t*t*t**(-1\/3)*t*t))**22 assuming t is positive.\nAnswer: t**(325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/11 and 71\/951.\nAnswer: 10461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 13 - 1. Solve -3*r - 4 = -b*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 - 5*f + 38585. Is r(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 616127 + 255*h**3 + 616127.\nAnswer: 255*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/18 and -107\/456.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0 - 1 + 1 - 379*k. Is p(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 23 + -27 - -35 - -25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2318646 (base 9) to base 12\nAnswer: -505106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.7. Let t(f) = f**3 + 5*f**2 - f - 7. Let i be t(-5). Let r = -0.3 + -0.7. What is the nearest to r in q, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 406?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:37 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + y = -7*p + 203, 2*p - 77 = y. Do p and 370\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11685\/123*(-3)\/30\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 26 = 5*p. Let h = -56 + 60. What is the smallest common multiple of p and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358817669 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 28*q**2 + 29*q**2 - 58*q**2 + 8*q. Suppose -t - 4*t + 43 = 2*u, 0 = 3*t + u - 25. Does 5 divide x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2. Let v(y) = -4*y**2 - 11*y. Let u(k) be the third derivative of k**5\/60 + k**4\/12 - 3*k**2. Let a(p) = -11*u(p) - 2*v(p). Determine i(a(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 2) + -6)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5182 - 5177. Solve 30 - 60 = -a*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 12*z**2 - 17*z**2 + 3*z**2. Let s(h) = 20*h. Let i = 52 + -49. Let o(v) = -19*v. Let q(c) = i*o(c) + 4*s(c). Give b(q(p)).\nAnswer: -529*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 + 27*u + 59. Calculate j(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 580162276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86645 - 1910633\/22. Let g = -202 - d. Let w = -48 + 49. Is w at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/7434980 and -33\/5204486.\nAnswer: 52044860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 25, 3*r + 42*c - 47*c = 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 < 672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144916 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1225)\/735 - ((-109470)\/9)\/2. What is the highest common factor of 40 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 65, 10, 4 in increasing order.\nAnswer: -5, 4, 10, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 4 (c) 3\/4 (d) 0.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94*h - 285*h - 221*h)*(-6 - 7 - 2) to the form t + a*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 13*m. Let x(j) = j**2 + j. Let n(d) = 2*o(d) + 22*x(d). Let t(f) = f. What is t(n(k))?\nAnswer: 20*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 2*d**2 - d - 1. Let m be y(2). Is 5 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -1011?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*((-2)\/(-6) + -1). Let m(x) = 6*x + 4. Let s(o) be the third derivative of 7*o**4\/24 + 5*o**3\/6 - 5*o**2. What is r*m(t) + 5*s(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 3*f = 8*d + 15844, 0 = -4*d + 9*f + 31700. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/8 + 381*i**4\/4 + 57423*i**3\/8 - 318099*i**2\/4 + 129582*i = 0.\nAnswer: -69, 0, 2, 8, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*n + 12, -n + 3*c + 10 + 6 = 0. Sort n, -2, 2.\nAnswer: -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-1 + -3)*-4. Let g be 12\/(-32)*(6 - 14) - -18. Calculate the highest common divisor of g and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40344 + -40351. Let l be -2 - ((-24)\/(-15))\/(-1). What is the third biggest value in -5\/3, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/26166 and -85\/98.\nAnswer: 26166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/2280 and 13\/2064630.\nAnswer: 156911880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.1618249 to 1 decimal place.\nAnswer: -113.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Suppose -2*j + r - 2*r + 3 = 0, 0 = j - r - 3. Let k(q) be the second derivative of 0*q**j + 0*q**3 + 2*q - 1\/4*q**4 + 0. Determine z(k(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5338326 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.634 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 0.1, 2\/11, 24, -0.3.\nAnswer: -0.3, 0.1, 0.12, 2\/11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202322.\nAnswer: 2, 101161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**6*w - 74455*k**5*w**3 + 2601*k**2 + 19*k*w**3 wrt k?\nAnswer: 120*k**3*w - 4467300*k**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10165*m**4 - 563*m**3*w + m*w + 2*m - 64419*w wrt m?\nAnswer: 121980*m**2 - 3378*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Suppose -2*h - 1 - 3 = -n*k, -2 = -4*k + h. What is the second derivative of -z**4 + k*z**4 + 0*z**4 - 4*z wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13.3. Let o = 100 - 110.2. Let i = o + 9.8. Which is the third smallest value? (a) h (b) i (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51a + 85a1?\nAnswer: 8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263876.\nAnswer: 2, 41, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581212 is divided by 262.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -279 + 269 - (5 + 0 - (-1 + 13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/(-4)*(-53)\/(-477).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-53 + 53 - 11*m).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b**2 + 72*b - 5*b**3 + 6*b + 85*b**2. Let i(v) = 4*v**3 - 93*v**2 - 80*v. Let w(l) = 3*i(l) + 2*q(l). What is the second derivative of w(f) wrt f?\nAnswer: 12*f - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 557444 by -129.\nAnswer: -557444\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*q**2 - 2 + 16*q**2 + 53*q**3 + 2 to f*q + r + a*q**2 + n*q**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -287*b + 1889. Calculate d(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63806771, -63806722, -63806687, -63806672, -63806683, -63806726, -63806807, -63806932?\n\"Answer: -f**3 - f**2 + 59*f - 63806828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/32)\/13*-4*7\/(-84)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-40)*(-10)\/6. What is the biggest value in -2, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2442*n**5 - 63426856*n**4\/5 + 247174169204*n**3\/15 - 54744586864*n**2\/5 + 9041990482*n\/5 + 53955272\/15 = 0.\nAnswer: -4\/2035, 1\/3, 2597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15368.8 * 0.07.\nAnswer: 1075.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 46724*w**3 - 48326*w**3 + 0*w**2.\nAnswer: -1602*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-24))\/(7\/57162) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + m - 5, -5 = k + 4*m - 3. Suppose k = h - 0*h. Suppose -h*q + 70 = 4*w - 0*w, -15 = -q + 2*w. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 0*h**2 - 1\/2*h**5 + 1\/2*h**4 + 0 + h**3.\nAnswer: -h**3*(h - 2)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107\/87 - 26\/29. Suppose 0 = -5*t + r - 4, -2*t - r + 8 = r. Let -q*i**5 + 2\/3*i**3 - 1\/3*i + t*i**4 + 0 + 0*i**2 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 2025?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*3*21\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 1560. Let u be (k\/(-45))\/((-4)\/30). Suppose -2*t + 9 = t, 2*m + 3*t = u. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oohh when four letters picked without replacement from ohwwoohw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(t + t + 0*t) + 0*t + 0*t - t + (0*t - 4*t - 3*t)*(2 + 3 - 1) to the form j*t + b and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - -634. Suppose 2*a + 86 = 5*a + j, 2*a = j + 64. Calculate the remainder when x is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 + 2*n**2 - n**2)*(-3 + 0 + 5) + 0*n**2 + 12*n**2 - 5*n**2 + 3*n**2 + 7*n**2 - n**2)*(-n + 3*n + 0*n) + 3*n**3 - 6*n**3 + n**3.\nAnswer: 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 77, 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -5 + 9 + 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 9 = -3*k, k + 4*m = 8. Solve r - 3 + k = 0, -2*h + r = -9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**2 - 7*x - 30. Let s be u(10). What are the prime factors of s\/6*(-120)\/(-50)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.1. Let l = -1575.6 - -1576. What is the closest to -1 in 2\/9, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**3 - 9*m**2 + 6*m + 102. What are the prime factors of q(8)?\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90822604*x**4 + 47177*x**2 - 4*x + 107?\nAnswer: -2179742496*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 - 3*m**2 + m + 2*m**2 + 5*m**2 - 13 + 21 - 3*m**2 as q*m**3 + g + f*m**2 + d*m and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.43 and 13178?\nAnswer: 5666.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2*b - 588 = 0. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 3. Let v be q(0). Let z(k) = -6*k + 4*k + k**2 - 2*k**2. Give z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 3) + 7\/7 + -1)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 38093993?\nAnswer: -4\/38093993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 2 q when four letters picked without replacement from {k: 1, s: 2, q: 5, c: 2, z: 2, e: 1}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24*3*(-261)\/(-36).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -3, -1, -9, -25, -35 in decreasing order.\nAnswer: -1, -2, -3, -9, -11, -25, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z + 1 = d, 0 = 5*z + 5. Let r = 30 + -25. Solve 5*c - 3*w - 25 = 0, d*w = c + 4*w - r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z**2 - 5*z + 4. Let j(l) = 946*l - 6*l**2 + 935*l + 1 - 1882*l. Calculate -11*j(b) + 2*k(b).\nAnswer: 4*b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*s = 138*s - 249660. What is the highest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - h - 39*h + h**3 + 48 - 48 to o*h**3 + r + y*h + j*h**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 2*d**4 + d**3 + (2 - 2 + 2*d)*(-d**3 - 2*d**3 + d**3) - 5*d**4 + 127 - 127)*(-7*d + 1 + 0*d + 2*d).\nAnswer: 55*d**5 - 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*5.15\nAnswer: -0.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10105 less than -10103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**26\/(n**(-1\/2)\/n**(-1))*((n*((n\/((n**5\/n)\/n)*n)\/n*n)\/n)\/((n\/n**4)\/n))\/(n**0*n**(-2\/5)) assuming n is positive.\nAnswer: n**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffafafmfnoffomfynffo. What is prob of picking 1 f, 1 o, and 1 a?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372084 divided by -3?\nAnswer: -124028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 + 508.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**4 + t**3 - t**2 + t. Let z(x) = -x**4 - 2*x**3 + 21*x**2 - 11*x - 3. Let w(d) = 2*y(d) + z(d). Find the second derivative of w(m) wrt m.\nAnswer: 12*m**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 110*a**3\/3 + 3*a**2 + 47. Let z(q) = -q**2. What is b(z(v))?\nAnswer: 110*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2904499299 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7*k + 140000. Round k to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 11 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 49. Let k be d(-25). Suppose 0*y + 3*y = 36. Let m = k - y. What is the lowest common multiple of 6 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -0.6, -402, 14, 5, -0.016?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = 4*c + 46, -20 = 5*c. Let d = -143 + 146. What is the highest common divisor of d and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 17. Let w(d) = -8*d + 81. Let q(n) = -3*n + 30. Let c(b) = 11*q(b) - 4*w(b). Determine 11*c(a) - 4*r(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 854*a**2 - 66974*a + 67830.\nAnswer: -2*(a - 1)*(a + 105)*(a + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 - -4 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -578583 - 0?\nAnswer: -578583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1500))\/sqrt(12).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799877 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 106*k + 105*k = -13, 0 = x - 3*k - 9. Let n(v) be the first derivative of 0*v + 0*v**2 - 2\/3*v**x + 12. Let u(a) = 4*a**2. Determine u(n(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/2 - 29*f**4 + 901*f**3\/2 - 1496*f**2 + 1754*f - 680 = 0. What is f?\nAnswer: 1, 2, 20, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-6))\/(2\/(-72)*6). Solve 0 = f + w, -u*w - 6 = 5*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3982 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**2. Let q(i) = -2*i**2. Let c(b) = 3*g(b) - 28*q(b). Let t(a) be the third derivative of 11*a**5\/30 + 2*a**2. Determine t(c(m)).\nAnswer: 352*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or -74?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2075.03 to the nearest 10.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y + i + 558, -4*y - 3*i = 1112. Let o = y - -284. Which is the third biggest value? (a) -0.08 (b) 0 (c) -1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78322733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 3:39 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -73999 times -60.7?\nAnswer: 4491739.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 + -3. Suppose 2*x + q + 0*q - 3 = 0, 4*x = -q + 7. Let b = -1.2 + -2.8. What is the nearest to x in 1, l, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Let d = n - 6. What are the prime factors of 4*d\/2*-5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7280960?\nAnswer: 2, 5, 61, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13376754, 13376755, 13376756, 13376757?\nAnswer: 13376758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3824779 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -0.7 (b) 0.4 (c) 0.213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5066, -40662, -137316, -325550, -635886, -1098846, -1744952, -2604726?\n\"Answer: -5087*j**3 - 7*j**2 + 34*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3626, 7257, 10888?\n\"Answer: 3631*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8799.12 - 8964. Round d to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 35872?\nAnswer: 143488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 - -2) - 2) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:56 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:08 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3736846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006783 rounded to five decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70626*p**3 + 3*p**2 + 1209858*p - 2.\nAnswer: -423756*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 6 + 5*q**2.\nAnswer: 5*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*5\/(-30)*-6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76242522 to the power of 1\/2, to the nearest integer?\nAnswer: 8732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -42.2, 2, -0.9 in decreasing order.\nAnswer: 103, 2, -0.9, -42.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.91, 0.2, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 27*q**5\/8 - 927270*q**4 + 254765577957*q**3\/4 - 42460620570*q**2 + 56614023387*q\/8 = 0?\nAnswer: 0, 1\/3, 137373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3465?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 12*c**2 - 16*c - 5. Let b be 75\/(-6) + ((-3)\/(-2))\/3. Is z(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -46 + (67 - 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 2. Let d be q(-2). Let b(r) = r**3 - 1 + d*r**3 - 5*r - r**2 - 4*r**2. Let p(f) = f**2 - 7*f + 6. Let h be p(7). Give b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(76)\/sqrt(4))**2 + 3).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -1831*j**2\/2 + 1371*j + 1737. Differentiate m(g) with respect to g.\nAnswer: -1831","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gie when three letters picked without replacement from {i: 1, g: 1, e: 9}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5740925 - -5741093.00166. Let g = -168 + r. What is g rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3593*v**2 + 1. Let w(i) = 5*i - 459. Let k(a) = 4*a - 306. Let y(n) = 3*k(n) - 2*w(n). Give y(d(u)).\nAnswer: 7186*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2427123 divided by 1\nAnswer: 2427123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.274 rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q**2. Let p(r) = 143*r**2. Let c(l) = 55*b(l) - 6*p(l). Let d(y) = -16*y. Give c(d(f)).\nAnswer: 5632*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 9*d - 2. What is the smallest common multiple of p(11) and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:33 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14867560 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6639 - 3870. Let x(z) = -19*z - r + 2769. Let o(w) = 2*w. What is x(o(u))?\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84759 - -84757. Let j = 3 - -2. Put f, -1\/112, -0.5, j in descending order.\nAnswer: j, -1\/112, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4aa2b0 (base 12) to base 10\nAnswer: -1220388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/125*15*(1*-3)\/3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*s + 65 - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174458 - 87245 - 5*z - 87213 + 169*z**2 + (z - 2*z - z)*(-2*z - 2*z + 6*z).\nAnswer: 165*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 13*q**7\/210 + q**5\/6 + 22*q**2. Find the third derivative of w(k) wrt k.\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3041 = -75*k + 4234. Let t = -118 - -171. What is the remainder when k is divided by t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174544647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4. Let o(k) = 3*k**2 - 12. Let u(s) = -s**2 + 11*s + 29. Let z be u(12). Let p(h) = z*t(h) - 6*o(h). Find the first derivative of p(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/30*((-10)\/(-80))\/(14\/(-24)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:42 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m**2 - 5*m - 20. Let g be b(-4). Let x(n) = -2*n**2 + 99*n - 107. What is the remainder when 71 is divided by x(g)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-6)\/(-7))\/1. Let v be (24\/(-12))\/((-1)\/2*(1 + -19)). Let q = -0.479 + -0.021. Which is the fourth biggest value? (a) h (b) 3 (c) v (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*10\/238*(-248)\/1860.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4659985.46 to the nearest one hundred thousand.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1251, -1606, -2197, -3024?\n\"Answer: -118*q**2 - q - 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 375a?\nAnswer: 375c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m - 36. Let h be 1\/(-3) + (-21)\/m. What is the derivative of 5 + h*j**2 - j**2 - 6*j**2 wrt j?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 7*j**4\/4 - 2*j**3 - 3*j**2 + 2*j + 522. Let s(m) = -20*m**3 + 17*m**2 + 17*m - 6. Give -6*s(w) - 17*y(w).\nAnswer: w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8*f\/(f**4\/f))**(-50))**(-2\/7) assuming f is positive.\nAnswer: f**(600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 5*o - 23 = 0, 0 = -5*m - 3*o - 19. Let l be (2 - (1552 + m)) + 2. Is l\/(-10) + (-4)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*-7 + 2. Let v = d - -8. What is the second derivative of -v*z**5 + 2*z**5 + z - 3*z wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1938, -7732, -17386, -30900?\n\"Answer: -1930*m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1816 divided by -2\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33*p + 110. Let r(b) = 17*b + 51. Calculate -3*k(z) + 7*r(z).\nAnswer: 20*z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:28 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000709579 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/27 and 59\/1215.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*m**3 - 31*m**3 - 17*m**3.\nAnswer: -150*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w + 3*w + 4*w**4 - 11 + 17 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 7. Suppose -j + 4*d = 7, -10*j = -6*j + 4*d - 12. Calculate o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 82 = -2*o + 5*l, 5*l - 41 = -2*o. Solve -o*q + h = 10, -4*q + 10*h - 6*h - 24 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -1\/2*n**2 - 1\/4*n**4 + 0 - 1\/20*n**5 - 2\/3*n**3 + 5*n. Calculate l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from fggyfyyyffyfgyfygyy.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -513?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxp when three letters picked without replacement from gpxxxwxwx.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. What is the nearest to 2\/5 in d, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -984034.43 to the nearest 10000.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 119236?\nAnswer: 119236","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Suppose -4 = 360*o - 358*o. Is 130 + (o - d) - (-10)\/(-5) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 2923778?\nAnswer: 2923779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w + 21. Let r be g(5). Let y(n) = n**2 + 4 - 2 - 3*n + 0 - 3*n**3. Let k be y(r). Let x(o) = -o**3 - 3*o**2 - 1. Determine x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -2, -26, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*o = 183*o + 5*r + 360, 5*r + 671 = -120*o + 4*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11765196 and 605796?\nAnswer: 223538724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 13*i + 14. Let h be t(12). List the prime factors of 0 + 19 + -2 + h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 8. Let b be a(9). Let s(g) = 800001*g**2 - 1. Let y be s(b). Let z be (y\/12)\/((-4)\/(-42)). Round z to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -40118898 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 4*a)*(3*a + 3*a - 5*a + (-1 - 1 - 1)*(-3*a + 3*a - a))*(0*a + 0*a + 3*a) to f + d*a**2 + k*a**3 + l*a and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.24589ml?\nAnswer: 0.05324589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.974 minutes in seconds?\nAnswer: 14998.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164003?\nAnswer: 7, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 + 9*s - 17. Let n be 3 - (-16)\/20*(-25)\/(-10). Let l be h(n). Solve 6 = -l*z - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-3 + 2)) + 0. Let d(v) = 3*v - 3 - 4*v - r*v. Let p be d(-2). Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + -16. Is i greater than or equal to -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-210)*166 - 6\/10. Let n(p) be the first derivative of 0*p + c*p**3 + 1\/14*p**4 + 1\/7*p**2 + 4. Determine d so that n(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {x: 4, z: 2, q: 3, g: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1502 (base 8) to base 7.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 1, 4, -19, -3 in descending order.\nAnswer: 12, 4, 2, 1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - 4*a = 1386, -2052 = 3*c - 3*a. Let p = c - -2087\/3. What is the common denominator of p and 5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-8) - 5)\/(5 + (-81)\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwxz when four letters picked without replacement from {r: 5, z: 2, w: 3, s: 1, e: 3, x: 6}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 2*b**2 + 1\/150*b**5 + 0*b + 0 + 1\/20*b**4 + 2\/15*b**3. Factor k(c).\nAnswer: 2*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**3 + 98. Let z(n) = n - n + 9*n**2. Give s(z(r)).\nAnswer: 243*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 94 - 22)*(3*c - 4*c + 2*c).\nAnswer: -115*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -18c3?\nAnswer: -18c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d - 5*d. Suppose d*k = k + 5*k. Suppose 6*i - 330 - 150 = k. Calculate the greatest common factor of 60 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*g + 15, -g + 2*g + 15 = -5*w. Solve -3*d = 5*t - 12, -5*d + 5*t = -g*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1632\/9)\/4 + 6\/9. Suppose 56 = 2*i + o. Suppose 4*g - 4 = 8. Solve 0 = g*z + 4*p - 6 + 19, i*p + 19 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/17)*l)\/((l\/(l\/((l\/((l**(1\/4)*l)\/l))\/l)))\/l))**(-2) assuming l is positive.\nAnswer: l**(-229\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 0. Solve 0*p - 5*p = 2*q - 5, j = -2*p - 3*q + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5792 and 2304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139178436 is divided by 34794608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*(155\/35 + (-15)\/3). Which is the closest to -1? (a) 1066 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = v - 14, 3*c + 50 = 3*v + 2*v. Let d = -3 - -9. Let x = d - c. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-2))\/(28260\/2512)*(-20)\/(-160).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6129, 2, -7 in increasing order.\nAnswer: -7, 1, 2, 6129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.2. Let k = -44 + 41. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27210336 and 11424.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 - 3*k + 1. Let q be i(3). Suppose 0 = -u + q + 4. Let m be (1\/(-2))\/(1\/(-2)). What is the greatest common factor of m and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, -4, -3 in decreasing order.\nAnswer: 7, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 88*z - 3. Let p(w) = 88*w - 3. Let c(m) = 2*a(m) - 3*p(m). Is c(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*s**2 + j*s - 2*j*u + 20*j - 231*s**2*u + s*u + 2*s - 111*u wrt s.\nAnswer: -2*j*s + j - 462*s*u + u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51212723 + -5?\nAnswer: 51212716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*l + 25, 3*d - 4 = l - 3. Suppose -6 = -y - 2*y. Suppose 0 = y*u - 8, u + 1 = p + 3. Which is the closest to 1? (a) d (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 64 = 5*i + 40, 5*k = -6*i + 63 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -2 (b) 0.8 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-4)\/12 - (-15)\/(-9)). Sort 48, 5, q in descending order.\nAnswer: 48, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**3 + 63*w**3 - 76*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/5 + 23*n**4 - 777*n**3\/5 + 141*n**2 + 620*n + 300 = 0 for n.\nAnswer: -1, -2\/3, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*j + h - 0, -3*j - 3*h = -9. Let v = 8 - j. Solve 7*n - 2*n = 4*l - v, -l + n + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2520 by 7.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 261.84572 * 19.\nAnswer: 4975.06868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -39*a**2 - 4*a + 1. Let i(c) = 5764*c. Give i(x(u)).\nAnswer: -224796*u**2 - 23056*u + 5764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170869 + -170870. Let s = -16 - -11. Which is the nearest to 2\/113? (a) f (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-4)*3\/(-9). Let z(l) = -3 - r - 7*l + 2 + 4. Let a(b) = 20*b + 2. Let u(d) = -5*a(d) - 14*z(d). Differentiate u(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.092 - -0.092. Let h = 1.7 - 2. What is the biggest value in -1\/7, c, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + 0 - 2) + 180 + -300 + 148?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1127461\/210462 + -1\/15033. Calculate the common denominator of 83\/16 and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*v - v - 664, b = 4*v - 140. Find the common denominator of 65\/8 and (30\/b)\/((-1)\/16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-104)\/13)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(0*c + 5*c + 2*c)*(-3*c + 3*c - 3*c**3).\nAnswer: -63*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 26*u**2 + 6*u + 137. Let l(b) = 6*b**2 + b + 3. What is 4*l(p) - r(p)?\nAnswer: -2*p**2 - 2*p - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 696, 1391, 2086, 2781, 3476, 4171?\n\"Answer: 695*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o + 1229 + 157 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**9\/504 - f**5\/20 - f**2 - 5. Let a(s) be the second derivative of w(s). What is the third derivative of a(n) wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. Suppose -t*g = -g - 5. Suppose -z + g*z - 172 = 0. 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 270247 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -347*o**3 + 3*o**2 - 3*o + 3. Let r(z) = -z**2 + z - 1. What is 2*p(l) + 6*r(l)?\nAnswer: -694*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28434 > 28433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18681 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -50 + 0*i + 26 + i + 28. Let t(s) = -s - 3. Calculate -5*j(b) - 8*t(b).\nAnswer: 3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -140, -468, -1104, -2150, -3708?\n\"Answer: -17*c**3 - c**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 56589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90442 is divided by 9005.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -31*h + 9*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-12)*4\/147. Let u = k - -53\/98. Let g = 5\/6 - u. Put 0, 1, g in increasing order.\nAnswer: 0, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + u + 149, 3*u + 2*u + 169 = 2*k. Let g be (-12)\/42 - k\/(-154). What is the second biggest value in g, -1\/4, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 1, n: 2, f: 1, d: 1, h: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -359, -35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert fe7e (base 16) to base 12.\nAnswer: 31852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + (-1143)\/(-45). Let i = w + -24. Is -6\/13 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -246*n - 264. Suppose 2*p = -22 + 12. Is 23 a factor of c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-177))\/(1204\/74648) + 1\/((-3)\/(-2)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 44 = -2*r - 4*d, -2*r + d - 25 = 0. What is the common denominator of 11\/r*(205\/(-25) + 4) and -99\/166?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from -7.12.\nAnswer: 21.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 44*m - 35*m. What is the units digit of (-552)\/(-115) + m\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/4 or -4\/91?\nAnswer: -4\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -2803.\nAnswer: -13\/2803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.4 + 0.4. Let v be (-8)\/4 - 0 - -9. Suppose -3*n = v + 2. What is the smallest value in n, 1\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234431\/351642 + -1\/117214. Let k = -3.95 + -0.05. Let a be (-2)\/5 + 112\/180. Put t, k, 1\/6, a in increasing order.\nAnswer: k, 1\/6, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 45*p**2 - p - 3. Suppose j + 96 = -j + k, 0 = -5*j - 3*k - 218. Let u = j - -44. Is t(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4 + 4*c**3 - c**2 - 6*c = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 + 2*u**5\/15 + u**4\/4 + 25*u**3\/6 + 12*u**2 - 1. Let g be w(9). Let q = -2 - 2. Sort q, -3, g in increasing order.\nAnswer: q, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617147*r + 617151*r - d + 31 = 0, 0 = r + 5*d - 4*d - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/7 + 6988*z\/7 + 6990\/7 = 0 for z.\nAnswer: -1, 3495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 137451\nAnswer: -8\/137451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.4 + -35. What is the nearest to 2\/3 in 10, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 divided by 5?\nAnswer: 448\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*w - 8 + 3)*(8*w - 11*w - 3*w + w + 0*w - 3*w + (2 + 2 - 2)*(3*w - 4*w - w) - 2*w + 3 - 3 - 3 - 2*w + 3).\nAnswer: -32*w**2 + 176*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73301505275 + 0.5?\nAnswer: 73301505275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/((-65)\/(-30))*1\/(-3). Let z = 17 - 7. Let t(g) = g - 9. Let p be t(z). Put p, -2, 5, k in decreasing order.\nAnswer: 5, k, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*1\/2)\/(1\/2). What is the nearest to 0 in 2\/9, 2, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*r, 58 = 4*k - 4*r - 34. Let f = k - -1. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-30)*-16*14\/616.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -533\/842?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115366, -115454, -115610, -115840, -116150?\n\"Answer: -v**3 - 28*v**2 + 3*v - 115340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-21)*6*2\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831812655?\nAnswer: 3, 5, 29, 1912213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -12. Suppose 0 = k*n + n - 90. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5608.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - 6. Suppose -c + 4*r = b*c, -3*c + 5*r - 10 = 0. Let s(w) = -w**2 + 6*w - 3. Calculate s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(7) + (sqrt(112) - sqrt(7)) + sqrt(7) - sqrt(7)) - sqrt(2)) + 4)**2.\nAnswer: -6*sqrt(2) + 137\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) 4 (c) 3\/8 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 - 8*g - 8. Let o be y(-1). Let a(r) = r + 8. What is a(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*n**2 - 8*n + 2*n**4 - n - 1948 + n**4 + 26*n - 18*n wrt n?\nAnswer: 36*n**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 + 170. Solve 0 = -l + 1 - b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109\/4974969 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7095127.\nAnswer: 13, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 5*z + 1. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (245 - 264)\/(19\/(-4)). Let c(o) = 2 + o**3 - 3 - 5*o**2 - o + 6. Calculate c(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110110010010 - 1011010111?\nAnswer: -101000001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1078\/8 - (-7)\/28. Suppose -25*a + 27*a - 74 = 0. Let q = p - a. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30215375*c - 1632 = -30215324*c for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (107524\/24 - 4). Let v = 4498 + j. Calculate the common denominator of 13\/8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243003 (base 8) to base 14\nAnswer: 225b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 72. Let u(g) = g - 24. What is 6*s(q) - 17*u(q)?\nAnswer: q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 2\/7, 0.4, 4 in ascending order.\nAnswer: -0.01, 2\/7, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 16*r + 29. Give g(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2035*q**5 - 162753*q**4 + 162753*q**4 + (0*q**3 + 4*q**3 - 2*q**3)*(0*q + 0*q + q**2).\nAnswer: 2037*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 1. Let y = -7 + n. Calculate the smallest common multiple of 22 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-96) + (-1222)\/(-16). Suppose 81*i = g*i + 25. Solve 0*z = -i*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8*r + 4615 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**3 + 11*n**2 - 132*n + 1294. What is the tens digit of a(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-40)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 44774?\nAnswer: 4477.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -265311\/50, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-51 - -46) + (1 - -79) + -8.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -2.98. Let i = -4 + p. Which is the biggest value? (a) i (b) 0 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 462*g**3 - g**2 + 13*g - 12. What is the least common multiple of 56 and v(1)?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51.2? (a) 4 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11736, -9868, -8000?\nAnswer: -6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112164?\nAnswer: 2, 3, 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g. Put 1, g, 5 in ascending order.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3212.8 - 3213. Which is the closest to -1? (a) t (b) -3 (c) -0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) - -3*sqrt(2000))\/(2*sqrt(90)) + -3*(0 + sqrt(392) + -1))**2.\nAnswer: -212*sqrt(2) + 22553\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**2 + 0 + 1\/42*u**7 + 0*u**5 + 0*u**6 + 0*u**3 - u - 1\/12*u**4. What is the third derivative of c(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.046, -11.6, 1 in descending order.\nAnswer: 1, 0.046, -11.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 917810, -3\/4, 0.15 in descending order.\nAnswer: 917810, 0.15, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 13*b + 765. Determine v(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - -82 - 70 - (-12 + 2 + -2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3559*b - 2792. Calculate the remainder when q(-5) is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 245\/(-140) - (-45)\/(-28)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) + 4978\/786.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-1 - 17)) + 1 - (51 + -47)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -31. Factor 0*z**2 + 9 + 2*z**n + 6*z - z**2.\nAnswer: (z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3784*p - 3791*p = -2468795. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose 0 = -3*y - 3*m + 84, 4*y + l*m = -y + 145. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 9*i + 3. Suppose -i*x = 7*x - 216. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22210201203 + 11?\nAnswer: 22210201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101020201 (base 3) in base 14?\nAnswer: 9c78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = -2*z + 84, 5*o - 75 = -5*z. Suppose 2*u + 42 = 138. What is the remainder when u is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -21001001001012112?\nAnswer: -21001001001012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**9*g**(1\/11))**(-47) assuming g is positive.\nAnswer: g**(4089\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1066.0001288 - 1066. What is x rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*m**2 + 15*m.\nAnswer: -m*(22*m - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t = -42*t - 176. Let g be t\/(-10) - (4\/10)\/1. Solve -7 = -3*k - 4*p, 5*k + 0*p - g*p - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/21 (b) 0.4 (c) 5 (d) 0.3 (e) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 69*t + 296 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 39*z + 340. Calculate h(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*u + 4 = 0, -2*r + 7*r + 5*u - 5 = 0. Let j be (173\/(-1))\/(2\/(r + 0)). Let z = -114 - j. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.6. Let d = -312.54 + 316. Let x = d - 0.46. Which is the smallest value? (a) -2\/17 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - s, 0*s = 2*s + 6. Suppose h + 85 = q*w, -2*h = -4*w + h + 68. Solve -w - 8 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/7 - 15*g**3\/7 - g**2\/7 + 15*g\/7.\nAnswer: g*(g - 15)*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50\/40*((-12)\/5)\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -82463 greater than -82462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*x**3 - 3\/5*x**4 + 0*x + 0 + 0*x**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 7. Suppose 4 = 2*f + y, x*f + 3*y + 1 = 7. Suppose -32 = -6*u + f*u. What is the remainder when 30 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 84 = -4*q - 3*f, -5*f = -q + 2. Let n = q + 14. Let a(l) = -l**3 - l**2 + 6*l + 3. What are the prime factors of a(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 27. Which is the nearest to v? (a) 1\/6 (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 36*l + 148. Let q be y(-34). Calculate the highest common factor of 192 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 b when four letters picked without replacement from txbbbtbbtxxxbxbxxb?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 129 = -69 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p - 579 + 544 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002111122201211000 - -2?\nAnswer: -2002111122201210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -835*b. Let a(j) = 3143*j. Give a(d(v)).\nAnswer: -2624405*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -5 + (251 - (203 - -50)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*k - 1\/6*k**3 - 3*k**2 = 0 for k.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*b = -16, 21*j - 24*j = 5*b - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -53.\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41544494 divided by -127\nAnswer: -327122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 + 3 = 0. Let g = -5 + l. Find the second derivative of -s**2 + 5*s**2 - 5*s**2 + g*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/(3\/(-719 + 5)). Let u = q + 123. Suppose u*v = -2*a - 3*a + 773, -2*a + 388 = 2*v. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -0.5. Let z = -4.4 - i. Let m = -4.6 - z. Which is the biggest value? (a) -2\/7 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2\/1621, 1592, -3\/8?\nAnswer: -2\/1621","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4138 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -597.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 + 17*c**3 + 14*c**3 - 44*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 54818, -0.02, -2\/5, 5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.86537 to 1 dp.\nAnswer: -520.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86876562*h - 97713585 wrt h?\nAnswer: 86876562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53370544 is divided by 92.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450846 and 12650?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10331 (base 6) to base 13.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-1*sqrt(2)*1).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -5*x + 100. Solve 3*t - 7*t = -5*w - x, -5*w - 5*t = -25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p - 14*p - 3*p**3 + 4 - 5*p**2 + 3*p. Let w be k(-5). Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6078 and 95988.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + -3.4. Let l = q - -1. Let w = 7 + -9. Put -2\/21, l, w in decreasing order.\nAnswer: -2\/21, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5848049.6 to the nearest 100.\nAnswer: 5848000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/4, -115, -47?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 2*k + 23 + 13*k**2)*((0 + 2 - 3)*(1 + 2 - 2)*(3*k - 3*k + 2*k) + 6 + 3*k - 6) to z + o*k + s*k**3 + h*k**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5. Let c(j) = j**2 + 8*j - 10. Let m be c(-10). Solve w = -s + 6*s - m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7022 + 7021.7. Which is the nearest to 0? (a) x (b) -1\/2 (c) -3\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f - 517 + 232 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6*(-1 + 1). Let i = t + 2. Suppose -i*j + j + 41 = 0. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 + 1501 = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 8303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9) - (-2112)\/216?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + -26?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/94608 and -113\/10?\nAnswer: 473040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**3 + 15*w**2 + 132*w + 6. What are the prime factors of u(-9)?\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12*t**2 + 17. Let v(d) = 2*d**2 + 3. Give -34*v(k) + 6*x(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 128857 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 0, 17, 54, 111, 188, 285?\n\"Answer: 10*i**2 - 13*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -80?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15726703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 14, j: 2, f: 1, c: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let f be ((63\/24 - 3)\/(5\/60))\/(-1). Let -f - 3\/2*k**l + 6*k = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*-1*12\/(-21). Suppose 4*s = -4, 4*r + l = 4*s + 8. Suppose 5*k - 5*x - 675 = r, -5*k - 166 = -x - 837. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-931504)\/13 - ((-6)\/(-21))\/((-117)\/63). Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/26*(-131)\/(168597\/1248)?\nAnswer: -80\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021220 + 200211?\nAnswer: 2222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17003, 16980, 16957?\n\"Answer: -23*k + 17026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177778129 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 33768?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -9 + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2 + 6 + -7). Let p be (7 + 2 + i)\/1. Let v(n) = 8*n - 18. Calculate the remainder when v(p) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 3881172*x - 1255291341132.\nAnswer: -3*(x - 646862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*r - 8, 3*r - 4*b - 6 = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, z: 3, d: 3, q: 6}. Give prob of picking 1 z and 1 a.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-4) - (-3)\/(-12). Suppose g*q + 5*z - 4*z = 25, -3*q + 2*z + 5 = 0. Suppose -42 = -4*y - q*r, y - 3*y + 4*r = -8. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u - 4 = 82*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1294, 2588, 3880, 5170, 6458, 7744?\nAnswer: 9028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 587759547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*y + 7*y. Let h be (y*12)\/(-6*(-6)\/264). Suppose -5*d = -d - h. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10901087 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 2, b: 1, s: 3, z: 1, i: 2}. Give prob of sequence sls.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 93 = -g - 127, 4*l - 12 = 0. Let j = -44 - g. Round j to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 62*z**4 + 516*z**3 - 432*z**2 - 12096*z + 20736 = 0.\nAnswer: -12, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 + 0 - 3)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 + 6. Let z be ((-54)\/24)\/(3\/8). Let t be j(z). Is (-18)\/4*(-44)\/t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 12. Let y be c(7). Let w be 1\/y - 120\/(-25). What is the second derivative of -4*h + 7*h + 11*h**w - 12*h**5 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = 4*y - 477. Calculate the remainder when 243 is divided by 26\/(-4)*(60 - y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 - 2*k**3 + k**3 - 2 + k**3 + 2 + (k - k**2 - k)*(3*k - 5*k - 2*k) + 0*k**2 + 0*k**2 + k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156 = 4*w - 4*d, -w - 7*d + 6*d + 297 = 0. Does 33 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -343 - -3101333?\nAnswer: 3100550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0619824 grams to kilograms.\nAnswer: 0.0000619824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2069 + 5?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005717244 rounded to 7 dps?\nAnswer: -0.0005717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.545655 grams?\nAnswer: 0.001545655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.12, 0.1, 346, 3, -1391?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -23*y. Suppose 0*d + 7*d + 49 = 0. Let o(w) = w**2 + 2*w. Let n(k) = 4*k**2 + 7*k. Let b(j) = d*o(j) + 2*n(j). Give b(v(c)).\nAnswer: 529*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2066997, 4133993, 6200989, 8267985?\nAnswer: 10334981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7362.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764283 divided by 11.\nAnswer: 764283\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12928297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l - 0*l + 48 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(a - a - a) + (4*a + 2 - 2)*(70 + 244 + 47).\nAnswer: 1443*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 26124.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (193*u - 18682 + 18682)*(-1 + 1 - u) to the form x*u + s + d*u**2 and give d.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1922)\/(-12) - (-37)\/(-222). Let s = -152 - -216. What is the greatest common factor of s and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12929 + -12893. Let o = 74 - -213. Calculate the remainder when o is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 11 = -3*z + 3, 8*l - z - 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:25 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(1\/2)))**(-3\/22)\/(((a\/(a*a**4\/a))\/a*a*a)\/(a*(a*a\/(a**4\/a))\/a)))**(-22))**42 assuming a is positive.\nAnswer: a**(-861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*h + 13 = 24, -3*l - h + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a + 13. Suppose -3*b - 1 = 2*d + 2, 0 = 4*d. Let f be (20\/(-25))\/((-1)\/(-5)). Put a, b, f in ascending order.\nAnswer: f, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-50)\/4*(-776)\/1940.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 19264?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 337253 greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose -14 = -a*c + 6. Let r = 1 - -3. Let o(s) = -7*s + 5. Let z(n) = 6*n - 4. What is c*z(x) + r*o(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -132047, -262769, -393491, -524213?\n\"Answer: -130722*m - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78013\/7 - -11191. Let a = -7227788 + 1366060666\/189. Let y = a - f. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/7 - ((-80)\/6)\/(93464\/10014).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*h + 26520 = 4*h - 70*h for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 42. Let b(x) = -x**3 - 10*x**2 + 12. Let q(c) = 2*c**3 + 21*c**2 + c - 25. Let f(u) = y*b(u) + 6*q(u). Let s be (-26)\/6 + (-4)\/6. Give f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x - 436 = 1076 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206183 is divided by 699.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/7 - 3)\/((7436\/182)\/(-11))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaafaaaaaffaa. What is prob of picking 1 a and 3 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z - 6. Let t(w) = -60*w + 17. Let b(j) = 17*n(j) + 6*t(j). Let l be (-24)\/2*2\/4. Let m be b(l). What is m rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*x**2 - 247*x**2 + 113*x**2 + 94*x**2.\nAnswer: -387*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -10) + 1 + -2*1. Suppose 1563 = t*a - 8*s + 3*s, -2*a - 2*s + 1528 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - z + 3. Suppose 0 = 2*w - 2, 2*w + 5 = 2*k + 3*w. Suppose p = -k*p. Let g be a(p). Solve 5*h + 10 = g*n, -5*n = h + 7 + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 + 13*q**2 - q - 1. What is the remainder when o(4) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.0332, 5660, -3, 1, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/144 and 103\/216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2624 and 738?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqw. Give prob of picking 1 q and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from sjjsjssssssssjsssjj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 7:00 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let p(r) = 11*r - 2*r + 7*r + 10*r. What is p(x(a))?\nAnswer: 52*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) - ((-1*sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(5) - sqrt(5))).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*j + k + 2, -2*k - 20 = -4*j. What is the second derivative of 2*a - j*a**3 + 2*a**3 + 0*a + 2*a**3 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*x**5 + 28*x + 85*x + 21*x**5 + 3*x**5 wrt x.\nAnswer: 660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, 1052.\nAnswer: 2, 31, 1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*h**4 + 169*h**6 - 103*h**2 + 5*h**4 - 170*h**6 wrt h?\nAnswer: -120*h**3 - 960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2691\/5 - 541. What is the common denominator of -55\/2 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 15 = -5*h, 1826*p + 21 = -4*h + 1821*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8223)\/18 + 2\/12. Let s = 6721\/15 + w. What is the common denominator of ((-26)\/(-65))\/((-1228)\/180 - -7) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -126? (a) 178 (b) -0.2 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-75)\/(-117))\/5)\/(((-13)\/(-12))\/((-20293)\/(-15610)))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in -8.5, 0, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qovvooqqv. What is prob of picking 3 o and 1 q?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2) - (-1 + sqrt(4)\/sqrt(2))) + -4 + (-2 + (sqrt(162) - -2*sqrt(162)) - sqrt(162)) + 1)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736070739.\nAnswer: 3, 245356913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -1136 - 796. Suppose r = -3*y + 727. What is the remainder when y is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 199. Determine r(98).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3\/5 (c) 1.9 (d) -1\/14 (e) 723\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4472 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8924, 35715, 80390, 142967, 223464, 321899, 438290?\n\"Answer: 3*k**3 + 8924*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24434057 to the nearest integer?\nAnswer: 4943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44177096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 37. Let b = -12 + t. Let a(r) = -r**3 + 2*r**2 + 3*r + 1. Determine a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232634 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nini when four letters picked without replacement from nnninii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114 - 349 - 56 - 76)*(-n**4 + 6*n**4 - 2*n**4) to the form j*n**2 + b*n**3 + v*n**4 + w + u*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4.2. Let z = 0.1 - r. Let c = z + 0.092. Round c to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22496501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(-11*s + 10*s + 14*s)*(-5*s + s + 3*s) + (-5*s + 4*s + 3*s)*(-2 - 3*s + 2) as z*s**2 + g*s + k and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 + 4*j - 17. Determine l(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 13 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148513560 to the power of 1\/3, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 6*c + 190. Let y be z(-12). Let w(u) = 8*u**2 + 41*u - 83. Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.3 take away 0.4?\nAnswer: 314.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from iuuiiiisaiuuiuuiioiu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6275 + 359 = -2*l, l + 4 = 0. Find the common denominator of -151\/48 and (-28)\/154 - w\/924.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 2*z. Suppose 2*i - z = -3*i. Suppose 0 = 4*p + i*s - 98, -5*s = -3*p - 0*s + 41. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 3*t + 2. Let h be u(-2). Solve h = -3*i + 4*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 8545512?\nAnswer: 8545510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, 1 c, and 1 x when four letters picked without replacement from cwxxdpfw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -703, -702?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71.75? (a) 1 (b) 1\/9 (c) -0.3 (d) -6\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/189)\/(50\/(-525))*(-6)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 21*j = 78 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121102212 (base 3) in base 15?\nAnswer: 95b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 19*o - 60 = 0. Solve -20 = -4*z, 0 = -0*k + k - 3*z + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -26?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.76311585905 less than 23.1?\nAnswer: 19.33688414095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 21 = -3*g, -5*g + 2*r = 4279 - 4319 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -404\/7?\nAnswer: -404\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 33\/9)\/((-12)\/198). Calculate the highest common divisor of 275 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, -20, 4, -4 in ascending order.\nAnswer: -27, -20, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:25 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**11*k*k**27\/k*(k\/(k**(-4\/23)\/k)*k)\/((k*(k\/((k\/k**(-14))\/k*k))\/k)\/k*k*k) assuming k is positive.\nAnswer: k**(1246\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*t - 289590 + 289623, 2*l = -t - 11 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301808, 301805, 301804, 301805, 301808, 301813, 301820?\nAnswer: 301829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3534354 + 236?\nAnswer: 3534623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -11202011?\nAnswer: -11202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*n + 57 = 0, 2*k = k - n + 19. Let t = k + -9. Let l = -2 - -30. What is the remainder when l is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -350*r**5 - r**4\/6 - 3*r**3\/2 - 87*r**2 + 13219*r. What is the second derivative of m(b) wrt b?\nAnswer: -42000*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 628*b + 623*b - 1253*b + 75*b**2 - 314 wrt b.\nAnswer: 150*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 31844*q - 2 = 3*w + 31839*q, -3*q = -w + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/22309878 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1299546 - 1299546 - 16*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 505. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 o when four letters picked without replacement from vvvvttotovtvvv?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*q = -208, -580 = -u - 4*u + 5*q. Suppose -108*b - 628 = -u*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 - n + 2. Let f be i(2). Solve f = -p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 967 - 787. What is the remainder when t is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34942705.72 to the nearest one thousand.\nAnswer: -34943000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (((-1 + sqrt(343))**2 - sqrt(343))*4 - sqrt(343)).\nAnswer: -91*sqrt(7) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 753229093 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 715 + -717 + (24 - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14707626.01 rounded to the nearest 10000?\nAnswer: -14710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 797539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 + -404. Let s = 23 + j. Let r = 119.00444 + s. What is r rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 137*z. Let i be n(2). Let v = -111 + i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73206 - 146433 + 73217 - 214*l**2 to the form r*l + c + m*l**2 and give m.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Suppose -2*p + 2 = 3*n, -n + j*p = -9 - 10. Let v(h) = 2*h - 6. What is the units digit of v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dd6b6d + -2?\nAnswer: -dd6b6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -16 + 146. Let l be -1*(2 + 0 + -6). Suppose -t + 45 = l*t. Calculate the remainder when g is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*c - 4*x, -2*c - 6*x = -3*x - 13. Let v(b) be the first derivative of -c*b + 0*b + 16 + 6*b + 6*b**3. Differentiate v(q) wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -56. Let g = 30 - x. Let y be (4\/8)\/(0 + -1). Which is the second smallest value? (a) 3\/5 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*m - 1)*(-128*m**2 - 15 - 20 + 126*m**2)*(-43 + 25 - 43) in the form v + d*m**3 + i*m + f*m**2 and give d.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25125 (base 6) in base 10?\nAnswer: 3725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6991 - 6840. What is the remainder when 363 is divided by g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*z + 2317 = 2241 + 1770 + 7315 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + -128?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a71289 (base 11) to base 6.\nAnswer: -100430135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 85. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**2*u**2 + 48*p**2*u*w**2 - p**2*u + 7*p*u**2*w + 2*p*w + 2*u**2*w + 2*u*w**2 wrt p?\nAnswer: -8*u**2 + 96*u*w**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23537+0.01\nAnswer: 23537.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9723041*o**2 + o + 1421963?\nAnswer: 19446082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a + 20. Let z be (-8)\/10 + (-8)\/(-10). Let h be y(z). Suppose -5*f + h = -80. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 1375 + 1374 - 2*j**2 + 6*j to the form z*j + c*j**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + 9*i)*(0*i + 64*i + 2*i).\nAnswer: 594*i**2 + 66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492883 - 492856.00044. Let f = r + -27. What is f rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12391 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 596*u. Let j(p) = -4*p**2. Give j(n(v)).\nAnswer: -1420864*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14541 is divided by 149.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**4 + 0*q**3 + 13\/2*q**2 - 12*q + 1\/2*q**5 + 0. Find the first derivative of h(g) wrt g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 5\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59009424 and 202134?\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -4, 6.759?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/140 + (-69)\/(-161)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115357.83 months in centuries?\nAnswer: 96.131525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2091 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.03723091 * 1\nAnswer: -0.03723091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 58.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/7))**(2\/7))**22)**(-41) assuming r is positive.\nAnswer: r**(-9020\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-7 - -32 - 39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o*o\/((((o*o**5)\/o)\/o)\/o)*o*o)\/(o**0\/o**(1\/5))*o\/(o*o**6\/o)*o**(-6)*(o\/o**(-2))\/o*o**0 assuming o is positive.\nAnswer: o**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 3*h**2 - 4*h - 2. Let m be z(-4). Let k be (m\/80)\/(18\/40). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 22. Let r = i + 92. Calculate the greatest common factor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/37, -3.3, 4, 1\/34 in descending order.\nAnswer: 4, 1\/34, -34\/37, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*k + 3, 4*h + 45 = k + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 - -72. Let h(b) be the first derivative of -b**2\/2 - 11*b + 2. Let x be h(a). Solve 4 = -x*o + 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88)\/99)\/4)\/(4760\/360)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/281, 0, 3\/7, 1, 4, 0.4 in ascending order.\nAnswer: -2\/281, 0, 0.4, 3\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 20 = -3*a. Suppose -g - 7 = -3*m, 3*m = 3*g + 1 - a. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -41. Is f\/((-2)\/(-6))*(-2962)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*n**5 + i*n**3 - 2*i*n**2 - 15*n**3 + 2*n**2 - 2*n wrt n.\nAnswer: 60*i*n**2 + 6*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 20\/2 + -5. Let j be (k + 19)\/(6\/12). Differentiate j + 82*t + 81*t - 31*t**4 - 163*t with respect to t.\nAnswer: -124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18467569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -24. Which is the nearest to -6? (a) -0.2 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**5\/25 - 27*s**4\/20 + 81*s**3\/5 - 729*s**2\/10 + 102. Find c such that l(c) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2022323946 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*t - 4*r, 27*r = 5*t + 28*r + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 818582\/1437711 - -1\/75669. Let f = s + 20639\/3762. What is the common denominator of 1\/3 + (-430)\/(-96) and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012107126 to seven decimal places.\nAnswer: -0.0001211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -33. Suppose 7 = h*i + 43. Let d(a) = -a**2 - 19*a - 29. Let v be d(i). Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 812301 and 13221495?\nAnswer: 621410265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 29 + 2604\/(-147)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 396*p**2 - 1564*p + 1740. Determine m(-392).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/17, 70\/73 in descending order.\nAnswer: 70\/73, 2\/13, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9.7553+112\nAnswer: 102.2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l. Let n(j) = 2704*j - 2. Give q(n(d)).\nAnswer: 27040*d - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b + 5470. Suppose y - 2*o = -0*o + b, -2*o = 4. What is y rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(63)*-2 - sqrt(7)) + -6*(-2 + sqrt(7)) + -4 + sqrt(343) + 2 + ((sqrt(343) - 2*sqrt(343))*-2)**2.\nAnswer: -6*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*-2*-5)\/sqrt(10))\/(sqrt(56)\/(1*sqrt(21)\/sqrt(3))).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 148. Calculate m(13).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v*v\/(v*v\/(v**(2\/5)*v*v*v))*v)**50 assuming v is positive.\nAnswer: v**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 271880*w - 2174912.\nAnswer: -2*(w + 8)*(w + 135932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -18*j + 6. What are the prime factors of (132 - j)*(-4 - 28\/(-6))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 116*m - 92. Is 5 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.68 + -6499631.403.\nAnswer: -6499647.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45752\/15831 + 2\/1759. Let n = -191 - -187. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13155434 + 2223?\nAnswer: -13153211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.4, 277, 6\/11 in ascending order.\nAnswer: 1\/8, 0.4, 6\/11, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 804833851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0 + 0*u**6 - 9\/112*u**8 + 39*u**2 + 1\/3*u**3 + 0*u + 15\/8*u**4 + 0*u**7 + 0*u**5. Find the second derivative of l(q) wrt q.\nAnswer: -540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44 + 16 + -10 + -13. Solve 3*v + 6 = 0, -45 = -2*o - v - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -486\/11?\nAnswer: -486\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 873411\/40 - 21837. What is the common denominator of l and (-6)\/2 + (21\/56 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 961*k**2 - 13*k - 12*k - 480*k**2 + 5 + 2 - 480*k**2 in the form j*k + a*k**2 + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*t + 3, -3*t = 4*n + 1 + 2. Suppose r - 13 = 5*h, 0*r - 2*r - h + 15 = n. Let k be -1 - 2\/(-2)*r. Solve 2*m - 3 = -y, m - k = 4*y + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Solve 5*x = l + 9, q*l - 2*x + 5*x - 11 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/486858 and 157\/4868580.\nAnswer: 4868580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-6*(-3)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Suppose -p + 2*p = 0. Let n be u(p). Let g(c) be the third derivative of c**4\/24 + 7*c**3\/6 + c**2. Calculate g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221717599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 379 - 97*f**3 + 96*f**3 - 2*f - 420 + 8*f**2. Calculate c(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 17*u - 17 - 11*u - 11*u.\nAnswer: -5*u - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/7 + 30*w**2\/7 + 109*w\/7 - 330\/7 = 0.\nAnswer: -5, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5)*2 + 0 + (-6*-1*sqrt(20))**2.\nAnswer: 2*sqrt(5) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:44 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3602, 14503, 32688, 58163, 90934, 131007, 178388?\n\"Answer: s**3 + 3636*s**2 - 14*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 846796523 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*l - 10, 3*l - 2*l + 4 = 2*l - 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 16. Let a be p(8). Find the second derivative of -9*k + 48*k**2 - 18*k**4 - a*k**2 wrt k.\nAnswer: -216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*o**2 - 43*o**2 + 5*o**3 - 43*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166476 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -976317, -1952628, -2928937, -3905244, -4881549?\n\"Answer: o**2 - 976314*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25914986, -25914983, -25914978, -25914971, -25914962, -25914951?\n\"Answer: y**2 - 25914987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27 of a day in seconds?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + 1. Suppose 3*q - j*m = -15, -8 = -q - q - 4*m. Let x = 5 - q. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 105*a. Let h(y) = -10*y**2 + 9. Let v(t) = -t**2 + 1. Let z(w) = 2*h(w) - 18*v(w). Give r(z(c)).\nAnswer: -210*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-399)\/(-24) - (-7)\/(-56))*-6. Let p = -95 - v. Solve -2*l + p = 2*f, -4*f + 0*l - 3*l = -6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 - 6*p. Let f(u) = -2*u**2 + u. Let n(r) = 6*f(r) + z(r). Let v(a) = 106685 - 106685 - 17*a. Calculate n(v(o)).\nAnswer: -578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*f + 519. Suppose -s + 3120 = -f. What is s rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3192 + 632 = 0. Calculate the highest common factor of 64 and i.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 6) to base 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -468, -907, -1322, -1713, -2080?\n\"Answer: 12*p**2 - 475*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 6061626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g - 14*g + 42*g - 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 3. Let h be 1 + (1 - 2) + 3. Suppose -h*k + 8 + 10 = 0. What is the least common multiple of k and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, b: 7}. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8*60\/(-30)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:49 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:25 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/20 + o**4\/4 + o**3\/2 + 3*o**2\/2 + o. Suppose 0 = 3*l - 0*l + 9. What is b(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x + 4. Let j be t(0). Suppose y - 5*l = 4*y - 5, -2*y + 4*l = j. Is y at most as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -468601, -937204, -1405807, -1874410, -2343013, -2811616?\n\"Answer: -468603*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -372*n + 366*n + 392982. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 100332?\nAnswer: 100231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -0.12443?\nAnswer: 0.17557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 54\/(-15))\/((-6)\/60). Suppose -d + o = -37 + 10, -i*o = -d + 39. Calculate the remainder when 249 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 173 = -4*u + 178, 5*l - 10 = 3*u. What is the nearest to -0.01 in 3, l, 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3 - 6353262*j**2 + 25413024*j - 25413016 = 0.\nAnswer: 2, 3176627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 455225 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 29*p**2 - 50*p**2 - 3*p**3 + 37*p**2 + p**3 + 10. Let q(i) = -i - 3. Calculate the smallest common multiple of v(8) and q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21ca2c (base 13) in base 9?\nAnswer: 1447313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -608845045783\/1998 + 304727241. Let r = 243\/37 + t. Calculate the common denominator of 65\/48 and r.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36655701\/5 or 7331140?\nAnswer: 7331140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6651417 divided by 2217139.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2752 + 3922. What is the highest common divisor of 90 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3257401 (base 8) to base 9.\nAnswer: -1575034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 5 - (-34)\/8. Which is the closest to 2\/3? (a) i (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3381? (a) 1\/3 (b) 3\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n - 16*n + 17*n. Let w(a) = -a. Determine b(w(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 82. Calculate the common denominator of 61\/8 and (590\/c + -1)\/(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 3*t**2 + 6438*t**3 + 2*t**2.\nAnswer: 6438*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31014, -62018, -93018, -124014, -155006, -185994?\nAnswer: -216978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -28. Solve -f*r + 13 = 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4621180 + -3119943. Let m = 10963812 + g. Let j = 25065049 - m. What is j rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12970.527 seconds in minutes?\nAnswer: 216.17545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1) + (-4 - 4). Let t = -54 - -39. Let u = 20 + t. What is the fourth biggest value in u, -2, i, -4\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 13*q**2 - 29*q - 57. Calculate the remainder when 941 is divided by z(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2571 + 1756. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -153, -203, -239?\n\"Answer: 7*w**2 - 85*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(299\/39) + -4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711, -708, -707, -708, -711, -716, -723?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 0)\/(-3) - -15. Suppose 4*c = 3*b + 9, 5*c - b - b = o. Suppose 0 = 3*k - z - 114 + 9, -c*k = -3*z - 99. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/4199, 3787, -0.6?\nAnswer: 3787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200303022 (base 4) in base 7?\nAnswer: 1066452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*t - 102, 4*z - t - 104 = -5*t. Let n be (12\/14)\/(22\/32494). Does 20 divide (-16)\/z + n\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -863227, -863226, -863223, -863218, -863211, -863202?\n\"Answer: r**2 - 2*r - 863226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - 0)\/10 - (-5328)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a - a)*(3 - 3 - 2*a**4) + 0*a**5 - a**5 + 0*a**5 + 0*a**5 - a**5 - a**5.\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -464, -1753, -3900, -6905?\n\"Answer: -429*o**2 - 2*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5 + 4*p + 12*p + 6*p - 21*p. Determine q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 5*a**2 + 2 + 2 + 3*a**2 + 0*a + 2*a**3. Let p(w) = -7*w**3 - 5*w**3 + 15*w**3 - 5*w**2 + 2*w**3 + 11 - 8*w. Give -11*k(o) + 4*p(o).\nAnswer: -2*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7868109 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13427*u - 13430*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + -5*1*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77)) - 1*sqrt(77)*-1)\/(sqrt(567) - (sqrt(567) + sqrt(567)*3*3 + sqrt(567))))**2.\nAnswer: 11\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5603 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 129015393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 193944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 40\/18*3 + (-6)\/9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 - 3*d + 2. Let u(o) = -o**2 + 5*o + 2. Let b be u(5). Let q be y(b). Let h(n) = -n - 5. Determine h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -6)\/(3\/(-2)). Suppose -119 = -3*r + 2*u, 0 = -0*u - u - a. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*z - 4*u, 3*z - 2*u = 23. Let m = -344 + 512. Suppose 0 = -5*k - 8 + m. Calculate the remainder when k is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (1 - (1 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1644, -6507, -14612, -25959, -40548?\n\"Answer: -1621*c**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 162. Let d(j) = -12*j**3 + 5*j**2 - 7*j - 6. Let b be d(-1). What is the greatest common divisor of b and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 7 - 5562\/252?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11004 + 11004. What is the nearest to -18 in -3, 0.3, m, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-6\/5)\/t*t)\/t)\/t*t)\/(t**(-2\/29)\/t)*(t**1*t*t)\/t*t\/t**(-1\/7))\/(((t**(-2)*t)\/t)**(-4\/29)\/(t**0)**(3\/34)) assuming t is positive.\nAnswer: t**(1762\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 14 - 30 = 0. Let b = z + -9. Find the third derivative of 5*u**5 + 3*u**b + u**5 - u**5 - u**2 wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -69. What is the derivative of 23*t**2 + 18*t**c + 4*t**2 + 14 + 10*t**2 wrt t?\nAnswer: 110*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 6. Let o be a(-5). What are the prime factors of 8\/o - (-5 - -3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 4. Let r(l) = -l**2 + 5*l + 4. Let b be r(5). Calculate the highest common divisor of b and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8657?\nAnswer: 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 - 4 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t - 8*t - 2 - t. Let q be g(-3). Solve -q*a - 3*p = 5, -6*a - 5*p = -a + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315282 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: What is the next term in -7, -38, -79, -136, -215, -322, -463?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h - 46. Let d be n(0). Let r be (31 - (1 - 1))\/((-2)\/(-4)). Let m = r + d. Calculate the remainder when 45 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10078*a**2 + 556*a + 1245*a - 10077*a**2 + 570*a.\nAnswer: a**2 + 2371*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:48 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.19 and -81525498.\nAnswer: -81525497.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/(-3))\/(6\/(-18)). Suppose -t = -4*n + 7. What is the lowest common multiple of n and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6261541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -49. What is the common denominator of (-20)\/56*(-3)\/((-15)\/83) and 3\/z*59 - -2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -925 + 5771*c**4 - 932*c**4 + 583 - 903 wrt c?\nAnswer: 19356*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*t**2 + 1542*t**2 + 4745*t**2 - 169*t**2 + 4688*t**2.\nAnswer: 11092*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 + 9*u + 11. Calculate d(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - 2*y + 3*y)*(y + y - y) + (-4 - 2*y + 4)*(-2*y - 2 + 2) - y + y + y**2 in the form f + i*y + c*y**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*-1)\/(-8)*-14. Let l(n) be the first derivative of n**4\/4 + 2*n**3 - 3*n**2 + 8*n - 1. What is the smallest common multiple of l(w) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.0705\nAnswer: -0.3525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/10)\/(4\/10))\/((-4)\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o. Is (0 + 5)*(o - -13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 5*j - 4. Let k(c) = c**2 + 2*c + 2. Let g = 35 + -40. What is g*k(b) - 2*a(b)?\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -29004, 3, 12\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 10 = 2*h, 3 = -3*h + 2*h + d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3640929570?\nAnswer: 2, 3, 5, 61, 683, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 3*z + 7. Let i(t) = 2*t**2 + 2*t + 7. Determine 2*h(b) - 3*i(b).\nAnswer: -2*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344240570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*4*(sqrt(88)\/(-4*sqrt(200)) + sqrt(110)\/((sqrt(250)*2 - sqrt(250)) + sqrt(250))))**2.\nAnswer: -1188\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000517518884 rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2207647643 - -2.6207646303. Let t = -2.4 + q. Round t to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 2, g: 1, e: 1}. What is prob of sequence rrcg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -53246550 (base 8) in base 12?\nAnswer: -39787a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -510.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = 1. Let t be q\/((18\/(-4))\/3). Suppose -27 = -3*z + 5*w, 4*z = t*w + 26 - 4. Solve 0 = -z*r + 3*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.64, -0.2, 0, -1, -0.066, -0.5?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282744 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 21*g + 762 + 8*g - 7*g + 11*g.\nAnswer: -7*g + 762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*b - 225 = 6*b, 3*b = 4*s - 180. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f + 4 = -52*f. Let o(t) = -2*t**3 - 2*t**2 + 2. Let v(s) = 3*s**3 + s**2 + s - 3. Let y(w) = 4*o(w) + 3*v(w). Give y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -1\/6*y**3 + 0 - 1\/24*y**4 + y**2 + 0*y. Calculate the smallest common multiple of s(-5) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.02 + -0.02. Let r = -3.92 - -5.92. Suppose -32 = 3*o + z - 5*z, o + z = 1. Which is the second biggest value? (a) o (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -475\/7 - -68. What is the closest to 0.1 in 1\/9, r, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwh when three letters picked without replacement from zbzzwwh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/2 (b) -24 (c) 39 (d) -3\/2 (e) 2755 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(180) + -1)*2 - (-3*(-4 + sqrt(5)) + sqrt(45)\/sqrt(36)).\nAnswer: -15 + 29*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (630\/81)\/(-10) - (-3)\/3. Let t = -0.511 - -0.311. What is the nearest to 5 in 0.5, 3, t, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - 1.09. Let l = -3 + 2. Are y and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3.3?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3*d**2 - d - 64903534 + 64904585 to z*d**2 + v*d + u and give u.\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/748167 and -95\/9294?\nAnswer: 1496334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -29. Let b = 64 - i. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/88*(-8)\/12)\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 32, -0.03, 1 in ascending order.\nAnswer: -1, -0.4, -0.03, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from ipsxsku?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - -3.94. Let c = -2.1 + 2.1223. Let o = 0.4223 - c. Put -1\/6, h, o, -4\/7 in ascending order.\nAnswer: -4\/7, -1\/6, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 - i. Let r be k(2). Suppose 3*g - 4 = g. What is the second derivative of 3*u**2 + u - u**g - u**r wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4257009 litres to millilitres.\nAnswer: 425.7009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m. Let j = 9361 + -9358. Let w(b) be the second derivative of 0 + 0*b**2 - 33*b + 1\/3*b**j. Give w(x(k)).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*c = 2, -3*h + 5*c + 43 = c. What is the highest common divisor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l + t = 2, -3*t = -6. Suppose f - k - 4 = l, -14 = -3*f + 3*k - 2*k. Solve 16 = -f*o - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 + 6*j - 9*j**3 + 4*j**3.\nAnswer: 14*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8128*d - 8129*d + 0*f + 4*f + 11 = 0, 18*d = -4*f + 122 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**7\/420 + 3*d**6\/80 + d**5\/10 - 5*d**4\/12 + 6*d**2 - 12. Factor r(i).\nAnswer: -i*(i - 10)*(i - 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**6\/720 + p**4\/24 + 25*p**3\/6 - 5*p**2. Let a(t) be the second derivative of s(t). Let j(f) = -5*f. Give j(a(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*g - 9. What is the units digit of -25*(15\/g + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3 + k**2 + k**2 - k**2 + 0*k**2. Let l be c(0). Let p(x) = 2*x - 3. Determine p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6790, 54257, 183094, 433987, 847622?\n\"Answer: 6781*i**3 - i**2 + 3*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1139.93 and 516503436.\nAnswer: 516504575.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -752120 - -3?\nAnswer: -752115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718972 divided by 4.\nAnswer: -179743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose -g - 4 = -a*g. Let s(t) = -t**3 - 15*t**2 - 27*t - 11. Let x be s(-13). Solve -4*d + g*p = 10, x*d + p = d - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 6*w - 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 338890.\nAnswer: -1\/67778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236186467 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 133\/28 + (-3)\/(-12). Solve -t*z - 25 = 0, 3*z - 1 = -2*j + 2*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 348259 - 233108. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*q**2 + 3*n**3*q + 2*n**2*q**2 - 52*n**2*q wrt n.\nAnswer: 12*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4367 + -4291. Which is the biggest value? (a) z (b) 0.2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -576 - -571. Which is the nearest to 0? (a) o (b) 64 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(2*(sqrt(9) + (sqrt(45)\/sqrt(5) - sqrt(9)))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let r(f) = -1033329544*f. Give r(w(q)).\nAnswer: -1033329544*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -65*z**3 + 46*z**2. Let p(w) = -130*w**3 + 91*w**2. Let i(y) = -5*c(y) + 3*p(y). Find the third derivative of i(t) wrt t.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281650 = -13*p + 5*o + 281796, 2*o - 64 = -5*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*((-1452)\/(-96))\/(-121)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -130, -31, 134, 365?\n\"Answer: 33*p**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-61)\/(-96) - 2 - (57\/2)\/(-19) and -83\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.167 + 0.167. Let a = -2.8 + 1.8. Is a < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -765 + 2 + -2 - 6. Is h*(-3 - 48\/(-18)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -11. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 747, 3034, 6847, 12186, 19051?\n\"Answer: 763*s**2 - 2*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.1 and 737.\nAnswer: -1547.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6316 and 0.3.\nAnswer: -6315.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -42. Let d(b) = -b**2 - 10*b - 7. Let f be d(-9). What is the lowest common multiple of o and (-3)\/f*(-56)\/21?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u - 86*u + 404*u + 353*u.\nAnswer: 613*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2256 and 11\/1504.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(4\/(-1)))\/(21\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435741 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + -5 + 12 - 6 - -12) + -33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 8) to base 10\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -41*n + 54. What is the hundreds digit of a(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 5. Let j be c(-7). Suppose -8*a = -7*a - 18. Calculate the greatest common factor of j and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4077 = 4*u - 1215. Is 101 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -6, 17, 74, 177?\n\"Answer: 2*u**3 - u**2 - 10*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 + 3 = 0. Let o = w - 1. What is the units digit of o*(-1)\/(-1) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20461205.\nAnswer: 5, 359, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 1. Suppose 0 = -g + v. What is the second derivative of -7*j**2 + 4*j**g - j**2 - 6*j wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003317*(60*(-26)\/(-117) - 13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soossoloossloo. Give prob of sequence oss.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(125)*-3 - sqrt(125)) + sqrt(125) + -3)*-5)**2 - (-2*3*sqrt(125) + 5 + -4*sqrt(125)).\nAnswer: -12700*sqrt(5) + 903345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*w**6 - w**4 - 130*w**2.\nAnswer: 10320*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 349670, 349663, 349656, 349649, 349642, 349635?\n\"Answer: -7*z + 349677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*q - 7*z + 4*z, -z = -5*q + 22. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:08 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -1 + (6 - -2). Suppose -13*o = -v*o - 6. Solve -a = -2*a + o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + -44. Let l = 107 + m. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4259 + -4264. What is the closest to 1 in p, 2, 2\/25, 14?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f - 2. Let v(s) = -90*s**3 - 15*s**2 - 15*s - 30. What is 45*q(d) - 3*v(d)?\nAnswer: 270*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - 9*m + 3. Let a(d) = -6*d**2 + 10*d - 4. Let x(y) = 4*a(y) + 5*n(y). Let s be (-8)\/4*2\/(-1). Give x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*h = -202*h + 300*h + 388*h + 4624 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epeelmeuemeueueueeue. Give prob of sequence lmep.\nAnswer: 11\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8.8 times 35\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + 4*-3*sqrt(245)))**2.\nAnswer: 1270080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1481 + -1485. Is a at most -115\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 973 - 675. Let k = o + -299.71. Round k to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a + 440002 = 5*o, 0 = -o + a + 87999. What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -467 - -518.1. Let d = i + -215.1. Which is smaller: 0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-44))\/1)\/((-3)\/(-2))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 29, 52, 81, 116, 157?\n\"Answer: 3*z**2 + 8*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228.73 - -238.7. Let n = w + -10. What is n rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.7181870716 and -0.4.\nAnswer: 10.3181870716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 11 = -17. Suppose u - v*y = -6012, -u = -0*y - y + 6003. Round u to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 92. Let o be x(10). Is 6732 - (o\/6 - 80\/60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195\/716 - 4\/179. Let o(c) = c**2 + 3*c - 4. Let z be o(-3). What is the second smallest value in k, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -49. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -200, -279, -368, -467?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/15 + (-2)\/(-10). Suppose -w + 4 + 11 = a. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*f = 109, f - 68 = -q - q. Let n = -233937 + 234015. What is the remainder when n is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2809.08 to the nearest integer.\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-666)\/144 + (16\/24 - (-50)\/(-48)). What is the nearest to 1 in 3\/2, v, 1\/5, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z - 114. Let f(k) = -5*k + 111. Give -5*f(v) - 4*n(v).\nAnswer: -3*v - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 154, 521, 1232, 2401?\n\"Answer: 19*b**3 + b**2 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20355574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -36*g. Let l be o(-3). Suppose 0 = -4*n, 4*m - 2*n - l = m. Calculate the remainder when m\/(-8)*(-8)\/3 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtttfwtiiiwy. What is prob of picking 1 g, 1 y, and 1 i?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/23870 and -39\/7645.\nAnswer: 3317930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -5*m**6\/6 + 7*m**5 - 5*m**4 - 20*m**3 - 1498. Solve z(f) = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 164 = -25*r + 3*m, r - 5*m - 108 = 0. Calculate the remainder when 706 is divided by r.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088419398 to the nearest integer?\nAnswer: 32991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*((-180)\/33 + 6) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/22*7095\/250260\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*(y**(2\/9)*y)\/y*y*(y*y**0\/y)**(2\/51))\/(y*y**5*y*y*y*y*y**(-2\/13))**(1\/42) assuming y is positive.\nAnswer: y**(-3286\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfxz when four letters picked without replacement from wxmsffzxxsmmssssxfwf?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 9 + -9 + 7 + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002868425 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 845*y**2 + 6 - 1718*y**3 - 2 - 1826*y**2 wrt y?\nAnswer: -10308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1568 and 201628?\nAnswer: 11291168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8990 = 4*c - 8978 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, and 2 j when four letters picked without replacement from {q: 6, j: 7, u: 6}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793623751 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5*d - 65. Suppose 9*l + 48 = -51. Calculate the least common multiple of p(l) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192675120 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75096 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 7*d**4\/12 + 10*d**2 + 13*d. Differentiate n(w) wrt w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l + 288. Let i be n(-17). What is the highest common factor of 60 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 150*r - 1410. Let v be x(11). What is the highest common divisor of v and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:09 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/7 - 3*x**2\/7 - 3*x\/7 + 3\/7.\nAnswer: 3*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(7\/(-126)). Let r be ((-4)\/h)\/((-2)\/48). Let q = 9 - 7. Calculate the highest common divisor of q and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3 - 381\/3. Let i be 5\/((-20)\/b) - 2. What is the highest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {t: 1, g: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -18. Is 1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**5 + 22031*p**4 - 8815280*p**3 + 115767675*p**2 + 170235000*p + 45630000 = 0 for p.\nAnswer: -1, -5\/14, 15, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 10100011010111010110?\nAnswer: 10100011010111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3810653 and 3681.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by -4*(483\/(-28) + -2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192790 is divided by 5621?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 3, i: 3}. What is prob of picking 3 h and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/7)\/r*r*r\/(r\/(r**(-10)*r))*(r**21*r)\/r**3 assuming r is positive.\nAnswer: r**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 5, 4, 3 in descending order.\nAnswer: 6, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, -3.17, 2\/11, -7\/80, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 6*h**2 - 6*h + 4. Calculate the remainder when 40 is divided by v(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4 - 3 - 4 + 3 + 11*a**4 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.5 - 12. Suppose 3*k - 5*y - 15 = 0, 2 + 7 = -4*k - 3*y. Sort k, 3, m in descending order.\nAnswer: 3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 8*i**2 + 11*i. Calculate the least common multiple of 1428 and o(9).\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 133023044 (base 5) in base 15?\nAnswer: d4869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90739 is divided by 375.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -98, -130, -162, -194?\n\"Answer: -32*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**2 - 3. Suppose 4*p - 1173 = -5*d, -p + 3*p - 554 = 4*d. Let a = 284 - p. Let j(g) = -11*g**2 + 5. Calculate a*j(i) - 5*t(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2405 and 20830519.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:15 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7*v - 57770 = -4*v, 28876 = 2*k + 3*v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. What is the third derivative of -w**2 + 2 + o*w**5 - 5*w**5 - 2 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 19*m - 13. Let i be u(20). Let h(d) = d**2 - 5*d - 12. Let w be h(i). Suppose -2 = a - w*y, 2*y = a + y. Solve a*c - 7*c - 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-628)\/(-2669) + 936\/68.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/7*(-4)\/(-3)*387\/(-6).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 9570?\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338082 by 3.\nAnswer: -112694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/7683226 and 15\/1363153.\nAnswer: 84515486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 109*l - 3. Let y be t(0). Let h = 0.9 + -0.5. Which is the second biggest value? (a) y (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51084 and 21879?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54526471?\nAnswer: 54526471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286183, -286178, -286169, -286156?\n\"Answer: 2*r**2 - r - 286184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117*x**4 + 102*x**3 - 79664*x**2.\nAnswer: -2808*x + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h + 15. Let b(u) = u**2 - u. Let a(y) = -b(y) + j(y). Let n be a(12). What is the closest to -2 in -0.1, -5, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*s - 39 - 65 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.1. Let o be (3\/(-6))\/((-10)\/4). Which is the second biggest value? (a) o (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 64. Let c = 24 - v. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 + 3*a**4 + (-19*a - 6769 + 6769)*(2*a**3 - 3*a**3 + 2*a**3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 229 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 31 + 6. Let k = w - 0. Differentiate -k + 1 - g + 3 wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -35*b + 1. Let c(m) = m**2. Determine c(x(n)).\nAnswer: 1225*n**2 - 70*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3 + 8*n**2 + 8*n - 5183. Calculate k(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124144 - -0.1?\nAnswer: -124143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 at least as big as -1983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/13 + (-462)\/39. Let y be (20 + 1)*(-8)\/a. Let p = y + -10. What is the least common multiple of 1 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1668816*l - 1668821*l + 2*l**2 - 9 + 3. Calculate u(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31997 and 147?\nAnswer: 95991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26275*s**3 - 2*s**2 - 23113.\nAnswer: -78825*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574656.\nAnswer: 2, 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 100001110010001001101?\nAnswer: -100001110010001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:58 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 12*w**3 - 10*w**3 + 5*w**3.\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -323243*z**4\/4 + 161620*z**3 + 3*z**2 = 0. Calculate z.\nAnswer: -6\/323243, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 4*t**2 - 7*t**2)*(-2*t + t - t)*(1 - 2 + 3).\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 11*a**3\/2 - 1981*a**2\/2 + 44640*a - 4050 = 0.\nAnswer: 1\/11, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/((-1)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/3 - v. Let w(x) be the third derivative of 5*x**4\/24 - 8*x**2. Determine k(w(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-186)\/341)\/((-6)\/44).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 32, 37, 42?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:49 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459, -1326, -2603, -4290, -6387?\nAnswer: -8894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -11*r + 7*r - 12, -3*r + z = 7. Let o(t) = t**3 + 4*t**2 - 5*t - 1. Let q be o(-5). Is q smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -12. Suppose a - 779984 = -r*a. Suppose 0*b + 4*u + 156016 = -4*b, 5*b - u = -a. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54373 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1750?\nAnswer: 1750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = -p - 14, -4*p - 2 = 2*n. Let c(s) = s**2 - 7*s + 5. Give c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:54 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.022 + -0.813. Let l = 0.165 - a. Let h = 11 + -7. What is the smallest value in -0.3, l, h, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20933 divided by 11.\nAnswer: -1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*x = -x - 11, -4*u - 3*x = -5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l + 22. What is the tens digit of y(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*j + 380*j - 81*j)*(-j**2 + 2*j**3 + j**2) - 2*j**4 - 7 + 7 to v*j**4 + z*j**2 + k*j + g + r*j**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h. Let n(s) = -7*s**2. Give n(b(k)).\nAnswer: -448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(352)*-4)*1)\/(sqrt(2592) + (-3*sqrt(2592) - sqrt(2592) - sqrt(2592)))*-5.\nAnswer: 85*sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i. Let z(h) = 5*h. Let j(v) = -2*l(v) - 3*z(v). Let t(b) = b**2 - 4*b**2 + 0*b**2. Give t(j(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/5 + 2384*g**4\/5 + 828881*g**3\/5 - 4237646*g**2\/5 - 2354352*g = 0. Calculate g.\nAnswer: -1960, -429, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + b**3 - 15*b**2 + 23*b - 10 = 0 for b.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5508088?\nAnswer: 2, 688511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let s = -67 + 72. Let m(h) = 13*h - 3*h + s*h**2 - 10*h. What is p(m(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 25. Let f(m) = -22*m + 259. Determine -f(v) + 11*j(v).\nAnswer: 11*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/80 in -1, 16, -4, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 5699 and 5696 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184679 and 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*r**2 - 592*d**3 + 304*d*r**4 wrt r.\nAnswer: 4*d**3*r + 1216*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1631184 by 11994.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + 6 + (-2 - (-1 + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iigg when four letters picked without replacement from {g: 5, y: 1, i: 2, e: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, 11, 7, -2, -3, 3 in descending order.\nAnswer: 33, 11, 7, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 332003 (base 4) to base 14\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46678 - 1?\nAnswer: 46677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50494\/15 - -3368. Let i = 4\/3 - f. Let a(w) = w**3 + 4*w**2 + 6*w + 14. Let c be a(-3). Sort -3\/8, c, i.\nAnswer: i, -3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1204?\nAnswer: 1\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - -4) + (-4 - -1). Suppose 0 = 16*i - y*i - 30. What is the derivative of -9 + 3*c**2 - i*c**2 + 4*c**2 wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*w - 15, 3*q + 16*w = 17*w - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2126221443 to the nearest integer?\nAnswer: 46111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 68. Suppose 2*i - x*z = 12, i + 4*z = -3*i + 24. Let h(c) = 14*c - 67. Let f be h(i). Solve 4*v + f - 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 13*n. Let k(s) = 2*s - 1. Let r be k(7). Let b be f(r). Suppose 4*m - 5*x - 1122 = 0, m - 288 = 5*x - b*x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6659 or -6660?\nAnswer: -6659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 182, 9\/4, 5, -45, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, s: 5, l: 8}. Give prob of picking 1 s and 2 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 2:19 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.703 - 2.703. Sort 2\/3, -1\/2, -4\/5, c, 0.01 in descending order.\nAnswer: c, 2\/3, 0.01, -1\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/6808 and ((-1239)\/210 + 11)*1\/2.\nAnswer: 34040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/4*(-8)\/(-6). Suppose -4*n = -4*w - 16, -j + 4 = -3*w - 3*n. Which is smaller: w or -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*p*x**4 - 6*p*x**3 + 1587*p*x wrt x?\nAnswer: 564*p*x**2 - 36*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/10 - 4291*y**2\/2 - 1023578*y\/5 - 202570 = 0 for y.\nAnswer: -94, -1, 21550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Suppose -10*m + 7*m + 52 = 4*g, 4*m + 3*g = 60. Suppose 0 = -10*f + 4*f + m. What is k(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/((-39618)\/(-8928)*(-8)\/2)\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272962 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*2\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729.7 rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -71580504.\nAnswer: -14316100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 901.4273 and 2.5?\nAnswer: 2253.56825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*b + 7, 0 = 3*i + 5*b + 1 - 32. Let o be 162\/27 - (i - -4). Solve 2*w + o = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1295*z - 559*z - 641*z - 754*z - 1 to i + v*z and give v.\nAnswer: -3249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 56460806.\nAnswer: -56460806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 73403?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1621011.00698 and 0.\nAnswer: 1621011.00698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, -3, 1748954, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 19*l - 14. Let z be w(-7). Which is greater: -2\/193 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2017 (base 13) to base 7\nAnswer: -15604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + 642?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -18. Suppose 0 = l + f*l - 2*q - 62, -l - q = -24. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -75. Let r = q + 44. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 1, -3, 1749 in increasing order.\nAnswer: -47, -3, 1, 1749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -755*i + 759*i + 28, -2*i = 14. Which is greater: s or 6\/125?\nAnswer: 6\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 57*x - 7646. Calculate f(134).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 279 - 1957\/7. Let o = 16 - 12. Put u, 2\/7, o in decreasing order.\nAnswer: o, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 7*p**2 - 13*p**2 + 0*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.99\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 109*f + 1005*f.\nAnswer: 1114*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 255 - 1781\/7. Let v(c) = -c**3 - 6*c**2 - 9*c - 6. Let m be v(-4). What is the smallest value in 4, m, g, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47\/220 + -2\/55. Let j = -3 + 2.8. Let f = j - -0.1. Which is the closest to z? (a) f (b) -1 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-67)\/(-2) - 1\/2. Let s = 48 - m. Is s\/2 - 4\/8 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6668, 2, 0, 3194 in ascending order.\nAnswer: 0, 2, 3194, 6668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/20*70\/7. Let m be (-95)\/p*(-24)\/(-20). Which is bigger: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -14, 0, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5326 times 199?\nAnswer: 105.9874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**4 - 20685*n**3 + 5683275*n**2 - 404415875*n = 0.\nAnswer: 0, 145, 3847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1461 - 735 - 15971*l - 726.\nAnswer: -15971*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.96 + 0.24. Let s = 0.3 - o. Are 0.2 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**2*w**3 + 328*s**2 - 3*w**3 - 143 wrt s.\nAnswer: -2*s*w**3 + 656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 7*r + 4*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2 + 3 - 3)*(-2*w - w + w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 28, -0.2, 3 in descending order.\nAnswer: 28, 3, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444791611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:10 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 19 - 15)*(-3046 + 3046 + 1938*f - 66*f).\nAnswer: -33696*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239692 is divided by 15979.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.5, 0.1, 2, 2.574?\nAnswer: 2.574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105\/(-1150) - 7874\/(-1270)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by -65\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6*s - 3176*r**4*s - 6*r**2 - 1011*r*s - 2*r wrt r?\nAnswer: 120*r**3*s - 76224*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 11. Let p(x) = x - 5. Let u(y) = -5*p(y) - 2*z(y). Calculate u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18915 = 5*a + 5*q, -11309 = -8*a + 5*a + 5*q. Suppose 23*y - 224 = a. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from rifqqrissqssrrfqs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 = -15. Let a(p) = -p**3 + 8*p**2 + 2*p - 10. Let n be a(r). Calculate the highest common divisor of 42 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -169. Suppose -11 = -d - 2*f, 0*f = 3*d + f - 8. Let h be 12\/(-42)*d*-1. Sort n, 0.3, h in decreasing order.\nAnswer: 0.3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 45*c**2 - 24*c - 3175. Let a(j) = 47*j**2 - 29*j - 3174. Let p(s) = -5*a(s) + 6*u(s). Differentiate p(z) wrt z.\nAnswer: 70*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w**3 - 4*w**2 - w + 2. Let x be n(-2). Suppose -5*m = -484 - x. Let z = -74 + m. Calculate the remainder when 113 is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100132122 (base 4) to base 3.\nAnswer: -10102120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -258 (base 15) to base 3.\nAnswer: -201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901476?\nAnswer: 2, 3, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4425 + 278003100?\nAnswer: 277998675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 19. Let h = -68 + 75. Let q be u(h). Solve -10 + q = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 7*b**4\/24 + b**3\/6 - b**2 - b. Let p(y) be the first derivative of x(y). Calculate p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18229 + 18232. Solve -x*g - 13 = -l, 14*g = -3*l + 11*g + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4194304\/5 - 768\/5*c**4 - 2\/5*c**5 + 98304\/5*c - 4193536\/5*c**2 - 98302\/5*c**3 = 0. Calculate c.\nAnswer: -128, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4002*c**3 - 737*c + 4772*c - 4001*c**3 as t*c**2 + a*c + k + w*c**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659201 is divided by 657384?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10916*h + 5402 wrt h.\nAnswer: 10916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2248*0.1.\nAnswer: 224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446122687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 12. Suppose 21*w - 24 = 18*w. Let v be a(w). What is the third derivative of -15*h**v - 38*h**2 + 42*h**2 - 18*h**4 wrt h?\nAnswer: -792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -8 - 10) + (3 + -5 - 1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 12:30 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -196*f. Let k(m) = 4*m**2. Determine a(k(i)).\nAnswer: -784*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-65))\/((552\/240)\/(((-40)\/(-10))\/24)).\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -315*h. Let i(u) = -35*u - 1. Determine i(r(p)).\nAnswer: 11025*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, r: 3, e: 12}. What is prob of picking 2 e and 2 y?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.13 to zero decimal places.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -601 or -603?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -432 - -228. Let j = -1116 - -826. Let i = a - j. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -481 - -5773\/12. What is the biggest value in i, 2\/3, -5, -126?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 + 13*j**2\/2 + 23*j\/2 + 6 = 0.\nAnswer: -4, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 + 44*f + 72 = 0. Calculate f.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1015 - -1017. Solve -3*c + 9 = -3*g, 0*c - p*c = 4*g - 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*(v\/v**(18\/13))\/v*v)**(-44) assuming v is positive.\nAnswer: v**(-1496\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.936 - 0.064. Let i = 34.6 + v. Which is the second smallest value? (a) i (b) -5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5485 - 11*u**3 - 5237 + 10722.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n**2 - 5*n. Let i(w) = -2*w**2 + 3*w. Calculate -g(x) - 5*i(x).\nAnswer: -x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32983.25 millilitres in litres?\nAnswer: 32.98325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yiylyiiyii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01727 + -0.08273. Let i = -0.7 + 0.4. What is the nearest to -1\/3 in -5\/6, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.2 (b) 0.5 (c) 0.1 (d) -2037660 (e) -0.1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 0.5 (c) -0.5 (d) 5 (e) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*w**3 - 71*w + 71*w - 8 wrt w?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8605, 34555, 77853, 138499, 216493?\nAnswer: 311835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 21*u**3 - u - 838. Let z(n) = -n + 2. Let x(p) = -4*p + 7. Let r(c) = -2*x(c) + 7*z(c). Determine r(m(v)).\nAnswer: 126*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 63*x - 64*x + 27, 139 = 5*l + 3*x. Calculate the remainder when 126 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90359087.\nAnswer: 7, 13, 141851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 0*p - 17\/60*p**5 - 3*p**2. Let k(t) be the second derivative of -t**3\/3 + t + 148. Calculate h(k(o)).\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddadaxdaaaddd. What is prob of sequence ddx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -12*p**2 + p + 2. Let q(s) = 47*s**2 - 4*s - 9. Calculate 18*n(l) + 4*q(l).\nAnswer: -28*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 293198 and 2232?\nAnswer: 10555128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40459190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**3 - 2529*g**2 + 710649*g - 66564123 = 0.\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/18740452 and 77\/24.\nAnswer: 112442712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-2)*(13 + -69). Calculate the highest common factor of 112 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/4 - 2*q**3 + 13*q**2\/2 - 18*q + 6125. Determine l(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -13. Let n = -18 - -18. Sort -4, n, -5, g in ascending order.\nAnswer: -5, -4, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n + 6*n - 11*n)*(-1 - 5 + 3)*(8 + 2*n - 8).\nAnswer: 198*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1330204 (base 5) to base 13\nAnswer: -c346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 1. Suppose 0 = -7*y + 19*y - 1476. Let q(g) = 1 + 247*g - 121*g - y*g. What is -6*a(c) - 5*q(c)?\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 622*a + 627*a - 59 + 623*a + 625*a - 2503*a in the form j + g*a and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70)\/(-112) - 76737189\/(-312)) + 2\/(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1389.6 + 1390. What is the smallest value in r, -0.8, -5, 3.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose -p - n*p + 2*z = -170, -4*z - 124 = -2*p. Let y = 82 - p. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2753 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63565.383648 from -0.6.\nAnswer: 63564.783648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v + 65*v = 28. Suppose 5*p - 2*p - 5*l = -17, v*p - 5*l = -18. Is p smaller than 4\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 110 - 6*a + 107 + 4*a. Let q(v) = -12 - 10*v + 17 + 11. What is 3*q(d) + 16*y(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 225\/(-10)*(-4 + 18\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + 2 + (-48 - (2 - 17 - 1))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100111010011001111 (base 2) to base 13.\nAnswer: -2722c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2095177 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + 7*p + 5. Let g be z(7). Let a be 0 - (-10 + 7)*3\/9. Let h = g + a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*w - 7*w - 5*w**3 - 6*w wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = i - 7, -10*z + 14*z = -4*i + 24. Which is the nearest to -64? (a) -0.3 (b) 1\/6 (c) z (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -4*z - 1193. Is (0 - z) + -9 + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.1, 1\/4, -1 in ascending order.\nAnswer: -1, 0.1, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -35*g**5 - 5335*g**4 - 142355*g**3 - 1110505*g**2 + 1402390*g + 32795840 = 0.\nAnswer: -121, -14, -11, 32\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21643721, 43287445, 64931169, 86574893?\nAnswer: 108218617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*s - 38, -5*t - s + 95 = 2*s. Suppose -2*d + t = 2*d. Which is the closest to d? (a) 0.5 (b) 3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3011 - -0.01687.\nAnswer: -3010.98313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viffviigvv. What is prob of sequence ffi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29551326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 0*f + 0*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(210)*-4)\/(2*sqrt(90)))\/((sqrt(3) - (-1*sqrt(24))\/sqrt(8) - sqrt(300)*-2)*-3).\nAnswer: -2*sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 5*i - 2. Let q be (-3 - -6)\/((-2)\/(-4)). Calculate g(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/11898 and 70\/27.\nAnswer: 35694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -14\/1067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t + 3. Let y be j(0). Let i(f) = -619*f + 3 + 4 + 307*f + 308*f + 1 - 6. Let x(g) = -2 + 0 - 4*g + g + 4. What is y*x(k) - 2*i(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 414140293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/5 - 5*h**3\/6 + 5*h**2\/2 - 10*h. Let w(j) = -12*j**3 - 16*j + 16. Give -16*l(x) + 5*w(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64615284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/13 (b) 1 (c) -2\/72383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -21. Let w = 1457568 + -1457554. Which is the smallest value? (a) -0.1 (b) m (c) w (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-37*q - 296*q - 326*q - 194*q - 87*q) - 4*q - 5*q - q.\nAnswer: 1870*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -29462237.\nAnswer: -29462236.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56727*f**2 - 28368*f**2 - 28379*f**2 - 4)*(-2*f - f - 2*f) to x*f**3 + s + u*f**2 + o*f and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22273 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 342*f - 54372. Calculate j(159).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -57890132.4 to the nearest 10000.\nAnswer: -57890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -4 (c) 0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6397 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 5 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1856635 by 5.\nAnswer: -371327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-2))\/(2 + -1). Let g be ((-10)\/6 - -2)*x. Factor -16 - 8*r + g*r**2 + 0 - r**2.\nAnswer: -(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8 - 0)\/(96*(-113)\/289280).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 19. Let d = 14 + o. Differentiate -3*u**4 + 1 - 2*u**4 + d*u**4 - 2 with respect to u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 298\/(-12) + 2\/4 and 3\/27*(-24)\/(-392)*7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65760487 or 328802437\/5?\nAnswer: 328802437\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(168)\/sqrt(3) - 2*sqrt(224))*2)\/(sqrt(32)*4 + (sqrt(24)*3)\/sqrt(3)))**2.\nAnswer: 2800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -40 (c) 0.3 (d) 2\/7 (e) -122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.12121 plus 3?\nAnswer: 6.12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 15. Suppose 53 = 2*u + o, 4*u + 5*o - 76 = 9*o. Suppose 0*a = 4*a - u. What is the tens digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11221024 - -10?\nAnswer: -11221014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/3, -0.2, -5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232154 + -16?\nAnswer: 232135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7615 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 50 + 12)*(3*a**2 + 0*a**2 - 5*a**2) + 3 - 2 + 1 + 6*a**2)*(5 - 2 + 2*a - 4) as m*a + d*a**3 + n*a**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.571 + -18732.384?\nAnswer: -18430.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 607182 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -5)*3)**2 - (sqrt(931) + 1).\nAnswer: -97*sqrt(19) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1312517 rounded to 4 decimal places?\nAnswer: 0.1313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/9590 and 51\/4795?\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 2\/11, 73.05, 3, 0.2, -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 44. Suppose -3*n + 10 = 2*u, -5*n + 4*u + 9 + 15 = 0. What is the least common multiple of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 1\/356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -83. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - 8b1?\nAnswer: -88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417.586 rounded to the nearest ten?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9267, 37055, 83369, 148209, 231575?\n\"Answer: 9263*n**2 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/2)\/(-11))\/((-2)\/(-1)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*s = -12, -f + 5*s - s = -17. Suppose 0 = p + 7 - f. Let i(y) = -y**2 - 7*y + 7. What are the prime factors of i(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q - 26 = 72*q. Which is the closest to -1? (a) -0.2 (b) 1.3 (c) -0.079 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-4)\/((-632)\/(-633)))\/((-2360)\/(-9440)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16 and -81\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -382 + 746. Let y = -219 + z. Calculate the remainder when y is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1537*s - 3175. Let j be o(-2). What is the closest to -3 in 5, j, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 14. Suppose -4*b = -5*z + 13, -4*z - 7*b = -3*b - y. Suppose 2*r + 370 = 4*r + c, 5*c = z*r - 955. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 3*i**3 - 3*i**3 + (2 + i**3 - 2)*(16 - 16 + 13*i) - 6*i**4 - i**3 + i**3.\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/93*(-12)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11)*6 - (sqrt(704) - sqrt(704)*2))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -10, 18, 68, 146, 258?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + o - 3483, -7*p = -6*p + 5*o - 687. What are the prime factors of p?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-1)*((-112)\/(-16))\/7)\/(-5))\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2055\/2 in 2\/3, -6\/29, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 151 in ascending order.\nAnswer: -2, -1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 2*d - 8. Determine p(-7).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4388290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p**2 + 7*p**2 + 7*p**2 - 3*p**4 - 2 + 5*p**2 + 2*p**6 - 9*p**2 wrt p.\nAnswer: 240*p**3 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*l - 10 - 14 = 0, l = -2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 2385?\nAnswer: 238500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 77 + 603 - 65 - 461.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -96\/11 (b) 4\/19 (c) -4\/9 (d) 3\/2 (e) -5 (f) 6\/7 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = 3*y, s + 4*y = 9 - 0. What is the lowest common multiple of s and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q - 2*q**2 + 3 - 37*q + 11*q. Let f be g(-21). Solve -7 - 8 = f*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6839 + -6839. What is the nearest to 3 in -10, 2\/11, -2, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/72)\/(-100*(-15)\/(-540))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2134 = -206*f + 1394 - 3792. Let y(z) = -z**2 - z + 1. Let p(c) = -c**3 - 11*c**2 - 13*c + 11. Calculate f*y(n) + 2*p(n).\nAnswer: -2*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 0.1 (c) -10 (d) 1 (e) -21.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - 10.85. Let c = -18 - u. Suppose -5*t = 2*h + 10 - 26, t - 8 = 2*h. What is the third biggest value in h, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1 - 2 - x - 5*x. Suppose l + 0*t - 4*t + 11 = 0, -2*l - t - 4 = 0. Give m(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1859 - 1855. Let y be x*((-90)\/20)\/(-9). Factor -y*c**2 - 1\/2*c + 3\/2.\nAnswer: -(c + 1)*(4*c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - -189)\/13 - 13. Suppose -q - p - 6 = -3*p, -5*p = 5. Let n be (-1)\/4 - 2\/q. Put -4, n, d in decreasing order.\nAnswer: d, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 50 - -1 - (2274 - 2283)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:59 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -789 divided by -43\nAnswer: 789\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10772*m*v*z**2 - 9*m*z - 3*m + v*z**2 + 453*z**2 wrt v.\nAnswer: -10772*m*z**2 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/1264260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8619960000 to the nearest one million.\nAnswer: 8620000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 12 - (9 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*d - 822 + 2962 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 732734.\nAnswer: -5\/732734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/v*v*v**15\/v*(v*v**(-6))\/(v*v*(v**(-18)\/v*v)\/v*v*v*v*v))**3 assuming v is positive.\nAnswer: v**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 605 = -175. Let s = -20 - z. What is the remainder when s is divided by 21 + (1 - (-1 - 0))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 283*b - 11144. Give u(-35).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231367831?\nAnswer: 231367831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 - 7*g + 33. Give f(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.421 * -0.1.\nAnswer: -0.0421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 - 2*z**2.\nAnswer: -2*z**2*(z + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from xyxxxxyxxx.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-25))\/(1\/(-5)). Let r be 0 + (1 - 7) - q. Sort 9, r, 1 in descending order.\nAnswer: 9, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (184\/10)\/((5 - 1)\/20).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110, -221, -332, -443?\n\"Answer: -111*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9137\/19 + -481. Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 359.46, -4?\nAnswer: 359.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 80. Suppose n*z + 2 = 12*z. What is the third derivative of -31*b**4 - 13*b**5 + 31*b**4 - 24*b**z wrt b?\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 3*r - 2*r**2 - 12 + 4 + 4*r**2 + 0*r. What is z(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 3\/2 (c) -2\/21 (d) -0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0, -4 in decreasing order.\nAnswer: 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 21*b**2 + 128*b - 42. Give v(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*g = 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1992)\/(-1743) - 124\/(-14). Solve 3*x - a = -4*q, 1 = -5*q - x + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1272?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n**(-1)*n*n)\/n)\/(n**(3\/2)\/n))\/(n\/n**(1\/4))**(22\/9))\/((n\/n**(-1))**(-16\/7)*(n\/n**(-1\/4))**(-2\/97)) assuming n is positive.\nAnswer: n**(17371\/4074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5251862?\nAnswer: 2, 7, 11, 67, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -37. Suppose 59*q - 50*q + 9 = s. Let w be 3\/(-12) + (-34)\/56. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let l(u) = -12. Let b(q) = 2*j(q) + l(q). Let a be b(10). Let m = 69 + a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-20)\/(-75))\/(-4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 453.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, -4, 199.\nAnswer: -190, -4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4900*f**5 + 1372280*f**4 + 97025184*f**3 + 73211328*f**2 - 8446286016*f - 34096256640 = 0. What is f?\nAnswer: -4866\/35, -6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 0, -4*p = 2*i - 5*p - 23. Let j be (-5)\/7 + (-4)\/i. Which is greater: j or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 48240.4598.\nAnswer: -48234.4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.846409 - 0.8364. Let x = y - 0.01. What is x rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1093508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2979\/26811)\/((-4)\/80).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:05 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - c**2 - 2*c + 2. Let q be r(1). Let b be 4\/4 + (q - -14). Suppose 0 = -4*a + b, 6 = -0*l - 2*l + 3*a. Solve 0 = -0*z - 3*z - l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -342.0707757 to two dps.\nAnswer: -342.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.658 + -6.\nAnswer: -8.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 8 - 5)*(-3*x - x + 8*x).\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.93 + 0.07. Let m(g) = 2*g**2 - 4. Let x be (0 - (-4 - 7\/(-2)))*0. Let l be m(x). What is the second smallest value in 1\/5, f, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 254 = -2*h, -5*q - 2*h = 309 + 22. Let x(n) = n**3 - n - 13. Let c be x(0). What is the units digit of c\/q + (-84)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13 + 152823\/(-6644) - (-11 - -1) and -103\/20.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, e: 10, r: 3, k: 2, g: 1}. What is prob of sequence kg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2528 and 270.\nAnswer: 341280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -5 + (0 + 0 - -1) + -4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*v + 8*v + 3*f, 0 = 4*f + 8. Suppose 4*a - 1267 = 9*r - 12*r, 959 = 3*a + v*r. Which is greater: 312 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let v = l + 0. Let w(q) = 10*q. List the prime factors of w(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llz when three letters picked without replacement from {z: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 8 = 2*h, -3*f + 6*h - 4*h = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0 - -48) + -65.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 11477 (c) 0.026 (d) -0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123340533 by 3.\nAnswer: 41113511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = -36. Sort 5, 2, k.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -106 + k**2 + 3*k - 6*k + 93. Let f be m(-3). Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 3*p - 23, 3*t + 2*t + 2*p - 27 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1903\/7 - 271. What is the third biggest value in 6, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 - 6*i**2 - 11*i + 6. Let l(z) be the second derivative of z**5\/10 + z**4\/6 + 2*z**3\/3 - z**2 - 29*z - 2. Calculate 11*l(r) + 4*x(r).\nAnswer: 2*r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3989 - -3992. Let b be 2\/((-3)\/((-30)\/4)). Suppose 0 = -0*m - 4*m + 36. Solve b*i + 12 - 37 = u*t, -2*i + m = -t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022 (base 4) to base 9\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 703483\/243 + -2895. Do x and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from dvdwdvdwd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(1 + 2) + (-4 - -10). Suppose w*i = -4*i. Put 5, i, -11 in descending order.\nAnswer: 5, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -374.3611873?\nAnswer: -373.3611873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 65*q - 1655363. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*j + 101 = -51 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + 17*v**2 + 16*v**2)*(2*v**2 + 2*v**2 + 2*v**2) as m + p*v + f*v**3 + i*v**2 + d*v**4 and give d.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/72*3\/(-5))\/((-3)\/28).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601662 divided by 2019.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-18) - 4992\/(-1728).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + 10 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9*v - 22 = -5*n, 2*v - 10 = -2*n. Sort -3, 36, -8, 4, n in descending order.\nAnswer: 36, 4, n, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 + 1244*z**2\/5 - 18978*z\/5 + 7704 = 0.\nAnswer: 12\/5, 15, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 51 - 1\/4*u**4 + 1\/2*u**2 + 0*u**3 - 22*u. Let s be (1 - -1) + -4 - -2. Determine k(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/12)\/5)\/((-1)\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 9*y**2 + y - 2. Let i be f(9). Let x(j) = j**3 + 2*j**2 + j. Let u(r) = -r**3 - 10*r**2 - 10*r - 2. Let z(q) = u(q) + 2*x(q). Determine z(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/(-6) + 1. Is -17 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = -5*v, -3*l - 48*v = -54*v - 9. Is 1\/166 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 201318811.6?\nAnswer: 201318812.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 148 + 322 = 0. Is t*(-1 - 0)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.026 + -0.026. Let u = -8.1 - 38.9. Let d = -48 - u. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and 665.21.\nAnswer: -226.1714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/11 (b) 1\/2 (c) -0.59 (d) 1\/7 (e) -2\/9 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271405342 by -10438667.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + 43 + (-24 - -54 - -5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39367\/7 + 5638. What is the third biggest value in w, 2\/7, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 plus 5631?\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45119 + -10106681\/224. Calculate the common denominator of 17\/8 and l.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -4*w - 12*f, -74457*w = -74459*w + 5*f + 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 - 8*r**3 + 7*r**2)*(5*r**2 - 17 + 17) + (-4*r**4 + 2*r**4 + r**4)*(3*r + 2*r - 6*r) - 2*r**5 + 15 - 15.\nAnswer: -41*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.720918 to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -907 + 1307. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 28*k**2 - 5*k. What are the prime factors of l(-14)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2465543 - 2465543 + 87450*c.\nAnswer: 87450*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2860?\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - 2)*18\/54?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671126909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2*w**2 + 0*w**4 + 0*w**3 - w - 1\/5*w**5 + 0. What is the first derivative of s(v) wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j + 44. What are the prime factors of f(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6553 - 6524.99. Let f = -28 + j. Let q = f + -2.01. Put 1\/6, q, 0.5 in ascending order.\nAnswer: q, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2, 4*l - 5 = 3*q - 4*q. Let j be (-2 - (0 + 2))*q. Factor -d**2 + d**3 - 4 + j*d - 4 - 5*d**2.\nAnswer: (d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -9 - ((8 - 17) + 7)) + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 14*r - 9*r)*(-r + 2 - 2) - 2*r**2 + 2*r**2 + 3*r**2 + (4*r + 0*r - 2*r)*(4 - 4 - r) in the form t*r + l*r**2 + y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**6\/135 - 23*g**5\/90 - 143*g**4\/54 - 121*g**3\/27 - 278*g + 180. Let r(d) be the first derivative of m(d). Factor r(n).\nAnswer: -2*n*(n + 1)*(n + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4 + 31*v**2 + 0*v**4 - 15*v**2 - 4*v**4 - v**4 + 20*v**3 = 0. Calculate v.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**7\/420 - s**6\/45 + s**5\/15 + 7*s**4\/3 + 5*s. Let o(a) be the third derivative of y(a). Determine g, given that o(g) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 634014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1. Let c be -1*12\/(-9)*9. Suppose -4*r = c, -4*r - 5 = 5*i + r. Let h = -2 - i. Let y(w) = -w + 2. Calculate h*p(a) + 2*y(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 2}. Give prob of picking 2 y and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0 + 3*k + 1 + k**2 - 3. Let z be j(-6). Let h = z - -21. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:24 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -3*sqrt(108)*3 + 1 - (sqrt(108) + (sqrt(108) - (-1 + sqrt(108)) - sqrt(108)) + 3 + 0)) + -4 + -4)**2.\nAnswer: 1056*sqrt(3) + 7033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-36)*(-1)\/3)\/((-15)\/(-15))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 19*g - 14. Let m be f(18). Are -15 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*h**4\/9 + 160*h**3\/9 + 74*h**2\/3 - 62*h\/9 + 4\/9 = 0.\nAnswer: -1, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*s + 12095 = 122*s + 54*s. Suppose -3*d = -3*g - 36, -d + 5*g = -13 - 11. What is the lowest common multiple of d and s?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-220)*(-110)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287*h**2 + 19922 - 19922 + 658*h - 116*h**2 wrt h?\nAnswer: -806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -12*t + 9*t - 19, 0 = -t + a - 4. Let q(w) be the third derivative of 0*w - 2\/3*w**3 - 2*w**2 + 0. Let z(d) = -d - 7. What is t*q(l) + 3*z(l)?\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, 9\/8, 1168, -1?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 = -5*h, -18 = -3*y + 2*h + h. Let o be (3 - 2) + ((-45784)\/18)\/(-4). Let k = o - 638. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -465*k**2 - 76*k. Let y(f) = 652*f. Calculate j(y(r)).\nAnswer: -197673360*r**2 - 49552*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*m**4*z - 4*m**2*z + z + 512 wrt m.\nAnswer: 276*m**3*z - 8*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447764613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122 less than 2131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -599370 to the nearest 10000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 2133 = 3123. Let c = u - -931. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -264*p - 5*h + 67 + 187, 0*p - 5*p + 5*h + 3*h = -21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 48*u**2 - 38*u + 8. What is o(-17)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*d - 17347, d + g + 2163 = 7948. List the prime factors of d.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*h - 61*h - 65 + 24*h - 48 - 27 as a*h + y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjfe. Give prob of sequence yfy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -103, -279, -531, -865?\n\"Answer: -u**3 - 29*u**2 - 12*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 861?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 + 47*i - 122. Let l be h(3). Sort -1\/3, 1\/7, l, 0 in decreasing order.\nAnswer: l, 1\/7, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5779548 and 6?\nAnswer: 5779548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 + 34829.174?\nAnswer: 34829.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**6\/60 + c**5\/15 + 7*c**3\/3 - 5. Let i(u) be the third derivative of x(u). What is the second derivative of i(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103.98 + 104. Let w = 0.98 + x. Put w, -5, 6\/7, -2\/11 in ascending order.\nAnswer: -5, -2\/11, 6\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3984 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(12\/(-8) + 2). Let v be f\/5*(8 + -3). Solve v*l = -2, 5*h + 0*l + 22 = -2*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Let a(p) = p**2 - 2*p - 49. Let b be a(8). What is the biggest value in d, -0.5, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 1248 = 48*h. Sort h, -7, 1 in ascending order.\nAnswer: -7, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-21) - (1 - 10\/(-2)) and 11\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194250169 to the power of 1\/2, to the nearest integer?\nAnswer: 13937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 45. Suppose 0 = 3*x - w - 3. Is 11 a factor of ((-22)\/5)\/((-2)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csd when three letters picked without replacement from {o: 2, t: 1, s: 1, w: 1, d: 1, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71883637 and 189292.\nAnswer: 287534548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 950.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + 0)) + 3 + 1)**2*-2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -3)*(-1 + 2). Sort 35, 0, i in decreasing order.\nAnswer: 35, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b - 5*f - 6341, 0 = -5*b + 5*f - 10595. Let m = -610 - b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 4*h**2 - 4*h**2 + (5*h - 3*h - 3*h)*(20*h + 2 - 40*h + 19*h) in the form v*h + y + z*h**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - -258. Let h be (-1 + -20)*b\/(-497). Calculate the greatest common factor of h and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -505 + 2186. Suppose 1225 = -2*r - 5*x, 4*r - x + 714 + b = 0. Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2165, -2174, -2185, -2198, -2213, -2230, -2249?\n\"Answer: -y**2 - 6*y - 2158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-3 - 15)) + (2 + -1 - (40 - -4))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14 + 49 = 0. Let u be 30\/2*i\/(-63). Suppose x - 58 = -3*a, 61 = -2*a + u*a + 4*x. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 5*i. What is the remainder when 208 is divided by (-3)\/i - (-6 - (14 - 2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232234 (base 5) to base 11\nAnswer: -6387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107287 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 9, x: 1, e: 3, f: 2}. Give prob of sequence feq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99700.\nAnswer: 2, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**27*g)\/g**(-10\/9))\/((g\/g**(24\/7))\/g*g**(-3\/25)) assuming g is positive.\nAnswer: g**(53014\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**5\/20 - 7*z**4\/6 - 5*z**3\/2 - 23*z**2\/2 + 2*z + 156. Give j(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-45))\/(154\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/20 - 5*a**4\/12 - 5*a**3\/6 + 9*a**2\/2 + 84*a. Determine x(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - s + 6, -4*p + 260 - 252 = 3*s. Find t such that 2\/3*t - 1\/3*t**p - 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-25)\/20). Factor 0*s + 2\/5*s**2 - b.\nAnswer: 2*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*o - 8387*h - 66*o**2 - 653*o - 12 wrt o?\nAnswer: -h - 132*o - 653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19891149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828913179?\nAnswer: 1828913179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -70. Let x(y) = y**2 + 6*y + 3. Give x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.047 (b) 1 (c) 5 (d) 1\/2 (e) -1\/6 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2489*z**2 + z - 1239*z**2 - 1241*z**2 - 4 as d*z + l*z**2 + a and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -74*y**2 - 73*y - 5. Let m(l) = -222*l**2 - 218*l - 16. Let d(f) = -16*g(f) + 5*m(f). Find the second derivative of d(x) wrt x.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013285 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 0, 32 = -26*c + 27*c + 2*l. What is the lowest common multiple of c and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 17270336*d - 149132252776448.\nAnswer: -(d + 17270336)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 10. Let d be p(-8). Suppose 4*a - 3*f = 98, 4*f + 100 = 2*a + d*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 430127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79596, 159601, 239596, 319575, 399532, 479461, 559356?\nAnswer: 639211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 9*o + 4. Suppose 0 = 3*n + 3*n + 3*n. Suppose 11 = 3*d + 5*p - 13, n = -4*d - 2*p + 32. Calculate the least common multiple of h(6) and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 23 = -2*z - 22*d, 5*d - 17 = 2*z. Calculate the highest common divisor of z and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -620 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34313 (base 5) in base 12?\nAnswer: -150a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -n + 3*n - 8, 0 = 3*h - 3*n + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - 6*n - 13. Calculate the remainder when 929 is divided by h(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 + 6*c + 23 + 46170*c**2 - 45072*c**2 wrt c?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 633 - 632.8. What is the third biggest value in -18, -1, 1\/7, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 107?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-12) - -1)\/(20\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6076.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 10901?\nAnswer: 10905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62269022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*n - 1, 3*n + 3*q - 11 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -51, -1\/3, 4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:50 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 921 and 893677?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/63*(-1)\/170. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00373460978 to seven decimal places.\nAnswer: -0.0037346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 682, 1365, 2048, 2731, 3414, 4097?\n\"Answer: 683*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.31833 + 2.32. Let h = c + -0.002. What is h rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/21*56\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = 4. Solve -g = -6*s + 2*s + 5, -o*g + s = -10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103737855 by 2659945.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose l*p - 12 = p. What is the second derivative of 2*h + 3 - p - 4*h**5 + 5*h**5 wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14678, -29191, -43708, -58229, -72754, -87283, -101816?\nAnswer: -116353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3354335 (base 7) to base 12.\nAnswer: 181332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8057 + 2717*h - 850*h - 877 - 13305*h wrt h.\nAnswer: -11438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1891, -3776, -5661, -7546, -9431?\n\"Answer: -1885*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8809*y**3 + 4 - 4 + 14612*y**3 - 5804*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 1, j: 10, c: 4, v: 1}. Give prob of picking 2 c, 1 p, and 1 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 427250279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(175) - (sqrt(175)*1 + -4)) + 5 + (((sqrt(168) + (sqrt(168) - (sqrt(168) - 3*sqrt(168))))\/sqrt(6))\/sqrt(4)*-2)**2).\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431512 (base 6) in base 5?\nAnswer: -10111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2572041032 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107.0000165 + -107. Round h to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*s + 10 = -0*b, 20 = -4*s. Suppose -4*f + 0*f + b = 0. Let p = -0.4 - -0.5. What is the closest to p in f, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r - 3*y + 31, -2*y + 6 = -r. Solve -r*p + 2*t - 12 = 0, -3*t = 4*p + 14 + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/6 + 258*v. Let q(z) = 8*z**2 - 7*z**2 + 3*z**2. What is q(o(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 19 - 7 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-48)*-26 + (-4)\/16. Which is the closest to k? (a) -5 (b) -9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/87672 and 97\/90009920.\nAnswer: 270029760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from aqlalqalqqqqaaaqaqq?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794843 - 9228149 = -112*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30\/17 - 197\/102. Let i = 436.33 + -436. Put i, b, 5 in increasing order.\nAnswer: b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 < 97345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22000322103 + 4?\nAnswer: 22000322112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 621597721 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443785?\nAnswer: 5, 7, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * -0.74.\nAnswer: -23.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2*(-21)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/54 - 4\/(-18). Let j(t) = -10*t - 1. Let l be j(n). Let d be 1 - 1\/((-13)\/l). Which is the smallest value? (a) 1\/5 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 2*l**2 + 5*l - 9. Let i be y(-4). What is the hundreds digit of i\/2 - (-3375)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h**2 + 0*h)*(h - h - 3*h**2 + (-h + h + h)*(0*h + 4*h + 0*h) + h**2 - 3*h + 3*h).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from cccyccccccuccccc.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgabjggaggga. Give prob of sequence jag.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3 + 0 + 0*d**3 - 3*d**3 + 2 to g + n*d**3 + j*d + y*d**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2381*t**4 + 10*t**3 - 349*t**2 - 49*t?\nAnswer: 57144*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -bd85c?\nAnswer: bd85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 0.5 (c) 1 (d) -41 (e) 0.2 (f) -0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -y + 2*y - 16, 0 = -y + g. Solve -7*d + 24 = -y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y - 3*y - 10*y - 139. Let i be k(0). Let j = i + 317. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 1. Let f(r) = -r + 12. Let i(n) = n**3 - 2*n**2 - n + 2. Let z be i(1). Calculate the smallest common multiple of f(z) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 179, 268?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332 + -323. Let h be (m - 6) + 1 - -1*20. Calculate the greatest common factor of h and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**0*q)*(q\/q**(8\/5))\/q)\/(q\/q**(-1))**(-6))\/((q\/q**8*q*(q*(q*q\/q**9)\/q)\/q)\/(q**(2\/7)\/q**3)) assuming q is positive.\nAnswer: q**(759\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 + 2*x + 2. Let t(l) = -10*l**2 - 5*l - 5. Let b = -128 - -138. Suppose 0 = -5*n + 3*n - b. Give n*i(g) - 2*t(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n**2 + 75*n + 402. Determine x(16).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 5. Let r(h) = -15*h + 24. Let l(m) = 12*m + 12. Let z be l(5). Suppose -2*s - s = -z. Determine s*g(y) + 5*r(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2915.528 + -2909. What is m rounded to 1 decimal place?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**(2\/53)))\/(s\/s**(12\/5)*s))\/(s\/s**10*s*s\/s**(13\/5)) assuming s is positive.\nAnswer: s**(585\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -934846.914 rounded to the nearest 1000?\nAnswer: -935000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/2, 139, -6890.\nAnswer: -6890, -3\/2, 0, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w - 12*w + 707 + 721 - 2147 + 721 - 4*w**2.\nAnswer: -4*w**2 - 32*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282*s + 112838 = 1171*s for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-2) - -4)*1. Suppose -q + o = -2*p - 5, 0 = 3*p - 6. Let h(b) = 44*b - 4. Let z be h(2). Calculate the highest common divisor of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*l = 3*s - 64, 6 = s - 4*l. Solve -2*o = o + 5*n + 1, -n - s = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 0.2, 2\/11, 1\/10, 4 in decreasing order.\nAnswer: 4, 0.2, 2\/11, 1\/10, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = z - 16, 0*z - 2*s + 52 = 4*z. Suppose -4 + z = 4*k, 3*k = 2*w. Let j = 3 - 3. Solve -3*b + j*b - w = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 161.6 from 137.43.\nAnswer: -24.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85)*3)*-3)\/(sqrt(5) + (-3*sqrt(15))\/sqrt(3)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Let o = 8 - g. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773964479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 24*l - 28. Let i be g(23). Let y(z) = 2*z + 1. Calculate y(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -2, 8, 5 in ascending order.\nAnswer: -12, -2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3462.3 - -3481. Is -9 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12306 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: Put -6, -5, 4, 1, -7, -47, -87 in ascending order.\nAnswer: -87, -47, -7, -6, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14546 or -2507?\nAnswer: -2507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/473360794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 215 and -3.86.\nAnswer: -829.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1\/5, 0.4, 0.1 in ascending order.\nAnswer: -1\/5, 0.1, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.978934296 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29212 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572907 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16019 + 3124?\nAnswer: 19143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -1\/5 (c) -261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/60 + 13*d**4\/24 + 28*d**3\/3 - d**2 - 24. Calculate the remainder when 32 is divided by w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 8*y - 2. Give f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1331*j + 168167. Give q(-127).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 - (834\/12)\/(-1). Suppose -11*d = 5 - c. Suppose 20*i - 44282 = d*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 369, 808, 1417, 2196, 3145, 4264?\nAnswer: 5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485019187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:31 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2202311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-23)\/12)\/(-23))\/(4\/16))\/(630\/216).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n + 4*n)*(4*n + 2*n - n) + 3 + n**2 - 3 as f*n**2 + m + v*n and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 367 - 411 = -284 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13393300 to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33360026 to the power of 1\/2, to the nearest integer?\nAnswer: 5776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 + -56 - 92\/9) + 1032\/27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9728997222 to the nearest 100000.\nAnswer: 9729000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 354420 divided by -8055\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -9283631\nAnswer: 306359823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 202, -215, -1330, -3491, -7046, -12343?\n\"Answer: -58*r**3 - r**2 - 8*r + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) + 1 + -5 - sqrt(19) - (sqrt(19) - (sqrt(152)\/(sqrt(8)*-1 - sqrt(8)) - sqrt(19))**2))*5.\nAnswer: -5*sqrt(19) + 795\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6463 or -6451?\nAnswer: -6451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*w = 9, 3*j - 3*w = -j - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 3. Let j = z - 2. Let t = 26\/3 - 292\/33. Is t at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -72, -104, -136, -168, -200?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*(d\/(d**(-1\/4)*d*d))\/d*d))\/(d*d**8)*d**(1\/8)*d**(-2\/11) assuming d is positive.\nAnswer: d**(-643\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -965*x - 1895 = -970*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/183? (a) 4 (b) -2\/55 (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4))\/d*d**(-1\/4)*((d*d*d\/(d\/(d*(d*d**(-2\/21)*d)\/d))*d)\/d)\/(d*d*d\/(d\/(d**(-4)\/d))*d*d*d) assuming d is positive.\nAnswer: d**(-29\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 9)*(2\/(-6) - 2). Let c(o) = 3*o**3 + 14*o**2 + 3*o + 6. Let w(k) = 4*k**3 + 14*k**2 + 2*k + 5. Let q(v) = 5*c(v) - 4*w(v). Does 12 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1586, -6359, -14316, -25457, -39782, -57291?\nAnswer: -77984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 8*z - 14. Let k be w(4). Let s be 0 + 33\/k - 2\/5. Put -4\/9, -0.15, -3, s in descending order.\nAnswer: -0.15, -4\/9, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/18, -0.1, -2\/9?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + l**2 + 2*l**2 - 5*l**2 + 2*l**2 + l**2 + (0*l - l + 2*l)*(-5*l + 4*l + 2*l) + (-5*l + l**2 + 5*l)*(-4 + 12 + 15).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.402 - 0.002. What is the second biggest value in -5, p, 1\/2, -2\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u - 33\/4*u**4 + 1\/2*u**6 - 18*u**3 + 0*u**5 - 12*u**2 - 55. Factor p(l).\nAnswer: 3*l*(l - 4)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 170*c + 71. Calculate s(-3).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -660, -869, -1166, -1551, -2024?\nAnswer: -2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -53*q + 2. Let i be y(-2). Let l = i + -79. Which is greater: l or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -11752 in ascending order.\nAnswer: -11752, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322675928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 2432.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/36*-2)\/(3140\/(-30144)))\/(2\/3)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/3 + -6. Let n(u) be the first derivative of 0*u - 3 + 0*u**2 + 1\/2*u**4 + k*u**3. What is the third derivative of n(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6388 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - 6 + 6)*(-u + 5*u + 2*u)*(66*u + 8*u - 14*u) as z + y*u + f*u**3 + t*u**2 and give f.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2138 + -1949. Calculate the highest common divisor of h and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.2. What is the third biggest value in 0.3, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 + 3 = 0. Let l be (14\/4)\/((-1)\/b). What is the greatest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 827, 1653, 2479, 3305, 4131, 4957?\n\"Answer: 826*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-684)\/(-456))\/(5*3\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6)*(9396\/792 + -12). What is the nearest to -1 in 110, v, 0.4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54154136 or -54154133?\nAnswer: -54154133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/20 + (-11)\/(-5). Suppose 6*n - 76 = 4*n. Let d = 40 - n. Solve o*h + 12 = 4*h - d*s, -5*h + s + 18 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -1169, 0.2, -1\/5, -1\/2 in descending order.\nAnswer: 8, 5, 0.2, -1\/5, -1\/2, -1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(2\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26148617 = 6*i - 17531383. Round i to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 88. Let z = 29 + q. Let k = z + 30. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4893045 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -57160.1 + 0.87?\nAnswer: -57159.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqggggqgggg. What is prob of sequence qqg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 6. Let f be 87\/15 + i\/(-25). Find the third derivative of 13*t**2 + 7*t**2 + 7*t**f - 11*t**2 wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.9 - 59.9. Which is the smallest value? (a) z (b) 4 (c) 1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -508.404 - -5.404. Which is the biggest value? (a) m (b) 2\/15 (c) -1 (d) -4 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.046? (a) 0.5 (b) 128 (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 + 25*j - 16. Let s(v) = 3*v**2 + 12*v - 8. Let n(f) = -4*a(f) + 9*s(f). Let l be n(1). Let y = 4 - 2. Solve -l*p = y*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/((m*(m**11\/m*m)\/m)\/m)*m*m**(5\/9))\/(m\/(m*m*m*m\/m**(-21)*m)*(m*m**(-8))\/m*m))**(-11\/7) assuming m is positive.\nAnswer: m**(-2728\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 8) to base 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30e65 (base 16) to base 14\nAnswer: 52dc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -323*b**4 + 4*b**2*w + 14246*w with respect to b.\nAnswer: -1292*b**3 + 8*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/35794013 and -87\/2194.\nAnswer: 71588026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and 0.0938.\nAnswer: 4.5024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6217?\nAnswer: 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9224 + 9237. Solve 388 = a*s + 323 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-75)\/(-10080)*(-18)\/(-10)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - 90 = 5*k, 4*k + 72 = -2*m. Let p(x) be the first derivative of -x**2\/2 - 10*x + 61463. What is p(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*i = -12, 0 = 78*t - 82*t - i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12\/(n*n\/(n*n*n**(-15)*n)*n))**25 assuming n is positive.\nAnswer: n**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 + -5)*1)\/(-2). Let r(o) = -o**2 + 6*o - 6. Let k be r(t). Solve k*g - 2*z = 0, -3*z = -3*g - z - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 36 = -5*y. What is the highest common divisor of 66 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 9 = 5*p - 2*j, 0 = -3*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9318.083 kilograms in tonnes?\nAnswer: 9.318083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from rvbvccababbclbbbbv.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((33 - 10) + -21 + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, 3, 524, 23 in increasing order.\nAnswer: -14, -2, 3, 23, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 11*o**2 - 16*o - 56. Let w be i(7). What is the greatest common divisor of 812 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82132 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6479 and 4.\nAnswer: 25916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - 86*k**2 - 5*k + 611. Give u(-21).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010200 (base 3) in base 9?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 65*g**2 - 72*g - 512. Let u be o(-64). Solve u = -4*b - m + 16, -2*b + m + 18 = 4*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6581037*k**3 - 351*k**2 - 11*k - 63.\nAnswer: 39486222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:09 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -470 + 785. Suppose 31*m - 22*m - c = 0. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*f - 588*f + 5*d - 6*d = 2*d + 997, -56 = -f + 4*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494900 and 4577825.\nAnswer: 18311300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 - -1.86. Let r = z + 5. Which is greater: r or -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*w**2 + 4 + 2 + 1 - 6 - 2*w to the form h + n*w + c*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 54. Let d(a) = -4*a + 53. Let u(p) = -3*d(p) - 2*x(p). What is the units digit of u(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 23, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18943*i**2 - 4*i - 325353?\nAnswer: -37886*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 284 + 94. Let p(r) = 6*r + 3. Let u be p(3). Calculate the greatest common factor of f and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 - 107. What is the greatest common factor of u and 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5*w. Let t be p(6). Solve -t*h = -h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (220\/12 - 3)\/(14\/252). Is 11 a factor of (287\/123)\/(2\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*p = -152*p + 5*b + 32, 0 = -4*p - 4*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - (2 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14124 = -16*z + 12*z + 4*j, -7067 = -2*z + j. What are the prime factors of z?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51145 (base 6) to base 5\nAnswer: 204021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -41. Suppose -88 = -5*w + 4*d, 5*w - 3*d - u - 81 = 0. Does 14 divide w*1*(-7 - -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -13*u + 13. Let y be m(-6). What is the highest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000347 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 3*y + 2*y + y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5699166 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*-6 + 9. Let x = b + -8. What is the units digit of (-205)\/(-25) + x\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164004586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6478590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaf when four letters picked without replacement from wfwaffawwwwfwfffwwa.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 645762?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 165*k**2 + 346*k**2 + 56*k**2.\nAnswer: 3*k**3 + 567*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 39*s - 28*s = -70*s - 33, -2*l + 2*s - 20 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86892?\nAnswer: 2, 3, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 11*j**2 + 27*j - 3. Let d be i(13). Let x(v) = 5*v**2 - v + 1. Let a be x(1). Is (-1)\/a - (-4672)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j - 3. Let s(q) = -q**2. What is s(c(l))?\nAnswer: -16*l**2 - 24*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiisiiiiiiiiiiii. Give prob of picking 1 s and 3 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5175, 5168, 5147, 5106, 5039, 4940, 4803?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 406281 less than 406281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**2 - 330*q + 2066. Calculate k(34).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1, -1\/2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40366143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -308, -701, -1252, -1961?\nAnswer: -2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 12*n + 171. Give h(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**4 + v**3 + v**2 + v - 4. Let n(d) = -238*d**4 - 2*d**3 - 6*d**2 - 17*d + 8. Let g(b) = n(b) + 2*y(b). What is the third derivative of g(k) wrt k?\nAnswer: -5664*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/2 + 2013*x**4\/4 - 8617*x**3\/2 + 5345*x**2 + 16500*x + 25375\/4 = 0.\nAnswer: -1015, -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2571626\/119 + 21610. What is the common denominator of x and -91\/8?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 139042 + 139042. Let h(i) = 186*i + 2. Give h(a(z)).\nAnswer: 372*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -684446 * 0.2\nAnswer: -136889.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**2 + 9*y**2 + 2*y + 0*y + (-3*y - 3*y + 5*y)*(1 - 2*y - 1) as h*y + s*y**2 + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i + 260. What is t(21)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*v**3*z**2 + 3*v**3 + 429*v**2*z**2 - 57*v**2 - 2*v*z + 34*z wrt z.\nAnswer: -42*v**3 + 858*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 10310102?\nAnswer: -10310031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101.083 + -0.083. Let n = 115 - p. Which is the biggest value? (a) -0.3 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**3 - 96*o**2 + 205*o - 3316. Give g(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125158*a**3 - 4*a**2 + 4670.\nAnswer: 750948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2. Let d(z) = -3*z**2. Suppose -y - 32 + 40 = 0. Let k(o) = o**2. Let i(c) = y*k(c) + 3*d(c). Determine w(i(p)).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 3:30 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - 2b?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-60237)\/(-36) - 63\/28 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t**6)**(-29\/5)*(t*t\/(t\/((t**(1\/3)*t)\/t)))\/(t\/(t\/(t\/(t\/((t**(2\/5)*t)\/t)))))*(t*t**6*t*t)\/t**2 assuming t is positive.\nAnswer: t**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176719556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12\/(q*q**(1\/10)))\/(q**(-5)\/(q*q**(-1\/4)*q*q*q)) assuming q is positive.\nAnswer: q**(393\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s - 4*y + 88, 34 = s - 2*y. Suppose -5*o = q + 3*q - s, 0 = -5*o + 10. What is the remainder when 42 is divided by (-116)\/(-8) - (-2)\/q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3\/3 + 39629*f**2\/3 - 42287*f + 7929 = 0. What is f?\nAnswer: -7929, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2394, 9565, 21518, 38253?\n\"Answer: 2391*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*h = -1, -4*h + 41 = -y + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 23. Let y(g) = -11*g + 49. Let n(z) = -13*d(z) + 6*y(z). Let p(o) = 2*o + 9. Calculate -5*n(a) - 3*p(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -136*r + 849. Let h be g(6). Let v be 1418\/2*(0 - -1). What is the common denominator of 25\/27 and v\/h + (-54)\/(-297)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 2*y. Let s(v) = -v**2 - 3*v - 1. Let x(q) = 7*d(q) + 6*s(q). Let g be x(5). Which is the biggest value? (a) 3 (b) 2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w + 53*w - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6868, 6896, 6920, 6940, 6956, 6968, 6976?\n\"Answer: -2*u**2 + 34*u + 6836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 4:34 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -101*v**2 - 6*v + 45. Let u(f) = 200*f**2 + 13*f - 89. Let n(d) = -7*j(d) - 3*u(d). What is the second derivative of n(p) wrt p?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k + 23. Let r be u(1). Sort 1, r, -10, -2 in increasing order.\nAnswer: -10, -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -113, -293, -473?\n\"Answer: -180*y + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:40 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85764)\/35735*(-10)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m + a - 675, 5*m - 675 = 4*a. Suppose -7*c = -2*c - m. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437053.\nAnswer: 17, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -2 (c) -28 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 2. Suppose 0 = m + c*m - 6. Find the first derivative of -2 + 2*x - 2*x + x**m wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - w + 25. Let u(z) = z**2 + 6. Let f(y) = 2*l(y) - 9*u(y). Let r be (-60)\/18*6\/(-5). Let k be f(r). Solve o = 3*o + k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130059 - -40058047\/308. Let t = s - 1\/44. Which is the third smallest value? (a) 1 (b) t (c) 2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2\/13, -0.5 in decreasing order.\nAnswer: 2\/13, -0.5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and 328118278637?\nAnswer: 328118278647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35776.56 + 36511. Let y = -695 + h. Let x = y + -39. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Which is the second biggest value? (a) v (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(242))**2 - sqrt(242))*-6.\nAnswer: -23232 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 7, e: 1}. Give prob of sequence nkn.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/9)\/(4\/6). Let i(c) = 25*c**2 + c - 2. Let w be i(j). What is the highest common divisor of 64 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010269 to 7 decimal places.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + (-5 - -3) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000038761 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:40 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (-10 + 12 + 5 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123216, 246436, 369658, 492882, 616108, 739336?\n\"Answer: h**2 + 123217*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49376778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 104 = -122*w - 254 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**3\/13 + 169567180*r**2\/13 - 452179112*r\/13 + 17391504 = 0.\nAnswer: 2\/3, 2, 28261194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 62. Determine q so that -65*q + 2*q**4 - k*q**3 + 0*q**4 + 3*q**4 + 19*q**2 + 79*q = 0.\nAnswer: -2\/5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**5\/15 + m**4\/12 - m**3 - 3*m**2\/2 + 1356. Factor h(a).\nAnswer: a*(a - 3)*(a + 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3309, -25566, -85989, -203664, -397677, -687114, -1091061?\n\"Answer: -3181*m**3 + 3*m**2 + m - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(14\/1)*(-112)\/(-280)*1.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6437.\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -18, -32, -42, -42?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 127. Suppose -y = 3*y + 4*s - 1012, -y + j*s + 261 = 0. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.396948mm?\nAnswer: 0.000001396948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(78\/(-72)))\/(-10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Suppose 0*g + v*g - 180 = 0. Suppose 0 = 2*l + l - g. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 455 - 443. Let m(t) = -t + 20. Determine m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 5328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 117, 269, 483, 759, 1097?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20686*y + 10312*y = -10312*y - 5642 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**0\/h)\/h*h)**(17\/7))**(-8\/7)\/((((h*h**(-2\/9))\/h)\/(h\/(h*h**(-2))))\/(h**(-1\/4)\/h*h*h\/(h*h**(-4)))) assuming h is positive.\nAnswer: h**(215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1558, 3061, 4552, 6025, 7474, 8893?\n\"Answer: -y**3 + 1510*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-3))**10\/(h*h**(-2\/17)*(h\/h**(6\/11))\/h) assuming h is positive.\nAnswer: h**(9287\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/5*24340\/(-214192).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(46\/120 + (-150)\/500)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6555 times 16250\nAnswer: 106518750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 1. Suppose -2*y - 3 = 5. Let r(v) = 6*v**2 - v + 5. What is y*k(t) - r(t)?\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*c - 10704 = 0, 0*z + 4*z - 2*c = 42830. List the prime factors of z.\nAnswer: 3, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/30 + -1 - (-78)\/585) + -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*j = -108*j - 7942. List the prime factors of (j\/(-2))\/11*-2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 903 - 424. List the prime factors of y.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 7. Let r be u(-7). Suppose r = -7*n + 2*n + 590. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, 3, 16, 31, 48, 67?\n\"Answer: b**2 + 8*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 0 = -44. Factor -5*b**4 - 503*b**a - 792 - 7*b**3 - 828 + 117*b**3 - 282*b**2 + 1980*b.\nAnswer: -5*(b - 9)**2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113.5*22.\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + j**2 + 3*j + 1. Suppose 2*n = -3*r + 286, -2*r + n - 5*n + 204 = 0. Calculate the remainder when r is divided by x(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 7. Let d be u(2). Let p(h) = 6*h**3 + 2*h**2 + 2*h + 2. Let x(q) = 6*q**3 + 3*q**2 + 3*q + 3. Calculate d*p(y) + 2*x(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 16*b**2 + 47*b - 29. Calculate g(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -5*p**2\/2 + 144. Let i(r) = r + 0*r + 4*r. Calculate o(i(y)).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:57 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 22*v + 17. Suppose -3*b - 6 = -h, -4*h + 2*b + b + 24 = 0. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from mmmmmjmmjmm?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18514 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153)\/(sqrt(36)\/sqrt(4)*5))**2.\nAnswer: 272\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -10248 + 38591. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446\/9 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)*d**6*d*(d\/d**(-2\/5))\/d*d*d**9*d assuming d is positive.\nAnswer: d**(286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -694 (b) -5 (c) -2 (d) 0.6 (e) -2\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*u = -59 + 65, 4*o - 9 = -u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -5085819.\nAnswer: -5085807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:08 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 19*f. Suppose f = 28*v - 32*v + 3088. What are the prime factors of v?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 172, 354, 556, 772, 996, 1222, 1444, 1656?\n\"Answer: -h**3 + 16*h**2 + 141*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -34.1. Let v = 0.9 + o. Which is the third smallest value? (a) v (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22328714 divided by -1.\nAnswer: 22328714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308459980.\nAnswer: 2, 5, 359, 42961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*z - 3*p, -2*z + 4*p = 33 - 1. Let c = 21 - z. Suppose 0 = -5*r - 4*d - 1 - 2, -5*r + 4*d = c. Put r, -4, 0.3 in decreasing order.\nAnswer: 0.3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 249.32 and -1413.\nAnswer: -352289.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/12 - 2*v. Let p be 4\/(-14) - (-4)\/14. Let w(l) = 6*l - 2*l + 0 + p. Calculate w(x(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 2 - 28 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(48)\/(sqrt(4)*-3) - -5*sqrt(12)*3)\/(sqrt(216)*-6 + sqrt(60)\/(sqrt(10) - (sqrt(20)\/sqrt(2) + sqrt(10)))).\nAnswer: -49*sqrt(2)\/111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7089895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (-27 - (-34 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:29 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + l + 7 - 14)*(-3*l - 2*l + l).\nAnswer: -4*l**2 + 88*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 584063115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16806993 <= 16806991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 1\/3*n**3 + 96 + 0*n**2 - 43\/2*n**4 + 22*n. What is the third derivative of k(o) wrt o?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.485 - -0.5. Let o = -106 - -105.994. Let j = d - o. Round j to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 + 45*p**4 + 115*p**3 + 35*p**2 - 120*p - 80 = 0 for p.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1499, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25939646273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138897 and 7584687.\nAnswer: 462665907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 9 + 67 + (1 - 4 + 1)*(-1 - 2 + 2))*(-8*o + o + o + (0*o - 2*o + o)*(5 - 3 - 3) + 3 + o - 3) to n*o + u and give n.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012427.6 months in years?\nAnswer: 167702.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-82384)\/3252?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.1351119 rounded to two dps?\nAnswer: 52.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310257.8 weeks in seconds?\nAnswer: 187643917440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 139443 + -12?\nAnswer: 139431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/7 - 16879704*f**2\/7 - 67518792*f\/7 - 67518784\/7 = 0.\nAnswer: -8439848, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 135, 5, -4, -3, -5 in descending order.\nAnswer: 135, 5, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*q = -72*q + 180. Calculate the greatest common divisor of q and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 4) to base 2\nAnswer: -101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3 and -20\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 4*g - 8*g**3)*(12 - 6 + 11 + 34) to the form i*g**2 + l + m*g + k*g**3 and give k.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15969 - 134*y**3 - 16011 + y - y wrt y?\nAnswer: -402*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:48 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 23\/2, -4\/11, 1\/6, 1688?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8690 (base 11) to base 8.\nAnswer: -26321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 476004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4326773804881 - 4326780542784.000106. Let p = -6737956 - h. Let w = p + 53. Round w to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-252) - (-125)\/175\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13067456*h**5 + 82*h - 33768 wrt h?\nAnswer: -261349120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:51 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z**2. Let i(b) = 0*b**2 + 0*b**2 + 4*b**2 - b**2. What is i(w(a))?\nAnswer: 432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 24. Suppose d*z - 1187 = -s, -12*s - 874 = -3*z - 16*s. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and -2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11672717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*a**3 + 151*a - 329*a**3 - 151*a.\nAnswer: -621*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((24\/(-14))\/(1107\/(-861)))\/(2\/3). Is d smaller than 140\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-5 - ((-119)\/35 + -3)). Let r be ((-2)\/9)\/(-2)*3. Let g = -16.6 + 17. Put r, g, 4, f in decreasing order.\nAnswer: 4, f, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 9. Let d(g) = 12*g**2 - 2*g - 410. Let p be d(0). Let n = p + 403. Determine s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -18, -85, -214, -423?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5583, 5581, 5579, 5577?\n\"Answer: -2*l + 5585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1503)\/(-1169) - (-4)\/(-14)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49989850 by 25.\nAnswer: 1999594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 101. Let s be 2\/(-4) + -2 + (-99)\/(-6). What is the closest to 1 in s, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*b - 1972*b = -40411 - 14499 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - -13. What is the highest common divisor of m and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -128. Calculate the remainder when i is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14180)\/2412 - 3)\/(72\/(-27)). Let j = b - -1\/268. Let j*v**3 - 25\/6*v + 5\/6*v**5 + 5\/3*v**2 + 5\/3 - 10\/3*v**4 = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 1 (b) 148 (c) -0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a\/((a**(-3\/8)*a)\/a))*a)*a**(-1))\/(a\/a**(-2\/5)*a*a**(3\/4)))**47)**43 assuming a is positive.\nAnswer: a**(-224331\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvbq when four letters picked without replacement from nqvvbuu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 - 13*r - 5 + 13 wrt r.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 123 and 22.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1787 + 3204. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 + 39.87. Let h = m + -20.5. Let d = h - 18. Which is the third biggest value? (a) -3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81792 is divided by 650?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 624*-25.8\nAnswer: -16099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1629 - -1633. Put -2, -24, -0.04, t in descending order.\nAnswer: t, -0.04, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2337604\nAnswer: -3\/2337604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12067 + -7108. What is the second derivative of -4913*l**4 - 2*l - 28*l + o*l**4 wrt l?\nAnswer: 552*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2. Let w(j) = 48*j - 7. Let s(a) = -a - 1. Let l(z) = -6*s(z) + w(z). What is y(l(v))?\nAnswer: -8748*v**2 + 324*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba234 (base 14) to base 16.\nAnswer: 6df96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-8) - 1 - (-544)\/(-1152). What is the closest to 0 in 2, 3, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y + 25. Let i = -1 - y. Suppose 0*v = -4*z - 2*v + 176, i*v = -5*z + 226. Calculate the greatest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -8)*2\/6. Let y be (389 - -14) + (q - 0). Suppose 2*v - 1193 = -y. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Solve 19*v - 87*v**5 - x*v + 400*v**4 + 279*v**5 + 1 + 99*v**2 + 292*v**3 = 0 for v.\nAnswer: -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -24 - 4*y**3 + 2*y**3 + 16 - 4*y**2 + 13 - 6*y. Let r be h(-5). Is 0\/(0 + -1) + r a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 7*p - 7*p - 3 + 8*p to g + r*p and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.001 - -0.001. Which is the nearest to -4\/7? (a) o (b) -0.2 (c) 2\/23 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*v**(2\/3)*v))\/v)\/v*v*v)\/v)\/(v**11*v))\/(v**9*v**(-2\/5)) assuming v is positive.\nAnswer: v**(-349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24417970 is divided by 827?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 12. Let f be c(0). Solve 5*l = y + f, -2*l = -3*y + l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = k + 11, 0 = 5*k - i - 2*i + 37. Let v = 17 - k. Let g = v - 18. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11529\/482 - 62\/723. Calculate the common denominator of z and -47\/12653.\nAnswer: 75918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 64*n + 96. Calculate c(32).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 22. Let b be j(-3). Suppose -177 = b*f + 4*z - 793, -438 = -3*f + 3*z. Calculate the least common multiple of 20 and f.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3)\/((-3)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/90)\/(325\/15)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 23*f - 16. Calculate j(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 2*t - 211. Let a be n(0). Let b = a - -231. What is the remainder when 30 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(1\/(-106)). Let o = -26 - i. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 350.28 - 2.28. Which is smaller: c or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203255899481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220003 (base 4) in base 16?\nAnswer: 3a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3032)\/17434)\/((-28)\/46)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.58 + -0.42. Let w = -1156 - -1129.05. Let b = g - w. What is the third smallest value in b, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + 3378\/(-240))*(-4)\/42*-7?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.80513581 to 1 dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/720 + 2*h**4\/3 - 9*h**2. Let y(r) be the second derivative of t(r). Let w(n) = 26*n. What is y(w(p))?\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q - 140. Let c = -7 + q. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 84 - 57 - 6*j + 10*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 5 - 6)*(2 - 4 + 0)*(0 + 0 + 18*v) to the form r*v + d and give r.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/8081 and -29\/19006512?\nAnswer: 19006512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202408.\nAnswer: 2, 150301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1047 + -24244?\nAnswer: -23186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (2 + 18 - (-27 + -11))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15586419019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 221001111000000222?\nAnswer: -221001111000000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oovv when four letters picked without replacement from {v: 17, o: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105420.93 months in years?\nAnswer: 8785.0775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/(-70))\/(2\/7). Let i(w) = -w**3 + 7*w**2 - 5*w - 2. Calculate i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 3. Let k = -38 - -36. Let z be r(k). Calculate the greatest common factor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 764275972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k - 3 + 3 - 3 - k**3 + 2*k**3 - 8*k**2. What is the units digit of n(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -44 in descending order.\nAnswer: 3, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2023\nAnswer: -2\/2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*y + 25 - 91, 2*p = -5*y - 72. Let v = 55 + p. Is 8 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 8*i**2 + 6*i - 142. Let x be h(9). Let t(o) = -2*o - 16. What is t(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + j**4 + 3*j**4 + (j**4 + 3*j**4 - j**4)*(0 + 2 - 3) + 0*j**4 - 3*j**4 + 2*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 79 - 75. Suppose 25 = 3*v - r. Suppose 2 = -2*a + v. Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 9 = -m, l = m - 1. Let s(q) be the second derivative of -q**5\/20 + 11*q**4\/12 - q**3\/6 + 13*q**2\/2 + 6*q. Let j be s(11). Is j <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2\/9 (c) -1161 (d) 7\/3 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/36*4\/2*6. Suppose -4*o = j + 14, 0 = y*j + 5*o + 9 + 5. Solve 3*u - 8*u + 4*l = -27, 6 = 4*u + j*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {l: 1, a: 4, o: 2, e: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b + 13 = 0. Suppose -b*x + 235 = -8*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = -5*b + 10, 5*b - 22 = -3*s. Let x = -3 + b. Let f be 5\/(-7) - x - 0. Sort -5, f, 0.4 in descending order.\nAnswer: 0.4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.7, -0.4, -6 in decreasing order.\nAnswer: 0.5, -0.4, -0.7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - a - 21 = -6, 2*a + 27 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 4*d. Let v be d + (-618)\/(-146) + -3. Let w = -2728\/511 - v. Calculate the common denominator of 1\/7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/10*288\/(-40)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 342611, 2, 3 in decreasing order.\nAnswer: 342611, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**6\/24 - 31*j**4\/6 - 197*j**3\/3 - 29. Let y(q) be the third derivative of c(q). Find the first derivative of y(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332097048.\nAnswer: 2, 3, 7, 19833911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(1323) - (sqrt(1323)*-2)**2).\nAnswer: -420*sqrt(3) + 105840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1193.1 - -79.1. Let u = a - -1113.97963. What is u rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 298 and 1341.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -2\/9, -622\/229, 0.4 in increasing order.\nAnswer: -622\/229, -0.8, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 917317904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 a factor of 204602749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 - 16*k - 11. What is the units digit of w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-2))\/4 - -1. Solve 0 = 2*b - c + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.9 - 11. Let z = 1.98 + 0.02. Let y = -52.5 - -53. Which is the nearest to i? (a) z (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u\/(u*u**16)*u*u)\/u*(u*u*u*u**(2\/5))\/u*u)\/((u\/u**0)\/u**(2\/41)))**(-10\/13) assuming u is positive.\nAnswer: u**(4326\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025 (base 9) in base 7?\nAnswer: 4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*t + 11 = 0, -5 = -2*z + 95*t - 92*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/36 + 16\/6. Let t be 8\/(-10)*(p + (-77)\/14). Solve t*j + 4 + 6 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2267, -2271, -2275?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-16) + (-2)\/(-8). Suppose 4 = 2*y - s*y. What are the prime factors of 29\/(2\/4*y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z**1\/z))\/z*z*z))**(-2\/5)*z*z**(1\/12)*z*z**13\/z assuming z is positive.\nAnswer: z**(869\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f + 5. What is x in x**3 - x**4 + x**2 - 2*x**5 + 4*x**f - 3*x**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from vsyyysyvysvfjgsy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229912 is divided by 9574?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*u + 20 + 19 + 19 - 63 + 172*u in the form l*u + o and give l.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*k - 145 - 407 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 3*f**2 + 3*f - 1. Let l be z(-3). Suppose -9*m - 4*m = 282 - 1738. Calculate the greatest common factor of m and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -9. Let d = t - 59. Solve -a - 2 = -d*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18369 smaller than 18369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15276564 divided by 146.\nAnswer: -104634","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -9. Let c be ((-4)\/6)\/((-9)\/81). What is the units digit of ((-5)\/2)\/(x\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d - 5?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (4*33)\/(-3). Suppose a = 4*a - y. What is the smallest common multiple of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261787140 to the power of 1\/3, to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6 = -5*d, d - 5*d = -5*i + 30 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 119.1 times 4170\nAnswer: 496647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeooodeee. What is prob of picking 1 e and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1133\/7939 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -159 (b) 9 (c) -13705\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2. Let l be d(0). Let t be l\/((-3)\/(3\/(-2))). Let q(b) = -3322*b - 16607. Let f be q(-5). Put 0, t, f in increasing order.\nAnswer: 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18277.76 to 0 dps.\nAnswer: -18278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5436)\/(-28) - 3\/21. Suppose -3*u + u = -3*j - z, 3*u + 4*j - 257 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 13 + 4)*(-2*k + 2*k + k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -679 + -21687158.86.\nAnswer: -21687837.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 2*h + 7. Let c = 58 - h. Solve 0*d - 4*d + c*y + 29 = 0, 5*d = 2*y + 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = -5*h - 25, 0 = -3*d - 5*h - 5. Suppose 12 = -4*p + p, -5 = 5*q + d*p. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/3 + 80*n**3\/3 - 748*n**2\/3 - 80*n\/3 + 250 = 0.\nAnswer: -1, 1, 15, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1)*(694 - 694 - 47*p**2)*(2*p - 3*p - p) as g*p**3 + l*p + s*p**2 + v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393697 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: How many minutes are there between 11:53 AM and 7:46 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4055 + -3760. What is the greatest common divisor of z and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000523638 to 6 dps.\nAnswer: -0.000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40501 and -47\/3208.\nAnswer: 324008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1964 + 25. Suppose 3*p = -0*p + s. Let b(r) = -663 + r + p. Let l(w) = 4*w**2. What is l(b(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**4\/12 - 2*p**3\/3 - 2*p**2. Let a be j(4). Solve -2*v - 14 = -a*i, -3*i - 5*v = i - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93.9907 - 94. Let d = -0.005 - r. What is d rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*u**5 + 15*u**4 - 6*u + 87 wrt u?\nAnswer: -200*u**3 + 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13969405.\nAnswer: 5, 251, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -334772\/3 = -111590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -669, -672, -675, -678?\n\"Answer: -3*s - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1 (b) -0.3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 11. Let r(k) = -8*k - 23. Give 9*p(d) - 4*r(d).\nAnswer: -13*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 + 6*p + 9 - p**3 + 0*p**2 + p**2. Let s be n(7). Suppose 3*u = -12, -7*b + 5*u = -4*b - 26. Solve 2*z + 8 = -b*a, -s*z + 3 = 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -75*d**2 - 1277. Let c(n) = -224*n**2 - 3834. Let s(o) = 2*c(o) - 7*k(o). Differentiate s(m) with respect to m.\nAnswer: 154*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*b - 366520 = 0, 65*b - 91654 = -x + 62*b. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*l + 156*l + 17*l**2 - 7*l**2 - 309*l.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 4\/9 (c) -0.2 (d) 177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 4*r - 51, 2*h = 5*r - 60. What is the remainder when r is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*o + 17. Let l = o + 7. Let n = l - -3. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61791782 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 8 + 2*p - p)*(0*p + p + p + (1 + 4 - 3)*(0*p - p + 3*p) + 2*p - 3*p + 3*p - 438 + 438 + 71*p) in the form u + a*p + h*p**2 and give h.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318021.226 rounded to the nearest ten?\nAnswer: 318020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(125) - (sqrt(125) + 2 + sqrt(125) + sqrt(125)))*-1 + -1)*-5)**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2, q: 13}. What is prob of picking 1 q and 1 n?\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0262445 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 2*h + 1. Let c be g(1). Sort 2, -0.4, -0.08, c in ascending order.\nAnswer: -0.4, -0.08, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 98*d**2 - 64*d - 23. Give h(32).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let v(m) = -m**2 - 2*m - 4. Let o(w) = 6*g(w) - v(w). Let u be o(-6). Let a(q) = -q + 1. What is the units digit of a(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1\/16, 3\/8, 2\/19, -4\/23?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 31 (b) 1 (c) 9\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nel when three letters picked without replacement from {l: 2, n: 4, e: 1, w: 1, i: 3}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 717916.75 to the nearest one hundred.\nAnswer: 717900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/15*5\/(-1). Let a be 2 - (5 - 5)\/(2 + -4). Let x(r) = -r**g + 2*r - 2*r**2 - 1 - a*r. Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16080 and 11035?\nAnswer: 35488560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.32517 - 0.17483. Let p = -5 + 3. Which is the second biggest value? (a) -5 (b) o (c) p (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5861, 23454, 52775, 93824, 146601?\n\"Answer: 5864*u**2 + u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**3*o + 4*f**3*w + 6*f**3 - 3*f**2*w - 7*f + 2*o*w + 10*w wrt f?\nAnswer: 24*f*o + 24*f*w + 36*f - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -54. Let v = z - -34. Is 16 a factor of v\/25 - 324\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1)*p*p)**(-3\/5))**(-1\/2)\/((p\/p**(2\/5))**11)**(-37) assuming p is positive.\nAnswer: p**(2451\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 - (-11 - 0)) + (555 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 times -9\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2462570*h**3 + 1262135*h**3 - 4628318*h**3.\nAnswer: -5828753*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/4)\/((-6)\/(-16)). Let s be (-161)\/(-207) + (1 + (-5)\/15)\/3. Let n = 5 + -10. Put s, y, n, 0 in ascending order.\nAnswer: n, 0, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 + 32*f**2\/9 + 730*f\/9 + 232\/3.\nAnswer: -2*(f - 29)*(f + 1)*(f + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172377593.\nAnswer: 172377593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4382040 in 0.2, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - -1) + 5 + 40 + -44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**4 - 2*c**3 - 134*c**4 + 68*c**4 - 101*c**4 - 29*c**4 - 58*c wrt c.\nAnswer: -2496*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49\/5 of a tonne?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 259350380 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 11*j + 5. Let k(n) be the third derivative of n**6\/120 + n**4\/4 + n**3\/2 + n**2 + 381. Give -5*k(b) + 3*w(b).\nAnswer: b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4816, 9991, 15166, 20341, 25516?\n\"Answer: 5175*y - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.1 - 12. Let j = 55\/26 - 8\/13. What is the nearest to a in -2, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 5 (c) 99\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*c + 514*c - 17897 = -345*c + 16789 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -496, 3, 45, 4, -7 in increasing order.\nAnswer: -496, -7, 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22222022202 - -12?\nAnswer: -22222022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2 - -36 - 1. Let p = 27 - j. Let s be (-3 - -2)*-3 + 13\/p. Sort s, 2\/3, 4, -0.5.\nAnswer: -0.5, s, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7 + 3*u - 5*u + u**2 - 2*u. Let d = 6 - 0. Give p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2275 divide 273635195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 10*m + 17. Let w be q(-6). Sort w, 6, 0 in descending order.\nAnswer: 6, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 6. Let f(x) = -x**3 - 5*x**2 - 7*x - 1. Let b be f(-6). Let i = 17 - b. Let l be (-12)\/10*i\/18. Calculate n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*b + 5*j + 9, 4*b + 4*j = 0. Calculate the remainder when 25 is divided by (-5 - -5) + 14\/b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = 5*h. What is the common denominator of 19\/7 and (1 - 566\/(-16))\/h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 38 = -10*q. Let m(u) = -3*u**2 - 1. Calculate m(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6 - (-5 + 3909\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose 10*s + 7 = 9*s. Calculate the smallest common multiple of 1 and (s - -5)*-1*g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*x + 141. Let r = 36 - x. Suppose r*u + 2*i - 85 = 84, -5*i = 4*u - 223. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**6\/5 + 5*t**3\/6 - 5*t. What is the second derivative of m(b) wrt b?\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*-19*95408\/33820.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -104, -1\/138?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7 - 5*f - 13 - 4 + 18*f**2. Does 15 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**5 - 11848*p**4 - 4*p**3 + 2*p**2 + 4*p + 19232.\nAnswer: -180*p**2 - 284352*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**2 + 8*n**2 - 19*n**2.\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*d + 12, 20 - 8 = 3*u + d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 - 5*h + 6*h**2 + h**3 - h - 2*h**2 + 1. Does 7 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3\/5, -1\/8, -0.07?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*h - 2 + 312*h + 1 to the form w + a*h and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27354 + 27307.852. Let u = -46 - i. What is u rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 531895 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94598, 94604, 94612, 94622, 94634, 94648, 94664?\n\"Answer: r**2 + 3*r + 94594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 6*s**2 - 4. Let m = 212 + -202. Let j be (-20)\/30*(m - 1). Calculate b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p + 2*p. What is the tens digit of 1*24 + 0 + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**5\/2 - 129*l**4 + 471*l**3\/2 + 1404*l**2 - 1512*l = 0.\nAnswer: -3, 0, 1, 4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -16\/3 - l**2 - 49\/3*l = 0?\nAnswer: -16, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p + 113*p = 229*p - 68. Calculate the highest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 1, y: 3, a: 1, i: 3, c: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*c - 9*c - 17 = 0, -3*p + 3*c + 12 = 0. Let h be (50\/(-8)*-4)\/(p\/67000). Round h to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 4, a: 7, b: 2, q: 1}. Give prob of sequence qbg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2130 (base 4) to base 10\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434 - -443. What is the remainder when 186 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*(r\/(r**(-15)*r))\/r)*r*r*r**(-21))**(-22\/7))**(1\/11))**(-43) assuming r is positive.\nAnswer: r**(-2752\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7665 and 668920.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*s + 833*s = 14260 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 9)*3\/(-2). Factor 3*w + s*w**2 - w**2 - 10 - 3*w**3 + 0*w**2 + 8.\nAnswer: -(w - 1)*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 5*i + 3*i**2)*(5 - 2 - 4) + 10 - 698*i + 696*i + 2*i**2 - 1 + 1 - 1 + 4*i**2 to the form r + t*i + h*i**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 58*r + 64. Let f be v(-1). Solve -t + f = 5*i, 1 = 2*i + 6*t - 7*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = -101*s + 2001. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(2 + (-3)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r + 6. Let k be t(4). Suppose -2*c + 0*c + k = 0. Suppose -c*a = -0*a - 230. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -3 (c) 1.42 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119302409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m + 2039. What is c(-68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 4\/5 (b) -0.002 (c) 354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739.96g to micrograms.\nAnswer: 739960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-8)*(-3)\/(-9). Let n = 24 + -8. Let q(b) = b**3 - 17*b**2 + 17*b - 18. Let s be q(n). Are s and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 816945417 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -1334, -3127, -5774, -9353, -13942, -19619, -26462?\nAnswer: -34549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-9)\/21) + 29 + -32. Put -0.038, 0.5, -2, -0.12, m in descending order.\nAnswer: 0.5, -0.038, -0.12, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.2 (c) -21088 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2580876 rounded to three decimal places?\nAnswer: -12.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 15\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642264 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1578 + -1577.997714. Round y to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + (0 - -6 - 9) + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 43*g**2 + 166*g. Let j be y(3). What is the closest to -1 in -43, j, 5, -22\/5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 29\/3*d**3 - 8\/3*d**4 + 0*d + 19 + 2\/15*d**5 + 0*d**2 - 1\/360*d**6. Let x(a) be the third derivative of r(a). Factor x(z).\nAnswer: -(z - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**21\/u)**(13\/7)\/(u**(2\/29))**(2\/35) assuming u is positive.\nAnswer: u**(37696\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 3. Suppose -3*t = 5*w - 10, t = w - t - g. Sort w, -3, 2.\nAnswer: -3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3356341 + 5159553 - 10624*s + 1754198 + 3973728 - 135148 + 2*s**2 = 0.\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.6 + 9.653. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/9 - 4\/12. Solve 2*c + 3*s + 2*s + 19 = 0, 0 = 3*c + s - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 15 + s + 11 to n + b*s and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -0. Let h(r) = 6*r**2 + 3*r + 2. Let t be h(m). Let o be (t\/5)\/((-2)\/10). Which is the biggest value? (a) 2\/3 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-288)*6)\/(3\/(-8)). Let u(f) be the first derivative of 8\/3*f - 1\/2*f**4 + f**2 - c*f**3 - 33 + 2\/15*f**5. Solve u(t) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -585469*t**2 + 162*t - 336.\nAnswer: -1170938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 + 13203332330?\nAnswer: 13203331130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/395 and -13\/158.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3550*h**2 + 97*h + 605. Is d(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {a: 1, n: 1, v: 2, y: 1, s: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/5 + 9348*v\/5 + 10923138\/5 = 0?\nAnswer: -2337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/126570 and 109\/30.\nAnswer: 126570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d. Let r(z) = 2*z**3 - 6*z. Let m be (-52)\/676 - (-24)\/(-26). Calculate m*r(h) - 3*u(h).\nAnswer: h**3 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4916\/7 + -31452\/77. Let m = -294 + d. Let u be ((-4)\/10)\/((-12)\/10). Which is the third smallest value? (a) m (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0 + 0*r**3 + 0*r**6 + 0*r**7 + 0*r**4 - 13\/20*r**5 - 9\/112*r**8 + 0*r - 79*r**2. Find the third derivative of x(y) wrt y.\nAnswer: -1620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 590812, 1181612, 1772400, 2363176, 2953940?\n\"Answer: -6*g**2 + 590818*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357783 is divided by 785846?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.22386 hours to microseconds.\nAnswer: 112405896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 93?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896) - -3*sqrt(896))*1)\/((sqrt(7) - sqrt(112)*-3) + sqrt(315)\/sqrt(5)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + sqrt(180) + 0 + sqrt(180)*1 + 2 + -3*(-1 + sqrt(180)))*2)**2.\nAnswer: -432*sqrt(5) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206 + -206. Solve 4*q + k = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/35*2)\/(-1*(-15)\/25)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 11*n**2 + 133*n - 1461. Calculate t(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -288 + 3981. Let k = 8533 - 9681. Let d = r + k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 1.1. Let r = -1 + u. Suppose -g + 6*g = 5. Is g less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*32\/48.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8763336 tonnes?\nAnswer: 876333600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4056 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3222 - 2815. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*u**3 + 3*u**2 - 126*u**3 + 252*u**3 - 3*u**2.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 23\/2 + 12*s**2 - 1\/2*s**4 - 11*s**3 = 0 for s.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*p = -3*x + 7, 4*x + 5*p = 17. Suppose 4*t + 3 = 5*o, 6*t + x*o - 21 = 2*t. Solve 7 + 8 = -t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**2 - 196*o + 444. What is t(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/22*1*3*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-267 - -266) + (4 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110535 and 75.\nAnswer: 552675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide (684\/(-45) + 14)\/((-6)\/20145)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 10*y**2 - 6*y**2 + 2*y**3 - 2 + y**2 as x*y**2 + t + z*y**3 + r*y and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -4.85781\nAnswer: -1.457343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-9\/4)*d)*(d**(-4)\/d)\/d)**(-1\/19))**(2\/91) assuming d is positive.\nAnswer: d**(1\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (9\/27)\/((-3)\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17594 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: Two letters picked without replacement from mmullmuslhwwlm. Give prob of picking 1 l and 1 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2255\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {j: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 663, 1285, 1909, 2535, 3163, 3793?\nAnswer: 4425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5*p**2\/2 - 16. What is v(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 41*i**2 + 48*i**2 + i**3 - i - 3 - 5*i - 86*i**2. Let q be h(-4). Solve q*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/838824 and -61\/62.\nAnswer: 26003544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849 times 3.196?\nAnswer: -5909.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221210212011 (base 3) to base 16.\nAnswer: -7c069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192060 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9074, -17160, -25242, -33320?\nAnswer: -41394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2 - 3*n + 0*n**2 + 2 + n**3 - 3*n**2. Suppose -4*y - 11 = -31. Suppose -31 = -y*l + 4*s, 4*l - s = 3*l + 7. Give o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let j(r) = -r + 1. Let n be j(2). Let c(m) be the second derivative of 2*m**3\/3 - m**2 + m. Let s(u) = n*c(u) + 3*f(u). Give s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 5*g**2\/2 - 3*g + 2. Let t be p(4). Let y = 84 - -18. What is the highest common factor of t and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 3*g + 16. Calculate c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 3*c + 19*c - 34*c - 4. Calculate y(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-4*f - 2*f + 3*f) + 193*f + 89*f - 13*f in the form m*f + h and give m.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44432, 44433, 44434, 44435, 44436, 44437?\n\"Answer: y + 44431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*t + 2*r + 2 = 135*t, -3*t = -r + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/2 - (-1 - 1). Let t be g\/(-2) - (-2 - 0). Suppose 5*m - 18 - t = 0. Solve -5*o = q + q - 10, -10 = -m*o + q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**6\/30 - l**5\/30 - l**4\/24 - 5*l**2. Let v be c(-1). Suppose -v*d = -2*d - 23. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-2))\/(-36))\/(10\/30)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27\/81*(0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 0 - 24. Find the third derivative of 69*c**2 - 77*c**3 - 67*c**v + 9 + 7 - 6 wrt c.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1224 divide 752741640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 1. Suppose 2 = z, -2*n + 10*z - 5*z = 6. Let i(s) = 5 + 3*s**n - 2*s + 1 - 2*s**2. Let m be (34\/(-9) + (-12)\/54)*1. Calculate m*j(x) + i(x).\nAnswer: -3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-72) + -1*(-2)\/8. Suppose a = -15*x + x - 588. Is x at most as big as -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8072, -15588, -23102, -30614, -38124, -45632?\n\"Answer: s**2 - 7519*s - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5337*i**3 - 3*i**2 - 3*i + 72526 wrt i.\nAnswer: -32022*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -aa7b?\nAnswer: -aa82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 + 14909*a + 29809. Give j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12551562 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -9*m + 2566 - 337, -2*x = 6. Suppose -5*h - b = -414, 5*b - 344 = -4*h + b. Calculate the greatest common divisor of h and m.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00157721 to 5 dps.\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/3 + 1)*(0 - -1). Factor 1\/3*m + n*m**2 - 1\/3*m**3 + 0.\nAnswer: -m*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0 - 2*q - 1 + 33*q**3 + 18*q**3. Let c be m(-2). What is the common denominator of 69\/10 and (-576)\/c + 4\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*k + 366*k + 9 + 15 - 9 in the form t + b*k and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 + -145. Let i be 3\/7 + (192\/7)\/r. Solve 2*h + 4 = 2*t - 0, 28 = 4*h + i*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a century in months?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k**2 + 3*k + 3. Let j be (4 - (11 - 6)) + 0. Determine v(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s*u**3 - 14355*s*u**2 + 61*s - 6397484*u**3 wrt s.\nAnswer: 3*u**3 - 14355*u**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51038986?\nAnswer: 2, 179, 142567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65934371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55.61156t?\nAnswer: 55611.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -69. Suppose -6*v + 3*v + 216 = 0. Calculate the greatest common factor of v and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/3 + 5*i**4\/24 - i**3\/6 + 57416*i**2. Let h(l) = -4*l**2 - l. Let a = -17 + 6. Determine a*h(z) - 2*m(z).\nAnswer: 4*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138527557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -5*f + 3*y, 11*f - 3*y = 8*f - 69. Let z(q) = -10*q - 224. Let b be z(f). What is the greatest common divisor of b and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) 215\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-38.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + (-6 - (-5 - (6 + -5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152 in 4\/7, 3, 16?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2010)\/(-60))\/(154\/88*(-6)\/(-21))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1586748 - 1470915880\/927. Let m = -8\/103 - p. Factor -2\/9*i**2 - 2\/9 - m*i.\nAnswer: -2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 4*f - 45. Let o be h(-6). Suppose o*v = 173 + 1177. Calculate the least common multiple of v and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-26)*x*x*x\/x**(-9))\/(x\/x**24*x**(-7)\/x) assuming x is positive.\nAnswer: x**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 412972499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-9 - -4 - (2 - 3)) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 5 = 2*c. Let r be (-10)\/(-15)*c\/(-4). What is the biggest value in r, -1, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/4 + 5\/(-20). What are the prime factors of 3*k\/((-9)\/(-57))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 - 281?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4379994 + 6)\/(4\/(-24)). Round h to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/21)\/f*f*f\/f**(-16)*(f**(-3))**(-13))**(2\/17) assuming f is positive.\nAnswer: f**(2356\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -71ba2?\nAnswer: -71ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (105\/2695)\/((-2)\/(-22)). Let f = -992\/7 - -142. Which is the third biggest value? (a) f (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = a - 1, 5*a - 6313*m + 7 = -6317*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + q - 35. Let h be p(6). Suppose -h*b = -11*b + 44. Solve 5*a + 6 = b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.5. Suppose -2*v = -r - 2*r, -3*v = -4*r. Let g be -4 - (v + 296\/(-76)). Which is the closest to -0.1? (a) -2\/15 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-133)\/((-13965)\/585).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -38. Let q be 2 + -27*f + 0. Let u = q - -137. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -4 (c) 399.8 (d) 1\/9 (e) -1\/3 (f) 9\/2 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w\/w**(3\/7))*w)*w*w\/w**(-5\/7)*w assuming w is positive.\nAnswer: w**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.585999 meters?\nAnswer: 858.5999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85707 divided by -321\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/4)\/30)\/(370\/(-740))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**3 - 5945*n**2 - 1681910*n - 13077360 = 0 for n.\nAnswer: -738, -443, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b + 36 - 20*b + b**2 + 10*b. Let m be u(17). Suppose -5*s + 10 = 2*x, 3 + 1 = m*s - x. Solve -4*q - 14 - s = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**6*h\/h**(-8))**(-13)*h\/h**(4\/7)*h**(-8)*(h**7*h)\/(h*h\/h**(-6)) assuming h is positive.\nAnswer: h**(-1600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, 113, 212, 289, 308, 233, 28, -343?\n\"Answer: -6*k**3 + 43*k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51*1.4.\nAnswer: 0.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + 1)*3\/(-45)*-10. Suppose -v + 5*s + 16 - 20 = 0, -5*v + g = 3*s. Which is the second biggest value? (a) -20 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 - 3?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13442470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*t - 104*t - 126 = 0. Suppose o + 3*p - 7 + 66 = 0, 5*p + 173 = -3*o. Let y = o - t. Let n(s) = s**2 - 8*s + 9. Calculate n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 - 594*g**2 + g - 29. Calculate c(198).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-15))\/((-525)\/(-350))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d = 48*d + 1603. Suppose -d*x = -228*x - 115. List the prime factors of x.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 13*g**3 + 2*g**2 - 1 + 1.\nAnswer: -13*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -99, -80, -39, 30, 133, 276?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 6. Let l(p) = 4*p - 4. Let s be l(7). Suppose 0 = -3*u + s. Let t be n(u). What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4645 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.316 less than -19316364987?\nAnswer: -19316365003.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -332 and 9.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92220.93 millilitres?\nAnswer: 92.22093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*n**3 - 201*n - 68*n**3 + 201*n + (0*n**2 + 4*n**2 - 2*n**2)*(4*n + 2*n - 4*n).\nAnswer: -90*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1405719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 22. Suppose 2*d - 21 = -4*y + 3*y, d - 105 = -5*y. What is the remainder when (-844)\/f - 8\/28 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33131738 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -1\/36*p**4 - 1\/540*p**6 + 0*p**2 - 1\/90*p**5 + 0 - 1\/3*p**3 - 2*p. Let o(s) be the second derivative of w(s). Factor o(c).\nAnswer: -2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 - 10 = 0. Let i be (2\/x)\/(3\/(-15)). Suppose r + 4*r + i*a = 30, r - 5*a + 18 = 0. Calculate the greatest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/6630)\/(33\/66).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 14*w**2 + 928*w\/9 + 264.\nAnswer: 2*(w - 54)*(w - 11)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4717 (base 8) to base 14.\nAnswer: -cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-124)\/93)\/((-2)\/(-53412)*-1). Let i = 140392 + g. Round i to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10335289 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 + 4*f - 4. Let i(h) = -11*h**2 - 3*h + 3. Let o(x) = -4*i(x) - 5*p(x). Let c be o(-9). Which is greater: -31 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 6)\/(-4) - (-2)\/12\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137689 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239.1 + -211. Let r = q + -28.100000409. What is r rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 1959, 2, -1 in increasing order.\nAnswer: -2, -1, 1, 2, 1959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 5242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/18 and -55\/3908446.\nAnswer: 35176014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/36 - 256\/(-18). Solve 6*d + 5*k = d - 25, 4*d + 2*k + c = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:57 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 12*p - 6. Let m(s) = -s**2 - 14*s + 7. Let w(q) = 6*m(q) + 7*x(q). Let n(v) = -6*v**2 + 10*v. Give n(w(y)).\nAnswer: -6*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -2, -264, 0 in descending order.\nAnswer: 0, -2, -62, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 6, u: 3, c: 4, f: 2}. Give prob of picking 4 c.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a + -20049?\nAnswer: -200a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3237140, 3237142, 3237144?\n\"Answer: 2*f + 3237138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 14.2341 rounded to 1 dp?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35948 (base 15) to base 2\nAnswer: 101001101101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p**2 + 0*p - 2 - 2*p**2 + 2 + (-6 + 4 - 1)*(4 - 4 + 2*p**2) + 4*p**2 - 2*p**2 - p**2)*(1 + 4 - 3)*(-364 + 1052 + 450).\nAnswer: -11380*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 10*a**2 - a - 8. Let k be z(-10). Suppose 0 = 4*q - 8, -k*q - 16 = -4*p + 2*q. Is (-3)\/9 - (-92)\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198820 divided by 4\nAnswer: 49705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6945c - 98?\nAnswer: -694f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.594 + -3.406. Which is the third smallest value? (a) 69 (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 13*x - 53. What is p(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*j = 19*j - 75, 4*j - 15 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/((121\/(-9) - -13)*(-1)\/48). Is 6476\/5 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11703 or -11694?\nAnswer: -11694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3283771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3080 and -23\/32.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23325 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 + -13. Let a = 185 - s. Solve 2*f = a*f + 2*z - 8, 0 = -4*f - z + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229526 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3341*i*u**3 + 110*i*u + 4*i wrt u?\nAnswer: -20046*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 15*x - 63. Suppose -2*q = -4*o + 88 + 62, -x*o + 5*q + 87 = 0. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18052666, 18052667, 18052668, 18052669, 18052670, 18052671?\nAnswer: 18052672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -90, -150, -278, -498, -834, -1310, -1950?\n\"Answer: -4*w**3 + 2*w**2 + 6*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3*(-5)\/(-6))\/(-6))\/((-318)\/(-424))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86321, -86400, -86531, -86714, -86949?\n\"Answer: -26*j**2 - j - 86294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = 3*f. Let k = f + -3. Suppose k = -5*i - 4*h + 6, -5 = -2*i + i + 3*h. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 181?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*k = 93874 + 16103, -4*k = 4*b - 87996. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(45\/6)*6. Which is greater: -8\/3 or a?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 4*x**2 + 2*x + 17. Let q be v(1). Suppose -6 = s - q. Solve 2*f - s*f = 4, -3*z - 3*f + 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkoga. What is prob of sequence kgo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 29 = -9. Let u = -7 + l. Let o be 7\/14 - 7\/u. Solve o*h = 4 + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 11*y - 31*y.\nAnswer: -39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 223, 243, 267, 295, 327?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/94230 and 79\/848070.\nAnswer: 848070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g = -2790 - 1781 + 977 - 359 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/15*3*(-3735)\/2988.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 192*g**2 - 2304*g.\nAnswer: -4*g*(g - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4*x**5\/5 - 16*x**4 + 236*x**3\/3 + 32*x**2 - 240*x + 786. Solve z(y) = 0.\nAnswer: -1, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3\/15 - 1\/(-5). Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14780 and -230556?\nAnswer: 215776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: What is the units digit of 3329955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 3*q**8\/112 - q**4\/4 + q**2. What is the second derivative of s(y) wrt y?\nAnswer: 180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 44958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -483.761 - 1.839. What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 6*a + 10. Let k be h(-4). Let g(q) = 15*q**2. Let f(p) = 3*p**2. Give k*g(n) - 11*f(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2)\/a)**(-3\/14)\/(a\/(a**(-2\/19)*a)*a)**(-19\/2) assuming a is positive.\nAnswer: a**(153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 109, 383, 923, 1819, 3161?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*r**2 + 7703*m*r - 4384*r**4 wrt r?\nAnswer: -4*m - 52608*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 19, 0.5, 0.024, -0.5, -8, 3?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 + 9*y - 8. Let u be g(-10). Suppose v - u*v + 3 = 0. What is the third biggest value in 0.04, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8363488 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072913 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.043 (c) -0.3793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 575790, 2303144, 5182068, 9212562, 14394626?\n\"Answer: 575785*r**2 - r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49547?\nAnswer: 49547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 68*u + 0 + 69*u + (u - 2*u + 0*u)*(4 + 4 - 6) + 16*u + 9*u - 27*u.\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 2704a7b?\nAnswer: 2704a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-11)*(a**(-5\/4)*a)\/a*a**(-2\/5)*a\/((a*a**9*a)\/a))**43 assuming a is positive.\nAnswer: a**(-17759\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 + 9*a - 3*a + 2*a + 2*a + (5*a - 3*a + 0*a)*(0 + 3 - 1) - a + 0*a + 3*a + 0*a - 2*a + 0*a in the form f*a + w and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/10*-7*(-35)\/(-49).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 - -97. Let n = d - -29. Let r = -11.999998 - n. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -47)\/((-6)\/4). Let w = 32 - h. Suppose -x + 15 = -0*x + 3*m, -w*x + 44 = -4*m. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 26, 2, -37\/81, -198?\nAnswer: -37\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*g**6 - 15*g**4 + g**2 - 115*g - 1?\nAnswer: -4920*g**3 - 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72813, -145555, -218321, -291123, -363973, -436883, -509865, -582931?\nAnswer: -656093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s\/(s*s\/(s**5\/s)))))\/s)\/(s*s**(-12)*s)*(s*(s\/(s\/(s\/(s**(-1)*s*s))))\/s)**(25\/2) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 2*z - 3, 12927*z = 12932*z - 10 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4032 (base 9) to base 10\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19 + -13)\/((-3)\/(-4)). Are 9 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -15. Find the first derivative of -32 + 22 - z*w**2 - 2*w**2 wrt w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 32. Let d(x) be the first derivative of 98*x**2 + 3*x**5 + x**v - 98*x**2 + 9*x - 38. What is the first derivative of d(z) wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -2. Let v = -2 + n. Let u be ((-15)\/18)\/((-15)\/(-9)). What is the third biggest value in v, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1041.2 - -1041. What is the nearest to 3 in v, 3, 0.3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 10) + -33 + -1 + (62 - 8)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1633*f - 86670. Give n(-53).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/66810 and -4\/13581.\nAnswer: 302448870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 77*j**2 + 192*j - 32. What is the remainder when t(-80) is divided by 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -235\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-9 - -27)) + 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(-u + 4*u - 4*u)*(-u**3 - 5*u**3 - 6*u**3).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - (-24)\/10. Suppose -3*y + 7 = -2, 4*c = -2*y + 14. Solve 3*p + 14 = c*j, 0 = p + 6*j - b*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/(-7*18\/6059655) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h - h**2 + 10*h - 3*h - 3 + 2. Let x be l(-1). Which is the closest to 1? (a) -1\/6 (b) x (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2. Suppose 5 = o + 7. Let f be (12\/40*10)\/(-1 - -7). Which is the closest to r? (a) f (b) o (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -3. Let j = 31.5 - 31.4. Let p = -1.8 + 2. Which is the smallest value? (a) j (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 1. Suppose 11*t - 200 = 3*t. Suppose 4*j - t = -5*p, 0 = 5*j - p - 3 + 8. Put j, 3, c in increasing order.\nAnswer: c, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 351*m - 348.\nAnswer: -3*(m + 1)*(m + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.862096 rounded to two decimal places?\nAnswer: 50.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*m**2 - c*m + 834*c - 6*m**2 + 2*m wrt m?\nAnswer: -4*c*m - c - 12*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 48. Suppose 884 = j*y - 3199. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**13\/((p*p**(-1\/7)*p)\/(p\/(p\/(p*p**(-8\/5)*p))*p)) assuming p is positive.\nAnswer: p**(391\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l**2 - l**2 + 5*l**2)*(2*l - 3*l + 0*l) + (-l**2 + 4 - 4)*(-131 - 431 - 164)*(0 + l + 0) in the form w*l**2 + v + b*l**3 + m*l and give b.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 = 5*y, y + 3 = -v - 2*y. Suppose v*g = -2 + 53. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 57\/43, -5, 3, -3\/2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r - 2*p - 1, -p + 4 = 2*r. Let g(b) = -b + 5. Let n be g(r). Let l(w) = -6*w**2 - n*w + 5*w**2 + 2*w. Let v(d) = 8*d**2. Calculate v(l(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1\/16, -2\/5, -0.3, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p - 2. Suppose -4*m + 4 = -3*m. Let l(v) = 5*v - m + v**3 - 3*v + 1. Suppose o = -3*o - 5*n - 19, -26 = 4*o - 2*n. Calculate o*t(b) + 4*l(b).\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 4*j - 2*j + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3354980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232 a factor of 5486256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-20) + 0)*4. Suppose -l*i + i = -6, -5*i + 7 = -4*q. Suppose -89 = -g - 2*d, q*g = 5*g - 3*d - 303. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**5 + 2*f**3 - f**5 + 3 - 5 + (3*f**2 - 2 + 2)*(2*f**3 - 2*f**2 + 2*f**2).\nAnswer: 12*f**5 + 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -0.715277?\nAnswer: 0.07868047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3164 or -3407?\nAnswer: -3164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -790*-2.\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 5:28 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 847759349 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjy when three letters picked without replacement from {k: 1, d: 4, x: 3, y: 6, i: 3, j: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922865 at most 1922841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -23. What is the highest common factor of 96 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 595596 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 239*h**3 + 94660*h**2 + 6333*h - 1174. What is l(-396)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*u - z, 5*u - z - 4*z = 5. Suppose m - 1 - u = 0. Solve -2*c + 5*d + 16 = 0, m*c + 3*d = 7*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 7*n + 7. Let w be s(5). Let k be w\/18 - 166\/12. Is -2 - k*14\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 7*k**4\/20 + 22*k**3\/5 + 18*k**2\/5 - 5*k. Factor x(m).\nAnswer: 3*(m + 6)*(7*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3999000 to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6043.967 - 6041. Let o = -0.033 - z. Let m = o - -5. Which is the closest to -1\/2? (a) m (b) 2\/5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96052615*f**2*v - f*v + 23528666*v wrt f?\nAnswer: 192105230*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0047883525 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*i + 170, -w - i - 19 + 63 = 0. Suppose 40 = 4*n - q, -5*q - 15 = -4*n + w. What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38553*n = 37317*n - 18540 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**2 - 6*g**2 + 4*g**2 + 10*g**5 wrt g.\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/3*(-333)\/(-6993)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let o(d) = -d**3 - 4*d**2 - 5. Let w(a) = 2*a + 4. Let l be w(-4). Let p be o(l). Let y be b(p). Solve -3*h + 1 = 3*v + h, -5*h = y*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/4574593 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.306323 millennia in years?\nAnswer: 1306.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = -p + 3*s, p = -2*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877483304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154628 - 154628 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6376 + 7734. What is the remainder when s is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/4))**(-5\/7)\/((g\/g**(-9))\/g*g**(3\/11)\/g))**(-44) assuming g is positive.\nAnswer: g**(2823\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 19, 14, -5, -38?\n\"Answer: -7*c**2 + 30*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 51941, -2, 3 in decreasing order.\nAnswer: 51941, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1188486 by -351.\nAnswer: 3386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o - 11. Suppose 4*k + 4*t - 1 = 15, 4*t = 5*k - 11. Calculate the remainder when 64 is divided by q(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -28. Suppose j - 13 = 2*p. What is the greatest common divisor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 43 = -d + 3*a, -3*d + 5*a + 62 = 0. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.6*707.\nAnswer: 6787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 10*w**2 - w + 5. Let r be l(-10). Suppose 0 = 67*y - 351 - 51. Solve u + r = y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.21589 times -0.5?\nAnswer: 133.107945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 32 - 29 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(2 - 2*w**3 - 2) + (2 - 2*w - 2)*(3*w**2 + 3*w**2 - 4*w**2) - 66*w**3 + 1585 - 1585.\nAnswer: -74*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-88)\/(-132) + 16\/3. Solve 4*y + 10 = -h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - ((0\/5)\/4 - 2). Let b(a) = a + 3. Let z be b(-8). Sort 2, z, w in descending order.\nAnswer: 2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z = 63. Let o(j) = -5*j**3 + 2*j**2 + j + 1. Let x be o(-1). Calculate the highest common factor of z and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142040669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 10*m - 2*m + 24*m. Let y = 3.3 - -0.7. Which is the third biggest value? (a) 7\/3 (b) y (c) m (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104\/42*33348\/(-36). Let s = a - -2290. What is the common denominator of s and -13\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence furr when four letters picked without replacement from {r: 3, u: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/15)\/((-2)\/(-5)). Let v = 6 + m. Solve v*y + 2*y - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 smaller than 622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6593 times 0.163\nAnswer: 1074.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 102?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 124*y = -639 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-61 + 17) - -79?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4 + 0 + 4 + 28*j - 10. Let m(k) = -k**2 - 9*k + 3. Let h(l) = -2*l**2 - 12*l + 4. Let n(r) = 3*h(r) - 4*m(r). What is n(d(i))?\nAnswer: -1568*i**2 + 224*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 2. Suppose 0*p - 138 = -23*p. Give w(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5944*n + 1182813. What is o(199)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 2 - 18*b + 13*b + 5*b**2 + 96*b**3. Let k(r) = r**2 - r + 1. Let w(y) = -d(y) + 6*k(y). Find the third derivative of w(f) wrt f.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -8*f + 87. Calculate the remainder when (-1 - 0)*(-38)\/(1 + 1) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 14) to base 5\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = s - 1033, 2*s + 3*s = -h + 5177. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 21. Let v be d(3). Solve z - 1 = -v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 - 6)*(-2*f + 4*f + 0*f) - 56*f + 299 - 299)*(3 - 2 - 2).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 3.05. Let u(g) = -9*g - 90. Let l be u(-11). What is the nearest to l in 2, 3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + f - 45 = 21*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24592991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(20\/4*(-16)\/80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -456 - -408 - (-33 - -51)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 2, s: 1, c: 1, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/15*(0 - 5). Let x = -22 + a. Let s(l) = l**3. Let v(m) = 9*m**3 - m**2. Let n(j) = x*s(j) + v(j). What is the third derivative of n(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 75130*t - 225397. Determine b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2394221, 2394222, 2394223, 2394224, 2394225?\nAnswer: 2394226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 1, f: 4, w: 6, a: 1, l: 2}. What is prob of sequence ila?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-669)\/18*-4*9\/6. Suppose -c - y = -2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307655.\nAnswer: 5, 7, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3038118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2509.1 - -2509. Let l = -3 + 0. Which is the closest to k? (a) 2\/5 (b) 0.9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6)*2*1\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448 a factor of 836675717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttvtttvtttt?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/(-280)*(-175)\/(-15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -2. Let i = s - 9.5. Let j = i - 0.8. Which is the third smallest value? (a) j (b) -2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(1092\/(-51))*14 - 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 13. Let u be x(-9). Let l = u + 21. Suppose -3*y - y = 3*g - 167, -3*g - l = -2*y. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 0.08674, -0.3, -3, -109, 1\/5?\nAnswer: 0.08674","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 62 = -2*t - 4*q, -5*t + 145 = 5*q. Let g = 27 - t. Suppose g*o - 2*d = -0*d, -4 = 4*o - 5*d. Solve 5*v - 29 = 2*y, -o*v + 2*y + 35 - 11 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 1.5. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/10181385 and 11\/59052033.\nAnswer: 295260165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, 3\/8, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Suppose 0 = -5*q + 5*k + 35, 3*q - d*k - 2*k - 25 = 0. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**5*i)))\/(i**(-5)*i*i))\/(i*(i\/(i\/(i*i**(1\/3)\/i)))\/i*i)**(-50) assuming i is positive.\nAnswer: i**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 95*j + 2. Let x(k) = -951*k - 21. Calculate 21*f(q) + 2*x(q).\nAnswer: 93*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 3, 36\/5.\nAnswer: -1, 0.3, 3, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 22*c**2 - 90*c - 4. Determine v(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.02, 0.5, -169, -0.05, 1\/3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112091077 and 490?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*i - 53 + 19, -2*f - 4*i = -4. Let m = 9 - f. Find the first derivative of 8*o**3 + 4 - 18*o**3 + 12*o**m wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 11*b**2 + 13*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 3*n**2 + 62*n - 152*n - 6*n**2 + 14*n**2 + 93*n.\nAnswer: 15*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Suppose -12 = -f + 3*f. Let m be (0 - -1)\/(15\/(f - -1)). Which is the third smallest value? (a) m (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2993, -2984, -2977, -2972, -2969, -2968, -2969?\n\"Answer: -v**2 + 12*v - 3004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 3655080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:53 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*a**3 + 276*a**3 + 64*a**2 - 16*a**2 + 8*a**4 - 87*a**3 - 90*a**3 wrt a?\nAnswer: 192*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q + 5. Let g be z(-6). Let s = -30 - -39. Solve 5*p - 9 = 2*t + s, -g*p + 20 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-38))**(6\/5) assuming c is positive.\nAnswer: c**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 16744229*s + 16744229*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdbgp. What is prob of picking 1 d and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43\/3, -8, -4\/5, -4\/3, 47?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1 + 9*f**3 + 1 - 2*f**2 + 0 + f. Let l(m) = -5*m**3 - 7*m**2 - 6*m - 10. Calculate the remainder when o(2) is divided by l(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from {a: 14, y: 2, z: 2, e: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -1213, -1827, -2445?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 21. Let c be r(19). Solve -4*b - 14 = 5*q - c, 0 = -q - 2*b + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*a - 4*l, 4*a - 4*l - 7 = -3. Solve 2*s + 4*j = 3 + 3, 0 = a*s + 2*j - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123122391*m**2*y**3 - 2*m*y**3 - 8873*m*y**2 - m - 324*y**2 wrt m?\nAnswer: -246244782*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4365356244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 4454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 22*j**2 - 23*j + 31. Suppose -493*y = -495*y - 46. What is i(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3))\/((-2)\/3). What is the third derivative of 3*m**2 + 2*m**6 - 4*m**w + m**6 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.98 - 19. Let m = t + -22.98. Let i = m - -18. Put i, 2\/9, -3 in increasing order.\nAnswer: i, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 62. Let z = -1531 - -1597. Let s = h - z. Which is the smallest value? (a) -4\/5 (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n)**(-27)*(n**0)**(-15) assuming n is positive.\nAnswer: n**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13928 and 19151.\nAnswer: 153208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let q(m) be the second derivative of 5*m**4 - 32 + 53 + 37 + m. Give b(q(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*y**2 - 3*m**2*y + 2*m**2 + 28810*m*y**3 + 3961*m - 5*y wrt y.\nAnswer: 4*m**2 + 172860*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 4)*(x - 1 + 1) + 0*x + 0*x - 2*x)*(184*x**2 + 743 - 743) to the form r*x**3 + w + y*x**2 + b*x and give r.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/12 - k**3 + 3*k**2 - 13*k. Let t be g(6). Let v(r) = r**3 - 4*r**2 + 4. Let d be v(4). Solve x - t = d*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8069136312 and -8?\nAnswer: 8069136304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1548, -235, 1942, 4983, 8888, 13657, 19290?\n\"Answer: 432*w**2 + 17*w - 1997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -87. Suppose 2*v + 5*f = 3, 8*f - 7*f = p*v + 3. Let y(l) = -l**3 + 2*l**2 + l. Give y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10998566 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*u + 300 = -194*u. What is the remainder when 134 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 2*m + 2. Let z be t(2). Let h = 71 + -89. Let g = -23 - h. Which is the second biggest value? (a) g (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 24*q - 189. Calculate m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5151 - -196?\nAnswer: 5337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:48 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, -6, -21, -36, -51, -66?\n\"Answer: -15*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 1. Suppose 0 = 5*x + 217 - 222. Give f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -9*o - 9. What are the prime factors of 2\/o + 572\/33?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12961 - -12977. Solve 0 = 67*j - p*j + 153 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*27\/(-54).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 5*i**2\/2 - 3*i + 51. Let a(n) = -120 + 109 - 96*n + 67. What is 3*a(t) + 56*x(t)?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 1. Let b(f) = -4*f**3 + 5*f**2 - 2*f. Let z(d) = -b(d) - 3*v(d). Let x be z(2). Let l = x - 12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 319 in decreasing order.\nAnswer: 319, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**3 - 6935*n**2 - 2330240*n + 52039680 = 0.\nAnswer: -704, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291302238 to the power of 1\/2, to the nearest integer?\nAnswer: 17068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 77*h**2 + 563*h - 1671. What is i(3)?\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -18 in descending order.\nAnswer: 1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1921586347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 28*w**3 + 32*w**2 + 64*w.\nAnswer: 4*w*(w - 4)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/2, 0.03, -25, -12\/19?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 308 * -616\nAnswer: -189728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**5\/20 + t**4\/4 + 2*t**3\/3 + 13*t. Let i be z(4). What is the common denominator of -11\/5 and 405\/40 + -2 - i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18351 is divided by 6078.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/9 + 60314*v\/9 - 60316\/9 = 0. Calculate v.\nAnswer: -30158, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((2 - 5)*14\/18)\/((-10)\/120). Solve -6*d + o = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9516\/(-1170)*(-135)\/(-18).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -564*l**5 + 40*l**2?\nAnswer: -33840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3265580 divided by -5?\nAnswer: 653116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 5. Let r be (-1)\/i - 84\/(-20). Let t(y) = y**2 - 2*y + 1. List the prime factors of t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.0942 (c) -2 (d) 8 (e) -4 (f) -0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 5:43 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + z - 2. Let o(f) = -f**2 + f. Suppose 2*a + 2*y - 14 = 0, 29 = 2*a + 9*y - 4*y. Determine a*o(l) + m(l).\nAnswer: 2*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33103 (base 4) to base 15.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4) - 1)*6. Suppose 2*j - 77 = -61. Solve 0 = f - 5*m - 10, a*m = j*m + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 0)*1845\/2460?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:42 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -31, -90, -203, -388, -663, -1046, -1555?\n\"Answer: -3*p**3 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 73\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33, 26, 85, 144?\n\"Answer: 59*t - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4917096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11444 or 7?\nAnswer: 11444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a**4 - 2)*(0 - 9*a + 7*a - 4).\nAnswer: 2*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/9*(22\/80)\/11*(-168)\/(-126).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 454*m**2 - 289*m + 75016. Give x(-455).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 - 2163*v - 15092 = 0 for v.\nAnswer: -2156, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 79*x + 22*x**4 - 87 - 29*x + 46. Differentiate u(s) wrt s.\nAnswer: 264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3412, 6824, 10234, 13642, 17048, 20452?\nAnswer: 23854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 189a5 (base 12) to base 13\nAnswer: 134ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p - 13007 = -12447 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 110. Calculate the greatest common factor of s and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.769 - -0.2.\nAnswer: 7.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5612 + -4?\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-29)\/3)*18\/(-4). Let q = f + -22. Let a(t) = 40*t**3 - t**2 + t. Let i be a(1). What is the highest common divisor of q and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/41670 and 32\/243075.\nAnswer: 1458450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1700)\/175*294\/84.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46026968.\nAnswer: 2, 13, 19, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = 3*p - 553, -p + 188 = 2*h. Find the second derivative of 49*m + m**5 + 12*m + 50*m**4 - p*m**4 - 20*m wrt m.\nAnswer: 20*m**3 - 1632*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - -8*1284\/2496. Let l = -41\/4 + 19\/2. What is the closest to -2\/5 in c, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/7 - 146*j**2\/7 + 480*j - 23400\/7 = 0 for j.\nAnswer: 13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2))**(1\/12))**14)**(3\/2) assuming m is positive.\nAnswer: m**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l - 1096. Give s(-85).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3586, 4361, 5136, 5911, 6686, 7461?\n\"Answer: 775*c + 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/5)\/(24\/60). Solve 10 = z*w - o, 3*o + 18 = 2*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 + 250.25. What is the closest to 2\/9 in -3, d, -0.3, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14)*((-7)\/(-7)*10 + -11)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a milligram in micrograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 116, 340, 746, 1388, 2320, 3596, 5270?\n\"Answer: 9*r**3 + 10*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19187719*p + 30120278?\nAnswer: 19187719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 5 (c) -2 (d) -24.18 (e) 0 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000101691 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 362 and 136688666?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92087, 92079, 92061, 92027, 91971, 91887, 91769?\n\"Answer: -b**3 + b**2 - 4*b + 92091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 80a23a8?\nAnswer: -80a23a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g**2 - g**2)*(-6 - 2 + 2)*(-6*g**3 - 4*g**2 - 2 + 7*g**3 + 1).\nAnswer: -6*g**5 + 24*g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 7. Let u(s) = 2*s**2 - 6*s. Let g(c) = 11*c**2 - 34*c. Let z(n) = -6*g(n) + 34*u(n). Calculate z(f(j)).\nAnswer: 8*j**2 - 56*j + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 - 10)*(2 - 4 + 1)*(-3 + 3 + 5*x) in the form l + h*x and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 - 0 - 96\/40\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f**5\/3 - 61*f**4 + 871*f**3\/3 - 15*f**2 - 3650*f\/3 + 1000 = 0. Calculate f.\nAnswer: -2, 1, 15\/7, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 85*f + 373 = -72, -y + 3*f + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -127*p**3 - 2*p**2 - 8*p - 110. Let u(m) = 128*m**3 + 3*m**2 + 10*m + 109. Let z(w) = 5*k(w) + 4*u(w). What is the third derivative of z(r) wrt r?\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.5 - 13.5. What is the second smallest value in -2\/5, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22967 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -174846022 divided by 87423011\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(-2) - 57\/(-114)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99189 - 99192.82536. Let q = r - 0.174. Let o = q - -4. Round o to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**12\/w))\/((w\/(w\/(w**(1\/13)*w)))\/w*w*w)*(w**14)**(-1\/22) assuming w is positive.\nAnswer: w**(-1818\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112503944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26166 divided by 6\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (101 - (-12033)\/(-119))\/(6\/(-68))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 98201 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237780665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 f, and 1 b when four letters picked without replacement from fqfqnqbnfbqqqqqfqql.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*o - 3*g + 36, -2*o + 3*g = -24. Let p be 0 - 4\/(o\/(-27)). Solve 4*j = 5*s + 12, s - 3 + p = -j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbebbeb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v - 24. Give b(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7*m + 83 = -4*m, 2*t - 158 = -2*m. Calculate the remainder when 307 is divided by t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -27 (b) -1 (c) -209 (d) -2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + 1 - -7. Let k = 4632 - 4627. Solve -g*t = -t + k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156555 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1678*c**4*l**3*x + 426*c**4*l*x + 3719*c**2*l**3*x - 5*c**2*l**3 - 2*c**2*l*x + 2*l**3 - 9*l*x wrt c?\nAnswer: 40272*c*l**3*x + 10224*c*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzyyydyzdh. What is prob of sequence yhd?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47729, 191565, 431293, 766913?\nAnswer: 1198425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 586, 1181, 1880, 2707, 3686, 4841?\nAnswer: 6196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:44 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 554 + -536. Find the first derivative of 76*q + g*q + 57*q - 45*q + 76*q - 178 wrt q.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-7\/3))\/k*k)\/k*k**(-8))\/(k**(2\/7)*k**2)*(k**(-1)*(k**(-7)\/k*k)\/k)\/(k**(-1\/3)\/k**(2\/3)) assuming k is positive.\nAnswer: k**(-335\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 92 = 2*b, 2*b + 37 + 96 = 5*k. What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*2)\/(-2)*50. Suppose -g = -5*b - c, 22 = 3*b + c - 10. Let u(m) = -m**3 + 9*m**2 + m + 11. Is u(b) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 12 + 10. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, -4, -0.042, -0.06, 18\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, i: 4}. What is prob of sequence qiq?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-25))\/(420\/1050).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731556353 to the power of 1\/2, to the nearest integer?\nAnswer: 52264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -2\/9, 2\/15, -417, 5, -2\/15, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose 3*y = -2*q - 2, s*q - 5*y - 15 = q. Suppose 2*m - 119 = -q*d, -3*d + 2*d + 27 = 2*m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1 - 6)*270\/(-36). Let o = -20 + r. Calculate the remainder when 98 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -8680291\/6?\nAnswer: -8680291\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716610690 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4150, 2\/11, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 3. Let b = -34 - x. What is the greatest common factor of b and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -1\/20*q**5 + 4*q**3 - 9*q**2 - 5\/6*q**4 + 0 + 18*q. Let w be c(-13). Round w to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.1 (b) 26 (c) 0.0391043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(132)*-2 + sqrt(132) - (sqrt(132)*2*-5 + sqrt(132))))\/(sqrt(1728) + 4*sqrt(1728) - (sqrt(768) - -2*sqrt(768))).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, 11, 1, -3 in ascending order.\nAnswer: -224, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 661.5 and 2460.\nAnswer: 3121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -834*m + 246007. Calculate h(295).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 30. Which is the nearest to -2\/3? (a) 3 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 278.39 - -32.91. Let i = -311.26771 + v. What is i rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (-3 + sqrt(833)) - (sqrt(17) + sqrt(612) + 3) - (1*(sqrt(17) + 3*sqrt(17)) - ((sqrt(17) - sqrt(17)*1) + 1)))**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:56 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 5, 0 in increasing order.\nAnswer: -65, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -163.9357\nAnswer: -163.8357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + (21 + 4 - 34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164658 + 613052. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 62882238468429.\nAnswer: 62882238468428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*t - 9, 5*t - 7 - 2 = -o. Let q be 1*(4*o)\/(-4). Is -1*(q + 10\/(-2)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78134706 rounded to three dps?\nAnswer: 0.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80782176*z - 40391079*z - 40391106*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0)*(-4 - -6) - -3. What is the nearest to 0.1 in m, 2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*408\/756 - 4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*x**3 - 27*h*x**2 - 12621*h*x - 32*x**3 wrt x?\nAnswer: 6*h*x - 54*h - 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -11?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 250671215 divided by -6\nAnswer: -250671215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 0, 4*m - 48 = -11*a + 7*a. Solve i + 7 = 3*n + 2, m = 2*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - 1510452*t - 132950752 = 0.\nAnswer: -88, 377701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020113 times -0.1?\nAnswer: 0.0020113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 163*k - 166. What are the prime factors of f(29)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -29. Suppose u - 34 = -3*b, -j*b = u + 8 - 54. What is the smallest common multiple of (-2)\/(-3)*3 + 4 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - 7) + (-363)\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 115*u**2 + 11*u + 22. Let g(o) = 23*o**2 + 2*o + 4. Let m(b) = -2*f(b) + 11*g(b). Let l(z) = -z**2. Calculate l(m(r)).\nAnswer: -529*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171266 = -6*u - 171116 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -27) + -37 - -28.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 77 + 90 = 4*r, -r - 8 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (31 + 18 + -28 + 11).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 3*h + 8. Let p be g(2). Let o = 212 + -137. Suppose -4*l - o = l. Does p = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 12\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 120 - 106 - 5*y**3 - 189 - 6*y**3.\nAnswer: -11*y**3 - 415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*a + 54. Is (-816)\/a + 4\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v + 5*v**2 - 4 - 3 - 6*v**2. Let z be g(-6). What is the tens digit of (-2)\/z - (-87)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6)*(-8)\/10244. Let b = h + -122961\/28171. Let f = 53\/120 + -1121\/120. Calculate the common denominator of f and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 566840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7809424*s**4*u**2 + 7191*s*u**2 + 2*s + 93*u**2 wrt s.\nAnswer: -93713088*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 449*d**2 + 47251*d - 2685. Calculate i(-537).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f**4 + 0*f + 26*f**2 + 1\/6*f**6 + 2\/15*f**5 + 0 + 0*f**3. What is the third derivative of q(b) wrt b?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/5))**(-10)\/(n**(4\/11)*n**(2\/17)) assuming n is positive.\nAnswer: n**(1032\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from adzwpawpadaw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*r - 798 = 0, 4*z - 7*z = -5*r + 1207. Let y = z - -413. Solve y*b - 6 = 7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let l(v) = 2*v**2 - 5*v + 3*v - 2*v + i*v. Let c be l(2). Solve -c*b + 1 = 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*5\/45)\/((-12)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1030408 and -83\/16486528?\nAnswer: 16486528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m*m)**(-6)\/(m**(-1\/3))**(-4))\/((m**(8\/5)*m)\/m**(-3\/8))**12 assuming m is positive.\nAnswer: m**(-1291\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1022?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3*i - 3*d = -35, 2*i - 3*d = -7. Let z be (i\/(-6))\/((-10)\/15). Is z less than 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 894 and 6.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 5*b**4\/6 - 3*b**2\/2 + 4*b. What is the derivative of o(p) wrt p?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/3 or 3805631?\nAnswer: 3805631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1516801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871387 is divided by 34855.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125, 140, 181, 260, 389, 580, 845?\n\"Answer: 2*r**3 + r**2 - 2*r + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from {t: 5, o: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 26. Let n be k(7). Let u be 1\/(n\/2 + (-20)\/12). Let h = -49 - -57. Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/20 + 18\/45. Which is bigger: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -349 + 349 + 73*n as h*n + f and give h.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51820572 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038687 is divided by 259671.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*d - 2673, -2*m + 341 + 723 = -d. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -655 (c) 0.9 (d) -0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1628, -5 in descending order.\nAnswer: -5, -30, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16776.5764 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -60. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 1 + 1)*(47*y - 137*y - 20 - 192*y) in the form v + z*y + g*y**2 and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53601 + 1929769\/36. Calculate the common denominator of -57\/8 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + -5.8. Let r = g - 1. What is the nearest to r in -2, -0.3, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 28*t**5\/11 - 18*t**4\/11 - 1042*t**3\/11 - 1442*t**2\/11 + 30*t\/11 + 476\/11 = 0.\nAnswer: -34\/7, -1, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141955628*m - 173374635.\nAnswer: 141955628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -2*f**7\/105 + 17*f**6\/30 - 27*f**5\/5 + 7*f**4\/6 + 980*f**3\/3 + 951*f**2. Let q(p) = 0. Calculate p.\nAnswer: -2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/2749?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/13*j**2 + 2\/13*j**3 - 32\/13*j - 128\/13.\nAnswer: 2*(j - 4)*(j + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 6, u: 3, p: 7}. Give prob of picking 1 p, 1 k, and 2 u.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.3 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 56 = 5*v - 106, -4*v = -5*s - 105. Suppose -5*x + 4*x = -v. Calculate the remainder when 207 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-459) - (-1067)\/14586*2)*(1 - 4)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 4*h + 6. Suppose -4*q + 10 = -2*u, 5*u = -q + 4*u + 7. Let s be ((-14)\/q)\/((-2)\/4). Suppose s - 25 = -3*i. Determine a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + 4. What is the units digit of ((-20)\/3)\/(4\/w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17684 and 17685 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2365227207 and -0.4.\nAnswer: 2365227206.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96375.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/3 + 2*g**3\/3 - 3*g**2\/2 - 5*g + 2. Let k(c) be the first derivative of j(c). What is the tens digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**4\/6 + m**3\/6 - m**2. What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (1*-3)\/3. Let m be ((-39)\/6 + 0)*g. Let k = m - -22. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/11)*s*s)\/s**(-1\/3)*(s\/(s*(s\/(s**(-1\/4)*s)*s)\/s*s))**(4\/19))\/(s**(3\/7)\/(s\/s**(-4\/3)))**(-22\/3) assuming s is positive.\nAnswer: s**(-159056\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -23375050174223?\nAnswer: 23375050174223.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 2*m - 46 + 145 - 49.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 equal to -134\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 7. Let o(d) = 20*d - 20. Determine 5*o(s) + 14*u(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12919558 to the power of 1\/2, to the nearest integer?\nAnswer: 3594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 24 = -2*k. Suppose -5*j + 35 = -5*b, -3*b + 0*b = -2*j + 20. What is the remainder when (-1)\/(-6) - 137\/b is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 - 2*t + 15. Let y be h(0). Let x be ((-3)\/y)\/((-36)\/20). Let d = 2.99 - -0.01. Which is the biggest value? (a) d (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -5 - (-3)\/(-3). Sort -9, 0, h.\nAnswer: -9, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h + 14. Let i(f) = -7*f + 5. Let y(b) = 8*i(b) - 3*l(b). Let q = 8 - 26. Let u be q\/12*(-4)\/3. Give y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 1216 = 3*t - 1219, 3 = -5*r - 4*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 9098?\nAnswer: 9097.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skt when three letters picked without replacement from kvsvnvkssvttvvvsnlv?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 - -2)) + 1636 + -1634?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28845400 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -600.6612913 + 0.1382913. Let r = h + 13.223. Let o = -563 - r. Round o to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 191794*x**3 + 6130759140*x**2 + 65321194922456*x - 65327325873392 = 0 for x.\nAnswer: -31966, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z + 20. Let w = 89 - z. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and 19\/113850.\nAnswer: 113850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u + 51*u - 1647 = 0. Suppose 0 = -u*a + 195*a - 60. Calculate the greatest common factor of a and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63116 is divided by 114?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 - 87*o + 87*o + 4*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 37\/5, 3, 50.5, -1?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17403.55 millimeters in nanometers?\nAnswer: 17403550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)\/(j\/(j*j**2)))**17 assuming j is positive.\nAnswer: j**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f24d3 (base 16) in base 3?\nAnswer: -12210222011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 802976 or 802981?\nAnswer: 802981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -923.\nAnswer: 184.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c = -97*c + 1 - 1. Solve 2*w - 5*o + 20 = c, -o + 8 = 5*w + o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -195, -294, -393, -492?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4420 > -4420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -2, 2\/13, 4\/63, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let x = -1 + m. What is the remainder when 8*(x + 5)\/6 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30021 is divided by 4787?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/6 + d**3\/3 - 2*d**2 - 3*d. Is 6 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000173257 rounded to six decimal places?\nAnswer: -0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*x + 7 + 7 = 0, 0 = 3*n + 4*x - 11. Let h be (-3)\/n - (-175)\/50. Which is the nearest to -2\/9? (a) 1 (b) h (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-405)\/(-90) + 3\/(-2). Let u(o) = -5*o**3 - 8*o**3 - 5*o**2 - 11*o**v + 25*o**3. What is u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-14)\/(-21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from rrrmqrrmrqrrmrrrmmm.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, j: 3, r: 2}. What is prob of sequence jmrj?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 0.1, -10, -1, 64?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433354 (base 8) to base 3.\nAnswer: 21101002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/7 - 8\/28. Suppose -5*f + 10 = 3*a, 5*a + 4*f - 8 = a. Suppose -v*b + b = a. Solve -4*w - h = 18, -3*h - 14 = -b*w + 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s + 25 = t + 63*s, -4*s = 2*t - 40 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3003370 and 59\/19822242?\nAnswer: 99111210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 - 0. Suppose 0 = 9*d - 10*d + 4. Put d, 5, k in increasing order.\nAnswer: k, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 4 (b) -1 (c) -11 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25143 divided by 1648\nAnswer: -25143\/1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 28*d - 6. Let k(x) = 162*x - 43. Let g(c) = -k(c) + 6*p(c). Suppose 2*y - 3*y - 7 = 0. Let z(l) = -2*l - 2. Determine y*z(u) - 2*g(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.377153 centuries in years?\nAnswer: 237.7153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2773162499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + sqrt(684))**2 + sqrt(684)) + (sqrt(684) + -4)**2*-6.\nAnswer: -8358 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 347ea (base 16) to base 9\nAnswer: 356848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 0. Suppose -15 = -3*w - f, 2*w - 10 = -2*f + 3*f. What is the derivative of 1 - w + t + 2*k**2 + 3 wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y**2 - 13*y + 10. Let x(j) = -6*j**2 + 4*j - 3. Determine 7*x(h) + 2*z(h).\nAnswer: -2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 1 (c) -3926\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**2 + 60*o + 7. Let s(d) = -d**2 - 5*d - 2. Give m(l) + 5*s(l).\nAnswer: 4*l**2 + 35*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -37*x**5 + 26*x**4 - 12*x**3 - 12*x + 12. Let o(k) = 15*k**5 - 10*k**4 + 5*k**3 + 5*k - 5. Let c(z) = 12*o(z) + 5*y(z). What is v in c(v) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50301, -201210, -452727, -804852, -1257585, -1810926?\nAnswer: -2464875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.344 in 0, 5, -3, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v**3 + 124*v + 5. Let i(p) = -4*p**3 - 62*p - 2. What is 5*i(b) + 2*t(b)?\nAnswer: -4*b**3 - 62*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1987697 or -1?\nAnswer: 5\/1987697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*l - 22, -65*l + 66*l - 8*p - 73 = 0. Let s(j) = j**3 - 4*j**2 - 2*j + 3. Let m be s(4). Sort m, -3, 2, l in descending order.\nAnswer: 2, l, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*w + w + 2*w)*(2 + 5 - 3) + 2*w - w - 2*w)*(-2*w + 2*w - 2*w) + (15 - 16 - 14)*(-118*w**2 + 89*w**2 + 73*w**2) as h*w + y + d*w**2 and give d.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/60 - 2*p**5\/15 + 9*p**2. Find the third derivative of s(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -104\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 1 + 2 - 1.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*((1*(4*2*sqrt(2299) + sqrt(2299)) - (-3 + (sqrt(2299) + 0 + sqrt(2299) - sqrt(2299)) + -3)) + -3))**2.\nAnswer: 135168*sqrt(19) + 37669120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 22522300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - 0) + 10 + (83 - 87)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110220 (base 3) to base 15.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110102390 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:03 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877968 is divided by 469214?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 + 60*y**3 + 634*y**2 + 2664*y + 3240 = 0. Calculate y.\nAnswer: -10, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-653*(-34 - -33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/24 and 22925\/975 + ((-4)\/(-26))\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -81)\/((-2)\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/(-33) + 8\/(-165)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/sqrt(5) + sqrt(5) + 1 + sqrt(605).\nAnswer: 1 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1306*q. Let n(z) = -3038*z - 7. Determine p(n(a)).\nAnswer: 3967628*a + 9142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 45 = 6*p - p, 4*p = 2*b + 30. Suppose 2 - p = -3*d. Suppose -2*s = 4*t + 8, 4 + 6 = -d*t. Calculate the smallest common multiple of s and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 9 - 9 - 15 - 244*h**2 - 2*h**3 in the form o*h + d*h**2 + l + f*h**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 752 = 6*m. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -409, -817, -1225, -1633, -2041, -2449?\n\"Answer: -408*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2896*g**3 + 2974*g**3 - 59*g + 59*g.\nAnswer: 78*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j. What is j rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 204.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 0*f. Let w be 1848\/(-1155) + 2\/20. Put w, 3\/5, f in descending order.\nAnswer: f, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -0*r + 3*r - 5*y, 0 = 2*r + 5*y + 17. Suppose r*i + 3*j + 9 = 5*i, 0 = 5*i - 3*j - 33. Solve -i = -7*u + 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b + 33*b - 350 = -28*b. Let c be (-4)\/(-14) + 38\/14. Suppose -2*a - b = -2*z - 5*a, -3*z = c*a - 60. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 + 913*m + 18761. Give p(-21).\nAnswer: 3116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -187, -342, -483, -604, -699?\n\"Answer: y**3 + y**2 - 165*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88866051 and 30.\nAnswer: 888660510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -4*c + 13, -2*c = 4*a - 12. Suppose h = c*h - 18. Let q(s) = 2*s - 2. 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: Suppose -23 = 3*z - 35. Calculate the remainder when 87 + z\/6*3 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 88.99999953. Round f to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/13 - 4*x\/13 - 16\/13 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dgdwwdgggdgddgd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 3)*(0 + 2 - 4) + 4 + 1 + 2 - 4 + 6 - 4)*(2*w**4 - 4*w**4 + w**4).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3221130 (base 4) to base 6\nAnswer: -153100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*v + 40. Let d = -19 + v. Let n(h) = 7*h**3 - 3*h**2 + 4*h - 3. What is the tens digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 4, w: 4}. Give prob of picking 1 e, 1 y, and 1 w.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -1*sqrt(72))\/sqrt(6) - sqrt(84)\/(sqrt(28)\/sqrt(4)))\/(sqrt(6)*2*2*-6).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.022\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 + 14*f - 9. Let d = 23 - 18. What is the remainder when 30 is divided by a(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 2*w - 6. Let s be f(5). Suppose -s*y = -2 - 26. What is the units digit of y\/(-3)*-21 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + 16 - 12 + 10*g**2 - 6 to the form l + o*g + d*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Suppose a - 17 + r = 0. What is the highest common divisor of 84 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d - 1. Let n(z) = 3*z**2 - 5*z - 6. Let h(q) = q**3 + 4*q**2 + q - 4. Let y be h(-3). Let l(t) = y*a(t) - n(t). Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-5)\/3 - -2). Solve -j + 1 = -z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 11*f**2 - 4*f + 8. What is the tens digit of c(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. What is the units digit of 1 + g + (-7 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 2*t - t)*(0 - 4 + 2) + (-t - 4*t + 6*t)*(-6 + 5 - 8)*(-1 + 2 - 2) to q + o*t and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 35 = -11*w. Sort -1, w, 4, -38 in descending order.\nAnswer: 4, w, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 522*i - 552*i + 1740810. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14595129, -14595135, -14595139, -14595141, -14595141?\nAnswer: -14595139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6*8\/(-3). Let r = k + -3. Suppose -w + 0*w = -r. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 4*d - o, -2 = 30308*o - 30307*o for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*l**6 + 456586*l**4 - 3302*l**2 + 37305 wrt l?\nAnswer: 1560*l**3 + 10958064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 10*f + 21*f**2 + 8*f + f**3 + 5*f.\nAnswer: f**3 + 21*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*v + 232 + 1866 + 450 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6942?\nAnswer: -2\/3471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {g: 1, m: 1, j: 1, f: 1, s: 2, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -13, 1056 in ascending order.\nAnswer: -37, -13, 1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103104 + 158470. Let z(x) = -18673*x - 1. Let b be z(5). Let w = b + y. What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 7309 = -10515. Let m = g - -8028. Round m to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -7 + 2*h - 2*h + h**3 + 2*h - 4*h**2 + h. Let n(m) be the first derivative of i(m). Find the first derivative of n(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.529 and 7979.3779?\nAnswer: 7978.8489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 89?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 436*j**5 + 2*j**4 + j + 60.\nAnswer: 8720*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 16. Suppose -2*l + c = -112. Calculate the greatest common divisor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 6*b**2 - 8*b + 5. Let m be x(7). Let c be (-1 - -2)\/(m\/(-4)). What is the third derivative of -4*r**5 + 0*r**2 - r**c + 3*r**5 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 - 2*g - 3. Let d be b(-3). Suppose d*w - 99 = 4*x, 6*x - 75 = -3*w + 2*x. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -1\/2, 9.84, -3\/74?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = v. Let r be (v\/5)\/((-9)\/(-30)). Suppose -2*c = -r*b - c + 46, 3*b - 40 = -2*c. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 2*p**2 + 2*p. Let s = 2 + -7. Let v be h(s). Suppose 2*a + 347 = 4*f - v, 2*a = -2*f + 218. Calculate the highest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95153.3722 + 95161. What is h rounded to one dp?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 - 5*c + 6. Let y be i(-5). Let q = 4 + y. Factor -2*l**2 - l**2 - q*l + l.\nAnswer: -3*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 406\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*h**2 + 148*h**2 + 850*h**2 in the form x + g*h**2 + r*h and give g.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/19752 and 89\/9090.\nAnswer: 29924280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-210))\/(14\/(-12)))\/((-7514)\/4046).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80) + (sqrt(80) + -2*sqrt(80))*1 + sqrt(80) - (5*(0 + sqrt(80)) - sqrt(80)))**2.\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30812 - 30805. Suppose p - 7 + 3 = -y, 3*y = 3*p - 12. Which is the closest to x? (a) -1\/4 (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889181 a multiple of 853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 14.7. Let s be (-2)\/(6\/3) - 26. Let x be s\/(-12) + (-3 - 0). Which is the third biggest value? (a) x (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110200 (base 3) in base 13?\nAnswer: 3621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Solve -v*n - 2*k = 4 + 17, -n - 3*k + 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2530 = -2431. Let i be 1 + 0\/1 - m\/297. Factor 2\/3*p**2 + 2 + i*p**3 - 10\/3*p.\nAnswer: 2*(p - 1)**2*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334257?\nAnswer: 2334257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18586, 19485, 20384, 21283?\nAnswer: 22182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -52.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 260 = -5*n - 2*w, -2*n = -2*w - 88. Suppose 0*t - 2*t = n. Is (28 - -1) + t\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/283789 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 5*q + 3. Let k(s) = 2*s. Let m be k(2). Let z be d(m). Let n = 3 + z. Let c(p) = -3*p + 1. What is c(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075323?\nAnswer: 3, 7, 47, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516534 (base 8) to base 7.\nAnswer: 1312403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38565 by 2.\nAnswer: -38565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((156\/32)\/13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-3))\/((-1)\/(-5)). Let c = l - 39. Sort -5, c, 3 in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -45*r + 229. Give h(8).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2168 divided by 9.\nAnswer: -2168\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -4, -24\/17, -0.5, 0.019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 311 = -5*r - 184, 3*s = -3*r + 261. What is the remainder when 1203 is divided by s?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 231*s**2 + 3691*s + 54. What is r(-16)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 + -153. Suppose 2715 = l*c + 216. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*2*sqrt(1500))\/((-2*sqrt(486) + sqrt(486))\/((sqrt(16)*-2)\/sqrt(8))) + -1.\nAnswer: -1 + 80*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73578 rounded to two decimal places?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 5\/27*a**3 - 18*a + 1\/135*a**6 - 1\/3*a**2 + 1\/27*a**4 - 1\/15*a**5 + 1\/189*a**7 - 2. What is d in j(d) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1103 in -0.35, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 36\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-594) - 70\/(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:00 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18293477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 6, -5*g = 4*b + b + 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*g + 43*g**3 + 122*g)*(0 + 0 - 2).\nAnswer: -86*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1072*c**4 + 4175*c**2\/2 + 3289. What is the second derivative of a(y) wrt y?\nAnswer: -25728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210544969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14415 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times -11?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*m**3 - l**3*m*r - 16*l**2*m**2*r - 38*l*m + 2*m**3 + r + 24 wrt m?\nAnswer: -12*l**3*m - 32*l**2*r + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 9*a = 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 37*v - 1944. Calculate k(52).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) 23 (c) -1\/18 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-121)\/(-1)*(2 + -1). Suppose 4*s - 25 = -x. Let q = 34 + s. Calculate the remainder when 39 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 + -2. Let v = -1.6 + 2. Let o = 1154 - 1154.2. Which is the closest to o? (a) 2\/3 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 12*h + 36. Determine u(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 4. Let d be z(6). Let j be 2\/9 - (-8 - (-222)\/27). Find k such that -3*k + 4*k**2 + 6 - 10*k**4 + 19*k - d*k**3 + j*k**2 = 0.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (3 + -11) - (-1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 804*n - 195. Calculate the remainder when l(1) is divided by 149.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 504*d**2 + 21168*d + 296352.\nAnswer: 4*(d + 42)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 54*q = -4524. Which is the second biggest value? (a) -0.2 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135652*d**4 + 350103*d.\nAnswer: 1627824*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142891723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155.6? (a) 54 (b) 16 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - 0) + -2 + 1. Suppose 0 = -m - 15 + 7. Is m at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m + 1. Suppose i + 9 = -2*k - 9, 3*k + 33 = -3*i. Let b be p(k). Suppose s - 83 - b = 0. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 17. Let o = 18 - g. Solve 2*r - o = 5*x, x + 3*r + 2*r = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1612)\/558)\/(520\/468)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5321.933ml?\nAnswer: 5.321933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, x: 3, m: 6}. Give prob of picking 2 x and 2 m.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19.7498 times -5\nAnswer: -98.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5062417 is divided by 547.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30123330233 (base 4) in base 5?\nAnswer: 1313311312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42585 and 6885?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3, 15, -53, -0.3, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -20. Suppose 0*b + 400 = q*b. What is b rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Let k(n) = -6*n + 7. Let f be 6 - -1 - (-1 + 3). Let r(i) = -i + 8. Let s(y) = -y - 9. Let a(x) = -3*r(x) - 2*s(x). Calculate f*a(o) + u*k(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 3*l**2 + l**2)*(-51*l**2 - 35*l**3 + 32*l**3 + 2*l**3).\nAnswer: l**5 + 51*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 668*b**6 - 187*b**3 - 6751524*b**2 wrt b?\nAnswer: 80160*b**3 - 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2 + 3*l - 3. Let v(k) = -80*k**2 + 28*k - 28. Suppose 5*n + 4*b = -152, 123*n - 124*n - 13 = -5*b. Give n*z(m) + 3*v(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2237*p**3 + 4744*p**2 wrt p?\nAnswer: -13422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-13))\/(4260\/5538)*((-14)\/12)\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 16*k**2 - 10*k - 73. What is q(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346822.2 months to years.\nAnswer: 28901.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 8930.6038?\nAnswer: -8927.6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvlloodlllllodbllv. Give prob of sequence do.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -17*o**2 - 219*o + 16. Let z(y) = 3*y. Calculate s(z(l)).\nAnswer: -153*l**2 - 657*l + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:13 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -404 - -406. Suppose 31 + 17 = 12*d. Put -6, d, i, -1 in increasing order.\nAnswer: -6, -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*z = -15, 0*p + 21 = 3*p + 3*z. Let w(m) = 66*m - 6. Does 6 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) -0.5 (b) 75450 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*o**5 - 84*o**5 + 219*o**5 + (o**3 + 0*o**3 + 2*o**3)*(-o - o + o)*(4*o - 4*o - 2*o) + 0*o**5 + 5*o**5 - 4*o**5.\nAnswer: 59*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/102 + 2\/51. Let g be ((-10)\/40)\/((-5)\/(-12)). Let i be 5\/(-5) + (-11)\/(-8). Which is the nearest to 3\/2? (a) g (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/162042940 and -87\/214.\nAnswer: 162042940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.535 + 0.049?\nAnswer: 0.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0 (b) -2\/13 (c) 2\/35 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1. Let j(p) = -7*p**2 - 2*p - 5. Let g(i) = -j(i) + 4*n(i). Let o(c) = -c - 1. Let z be o(0). Give g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 33 - 8. Suppose -3*c = -f - 7. Solve -q + w - 3*w + 11 = 0, 3*q - c*w + 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.2. Let j = r - 0.1. Suppose 5*u - 4*y = -16, 0 = -5*y + 17 + 3. What is the second biggest value in u, -3\/4, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*h = 31, o + 2*h - 8 = 1. Let k = -22 + 19. Let d be k*(-104)\/12 - -2. What is the highest common factor of o and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 8. Let t be m(12). Suppose 0*v + 4*v - 4 = t*y, 1 = -3*v + 5*y. Solve 0 = -v*r + z + 2*z + 9, -5*z + 9 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**4*t**2 + g**4*t + 4*g*x + 2*t**2*x + 18*x + 4 wrt g?\nAnswer: -4*g**3*t**2 + 4*g**3*t + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 2*f - 3. Let g be (-3 - -15) + 2*((-11)\/2 + 2). Let b(d) = -4*d**2 + 2*d + 3. Calculate g*b(j) + 6*a(j).\nAnswer: -2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**3 - k**2. Determine b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.3. Let f(d) = d + 8. Let v be f(-9). Which is the third smallest value? (a) v (b) h (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -13. Suppose -5*s + 10 = 2*v, -4 = -4*s + 4*v + 4. Let d = s - -8. Solve 4*l = -3*u - p, -3*u - 2*u - d = 5*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000920511 rounded to 7 dps?\nAnswer: 0.0000921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 867579766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.204029466 less than -1?\nAnswer: -70.204029466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10954, 26505, 42058, 57613?\n\"Answer: t**2 + 15548*t - 4595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = -0*o. Suppose -33*s + 50*s = 32*s - 270. Calculate the smallest common multiple of o and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.6501 + 79.64925. Let h = i + -36. Round h to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 4. Let u be i(2). Suppose u = 5*o - 0*o - 75. Calculate the remainder when 44 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -37 (c) -3 (d) 0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1.1 (c) -226 (d) 2\/17 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.8. Let h = 17.75 - 17. Let z = 0.8 - h. What is the smallest value in 4, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -112.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 0 - 2 + u**3 + (0*u - 2*u + 4*u)*(-60*u**2 - 71*u**2 + 37*u**2) as l*u**3 + x*u + y*u**2 + b and give l.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000110011001011101 (base 2) to base 4.\nAnswer: 11012121131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 218d - -1?\nAnswer: 218e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13*h**2 - 376*h + 1184. Calculate s(29).\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 11:34 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 1. Let g be w(-5). Solve 14 = 5*r + g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/7*1522)\/((-2)\/21*-3) is divided by 365.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 + 11 - s**3 + 3 - 5 to the form z + q*s**3 + t*s + w*s**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5686*w + 5691*w + 16, -2*i + 14 = -4*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -8*q - 10. Let r(j) = j**3 + j**2 - 6*j + 7. Let d be r(q). Find the common denominator of (0 - 3\/6) + d\/308 and 89\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12089959, -12089963, -12089969, -12089977, -12089987, -12089999, -12090013?\n\"Answer: -x**2 - x - 12089957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = 22*s - 630. Solve -s + 14 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 36*c**2 - 40*c. Determine b(37).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let r(a) = -4037*a + 2. Let v(u) = -5388*u + 3. Let t(w) = 15*r(w) - 11*v(w). Calculate t(p(b)).\nAnswer: 1287*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/u*u)\/u**22*(u*u**(-16))\/(u*u*u**(2\/9)\/u) assuming u is positive.\nAnswer: u**(-1403\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h**5\/7 - 80*h**4\/7 - 34*h**3\/7 + 62*h**2\/7 + 66*h\/7 + 18\/7 = 0. Calculate h.\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125160151049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411348 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000609 rounded to six dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 4 - 4)*(-3 + 6 - 1) + (0*t + 0*t + 2*t)*(-3 - 1 + 2) + 3310*t + 2360*t + 409*t to z*t + o and give z.\nAnswer: 6073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -9. Suppose 5*c - 5*d = 90, -7*d + 64 = 4*c - 9*d. Calculate the least common multiple of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 77*k**2 - 66*k**2 - 2*k.\nAnswer: 11*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5286 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-18)\/60)\/(12\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 13*y**2 + 13*y - 14. Calculate q(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212120101100210 - -10?\nAnswer: -212120101100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 3 + 7 + -3. Let z(n) = -n**2 - 5*n + 13. Let d be z(-6). Suppose -t*j = -4*j + d. Calculate the greatest common factor of 49 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/75 and 2\/3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736311 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from faaaaffafaffaaaffff.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 18 = -159*y + 163*y, -2*y + 5*j = -9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4015 = 4*u - 5534, 4*r + 3*u = 12725. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154054824 and 4704?\nAnswer: 616219296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6)**(11\/4)\/(((u*u**(3\/10)*u*u)\/u)\/u)**(-31) assuming u is positive.\nAnswer: u**(1191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -58644\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204 divided by -6.\nAnswer: -602\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -2210010212120200?\nAnswer: 2210010212120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5637*g - 5649*g = -84 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 + 141. Suppose -41 = -u*w + 15. Solve -f + 1 - w = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**2 + 26*f**2 - 77*f**2 + f**2 + 3 - 3 + (-14 + 14 - 2*f)*(-6*f + 3*f + 4*f) in the form o*f + c + p*f**2 and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91 - 795*r**2 + 350*r**2 + 339*r**2 wrt r?\nAnswer: -212*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*s - 740*s = 15025 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 77. Let a = -44 - n. Let g = a - -1. Solve 3*i + g = -0*i - 3*v, -3*i = 5*v + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153b9 (base 12) to base 15\nAnswer: -8d19","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552312 is divided by 5210.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/3 - 5*j**2 - 12*j + 40. Let w be v(-8). Suppose 5*u + 3*x = 9, -u + w*u - 4*x - 17 = 0. Solve f = -1 + u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*t = -209*t - 18. Solve 0 = -t*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - -16.8. Let y = 0.203 - -10.797. Let h = y - s. What is the third smallest value in h, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2393*t + 1546*t - 1138*t + 1301*t in the form r + z*t and give z.\nAnswer: 4102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214 * 0.0346.\nAnswer: -7.4044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/(-33))\/((-2)\/(-2769)). Suppose -27*y + t = -25*y. Suppose -y = -r - 4*o, 521 = -3*r + 5*o + 3273. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -12, 16, -1\/81 in increasing order.\nAnswer: -49, -12, -1\/81, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.379592, -3 in ascending order.\nAnswer: -3, -1.379592, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.54 - -0.04. Which is the third biggest value? (a) j (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5*d + 2. Let o be p(-5). Let f = 0 - -4. Solve 4*q + s = -o*s, -3*q - f*s = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227348.6 decades in millennia?\nAnswer: 2273.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/18)\/(8\/12))\/(9\/567).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 0, -4*g - 772 = 4*k. Let i = g + 323. Suppose -40 = -3*b + l, 4*b - l = 62 - 9. What is the highest common divisor of b and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1226800, 1226847, 1226894, 1226941?\n\"Answer: 47*k + 1226753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v**3 + v**2. Let w be n(-1). Suppose 4*u = -4*i + 20, i = -2*i - 2*u + 12. Which is the nearest to w? (a) i (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 2*b + 2. Let n(g) = 3*g**2 + 3*g + 2. Determine -3*c(z) + 2*n(z).\nAnswer: -6*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -451219 (base 12) to base 8\nAnswer: -4146365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z - 371 - 35 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 - 3. Let z = 3.4 + -3. Let w = z + k. Which is the nearest to w? (a) 2 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/24*-3*(-4)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*q = 22 - 84, 93 = 3*r - 4*q. Suppose -r*w = -30*w. Solve 0 = 2*c + 4 - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590816 and 3552?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36478 and 2.\nAnswer: 36478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + r**3 + (-8*r + 11*r + 13*r)*(1 - 1 + r**2).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 3*y, 2*y - 4*y + 1 = c. Suppose 0 = u - c - 36. Suppose -u + 19 - 6*b**3 + 18 + 3*b**2 = 0. What is b?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s - 8. Let m be v(-13). Let k be 2\/(-4)*0*1. Suppose -2*r = -4*i + 132, 2*i = -k*i + 2*r + m. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(51)\/(-1*sqrt(3)) - sqrt(119)\/(sqrt(28)\/sqrt(4))).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.014650102 + 20.985310098. Let y = -21 + t. Round y to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -163.6, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaux when four letters picked without replacement from {x: 1, k: 1, a: 1, u: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 510, 684, 858?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*11.29\nAnswer: -2.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4363.811 to the nearest 10.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1033 (base 4) to base 5\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -971.66?\nAnswer: -971.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 29. Suppose -4*q = -3*g + 12, 0*g = -3*q - 3*g + h. Suppose 4*x - 9 = -2*p + 11, q = 3*p - 5*x + 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82596838.\nAnswer: 2, 19, 2173601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-686*k**2 + 0 - 4 + 690*k**2)*(79*k - 12 - 181*k + 97*k).\nAnswer: -20*k**3 - 48*k**2 + 20*k + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2\/7, 5, -0.00433, -11, 2\/3?\nAnswer: -0.00433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 3*q**3 + 3*q**3 - 4*q**3 + 3*q**3 + 2*q**3 + (1 - 1 - 2*q)*(-2 + 2*q**2 + 2) - 2*q**3 - q**3 + q**3 - q**3 - 1 + 1)*(1028*q + 310*q - 249*q).\nAnswer: -8712*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 35 = 3*j, 52*j - 54*j - 2*h = -34 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {o: 3, a: 2, j: 5, p: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.099035 and -2?\nAnswer: 1.900965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8410 + -185051\/22. Let v = -242 - -17. Let t = v - -4027\/18. Calculate the common denominator of t and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 10*b - 7*b. Let g be b\/20 + 3\/12. Put g, -15, 4 in ascending order.\nAnswer: -15, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(3\/13)*l)\/l*l**4)\/(l*l**33)**21)**(-1\/26) assuming l is positive.\nAnswer: l**(9201\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363723, 363733, 363745, 363759, 363775, 363793, 363813?\nAnswer: 363835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668\/695*300\/108*(-1 - (-88)\/85)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 64.9. Let o be (-1)\/((-2)\/(12\/(-21))). Which is the closest to w? (a) 2\/11 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 6, z: 7}. Give prob of sequence lll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 10*z - 8. Let c be b(-11). Suppose 0 = -2*f, c*s + 3*f - 114 = -f. Is (-1 - s)\/(33\/(-22)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -133, -200, -267, -334?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 0.21 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m + 1. Let l be p(0). Let u be 2801 + 3\/(-2 - l). What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 364500 = -5*r + 88*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - (8 - (0 + -6 + 7))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58774819.\nAnswer: 58774819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2 + (9\/(-33) - (-24416)\/3696).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (754\/174)\/((16\/(-768882))\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 6*c + 4*c + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48623933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13*d**2 - 1. Let i(j) = j**2. Suppose 5*q = 5*c - 20, -5*q + 3*c - 2 - 8 = 0. Let p(m) = q*u(m) - i(m). Calculate p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1576.3 * -394.\nAnswer: -621062.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v*z - 16965763*v - 41594399*z - 2 wrt v.\nAnswer: -2*z - 16965763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + h = -11*q + 23399, 2*q - 4*h - 9364 = 0. Suppose 948*b - q = 945*b. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 12*f + 133 - 267.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 6354 + 2211 = -8*d. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d - 16. Let w(m) = 3*m - 5. Let q(g) = 6*i(g) - 17*w(g). What is the remainder when 76 is divided by q(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 15*v**5 + 70*v**4 + 25*v**3 - 70*v**2 - 40*v = 0.\nAnswer: -4, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 37*s + 38. Let j be u(0). Let l(h) = j*h - 118*h + 44*h + 27*h + 40*h. Let d(y) = -13*y**2. Calculate d(l(r)).\nAnswer: -12493*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -14. Suppose -n + 0*o + 15 = -4*o, -2*n = 5*o + 9. Suppose 105 = n*k + 2*k. What is the remainder when k is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 47*x + 537. Give u(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 388557.2g?\nAnswer: 388557200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwvdvfwqd. What is prob of sequence fqw?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let f(t) = -19*t + 4. Let m(g) = -9*g + 2. Let a(i) = -3*f(i) + 5*m(i). Let r be a(j). Solve 0 = 5*o - 30 + r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1*(-3)\/39. Which is bigger: x or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 168.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 + 9*p**2 + 7*p. Let q(s) = 2*s - 1 - 5*s**2 + 2 + s**2 - 4*s. Let k be q(1). Let o(j) = -j**3 - j**2 - j. Calculate k*o(c) - i(c).\nAnswer: 2*c**3 - 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 36\/667?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 18 = 4. Let t(p) = 2*p - p**2 + p - w*p - 2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -830545, -1661088, -2491631, -3322174, -4152717, -4983260?\nAnswer: -5813803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-357)\/14 + (-2)\/4. Let y = s - -45. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -4 - 3) + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:32 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2325 - 2289. What is the smallest common multiple of a and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31 and -0.100277.\nAnswer: 0.03108587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, u: 2, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/165)\/(((-388)\/679)\/((-40)\/28))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let b(x) = 6*x**2 + 146*x - 146*x. Calculate c(b(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193363858.\nAnswer: 2, 19, 1873, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -39480, -2, -11, -7, -1 in descending order.\nAnswer: 0, -1, -2, -7, -11, -39480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p - 23 = 2*o, 4*o = p + 9. Is o > 1\/35928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008852 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8310\/11 + 758. What is the common denominator of -20\/9 and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -659, -823, -985, -1145, -1303, -1459?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*x + 205*x = 9962. Calculate the lowest common multiple of x and 7424.\nAnswer: 126208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 - 18*y - 3. Let p = 76 + -80. Let u be o(p). Suppose -g = 3*g + u*l - 35, 13 = 2*g + l. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11010001?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 86734*w + 520311. Give k(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-8)\/(-50))\/1)\/((-4)\/(-20)). Factor -j*r - 2\/5*r**2 - 2\/5.\nAnswer: -2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10120 and 1565080.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70662.093 - -0.5.\nAnswer: -70661.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -151 (b) 14 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 73*b - 75*b - 34 = 0, 0 = 3*s - b + 46 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 25. Which is smaller: r or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 44 = 4*a - 28*q, -5*a - 4*q = -37 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(-2*(-3)\/(-54)). Let q be (-10)\/(-6) + ((-2)\/o - 0). Solve 3*j = -q*z - 8, -4*z - z = 4*j + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 141768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 44551 = 17*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 58*l**2 + 4472*l - 88642. Give m(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1960462.656 to the nearest ten thousand.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9 and 113\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/24)\/(15\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 0*b**2 + 9*b**2 + b**2 + b - b + (0*b**2 + 2*b**2 + 0*b**2)*(-2 + 1 + 2) - b**2 + b**2 - b**2 - 2*b**2 - 3*b**2 + 0*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-2\/5)))\/j)\/j)**19*j\/j**(-2)*j**(2\/11)\/j*((j\/(j**(-1)\/j))**(1\/23))**(2\/25) assuming j is positive.\nAnswer: j**(-178414\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56\/15? (a) 0 (b) 0.4 (c) -5 (d) -7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4403 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 5861704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 63 - 85 = 0. Is -37 != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.0567 + 0.0533. Let x = a + -4.81. Is 44 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:43 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/1 - -3)*(24354\/44)\/123?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3819 and -41.\nAnswer: 156579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:09 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454863 (base 9) to base 16.\nAnswer: 428ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:56 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 12801268?\nAnswer: 25602536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 13*l - 10. Let o be h(-8). Is 12 a factor of 61 + 1 + o\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.3, -2\/11, 0.1, -1 in decreasing order.\nAnswer: 0.1, -2\/11, -1, -25.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 2 a when four letters picked without replacement from {g: 1, n: 3, a: 8, o: 6}?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, -5, 3 in decreasing order.\nAnswer: 4, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 429668 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1173748 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6150 and 20351490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3)*(14*v**2 - 3 + 3)*(-3 - 2 + 7) to the form p*v**2 + a*v + k and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**2 + 84*j**2 + 4*j - 143*j**2 - 4*j.\nAnswer: -78*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 449. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -24439?\nAnswer: -24439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqgq when four letters picked without replacement from {q: 2, f: 7, g: 2}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -79*a - 122. Let i(q) = 79*q + 121. Let b(v) = -2*i(v) - 3*n(v). What are the prime factors of b(10)?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 6*o - 3*o + o. Let d(q) = -21*q - 6*q + 8*q. What is d(c(p))?\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1768 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 859700000 rounded to the nearest one million?\nAnswer: 860000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f**2 + 13*f + 10. Give v(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -5, -7 in descending order.\nAnswer: 10, 4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353098 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6684 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25*16806\nAnswer: -420150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 6 + 6\/(-3). Suppose 0 = -q - 2*c + 18, -5 = -5*q - 4*c + 103. What is the greatest common divisor of q and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341.3 + 338. Let y = f - -3.1. Which is the smallest value? (a) -12 (b) 1 (c) 4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206*h**2 + 136*h**2 - 15*h + 64*h wrt h.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 5\/2*y**3 - 3\/2*y**2 + y + 0. Differentiate l(t) with respect to t.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 12*y - 15. Let b be x(10). Suppose 0 = -3*a + 6, b*d - 3*d + 36 = -2*a. What is the units digit of d\/(-6) + (-4)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3\/7 + 27*n**2\/7 - 72*n\/7 + 48\/7 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.83 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225880\/21 - 32269\/3. Let x be -1 + 0 + 19\/1. What is the third smallest value in x, 1, d, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bba865 (base 12) in base 10?\nAnswer: 5969741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 392, 1621, 3682, 6581, 10324?\n\"Answer: d**3 + 410*d**2 - 8*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-4 - (-8 + 1)). Suppose -h = -k*r - 4*h - 9, -19 = r + 5*h. Put 12, r, 5 in descending order.\nAnswer: 12, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v + 3*v)*(v + v + 0*v) - 2*v**2 + 6*v**2 - 3*v**2 + 0*v**2 - 6*v**2 + 4*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3960\/33)\/24*(-2)\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9953, -19908, -29863?\nAnswer: -39818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 4*i)*(4*i + 7*i - 6*i)*(1 + 2 + 0) + (-1736 + 96*i + 1736)*(-4 + 3 + 0*i + i).\nAnswer: 111*i**2 - 96*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 984403028 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, 254, -98, -5 in descending order.\nAnswer: 254, 5, 3, -1, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 254, 415, 604, 827, 1090, 1399?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 342 + -298. Let k(m) = -m**2 - 5*m - 2. Let z be k(-2). Suppose -z*h = 5*f - p, -4*h + 1 = -5*f + 37. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w - 245. Let s(u) = -4*u - 246. Determine -2*i(d) + 3*s(d).\nAnswer: 2*d - 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 10*p - 3*p)*(1023*p - 71*p**3 - 1023*p) - 2*p**4 - p**3 + p**3 + 3*p**2 + p**4 - 3*p**2 + (0*p**2 + 2*p**3 + 0*p**2)*(-2*p - 3 + 3).\nAnswer: -644*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {x: 7, s: 4, j: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 - 4*y + 2. Let a(h) = -h + 158*h**2 + 2*h - h**3 + 155*h**2 - 313*h**2 - 1. Let m = 6 + -6. Let g = m + 1. Determine g*o(l) + 2*a(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 132\/5 + 12*z - 3\/5*z**2 = 0?\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2919 - 2044. Is u a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -625\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 13*n + 14. Let v be t(14). Solve 3*a + c - 19 = v, a - 9 = -0*a - c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 22996, 2\/15, -40.7 in increasing order.\nAnswer: -40.7, 1\/8, 2\/15, 22996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 930830306 and 1988?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1280*j**3 - 2924*j**2 + 1404*j**2 + 1520*j**2.\nAnswer: -1280*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 28794, 9, 1, -0.14?\nAnswer: 28794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -70250592795060.\nAnswer: -70250592795053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o + 9. Determine f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 42.08548 decades?\nAnswer: 4.208548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 591343.5 hours?\nAnswer: 2128836600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 388 = -4*j. Suppose -19 - j = -3*d. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 217\/7 - (-3 + 0). Suppose -2*i - 4*f + 24 = -q, 0 = 4*i - 2*f - 106. Solve -3*o - 4*u = -i, -5*u - 1 = -4*o + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 - 8*a + 9. Let f(l) = -37*l - 367. Let m be f(-10). Give j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 - -177. Let f(d) be the first derivative of l*d**3 - 3\/2*d**4 + 5\/2*d**2 + 0*d - 4. Find the second derivative of f(g) wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.33 - -1.4. Let j = -2.65 - -2.45. What is the smallest value in j, 0.1, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*t - 0*t - 39, 2*t - 16 = -2*x. Suppose c + 5 = p + 1, 4*p - 2*c = 8. Sort 4, -4, x, p.\nAnswer: -4, p, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12472, 24908, 37304, 49642, 61904, 74072?\nAnswer: 86128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 13*r - 2. Let y be s(-7). Solve -y*v - 4*t = 10, -8 = 4*v - t - 3*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.5? (a) -2\/7 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12282*q**3 - 5*q**2 - 13269*q. Let o(k) = 6141*k**3 - 2*k**2 - 6634*k. Let l(n) = -4*b(n) + 9*o(n). What is the third derivative of l(j) wrt j?\nAnswer: 36846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4979 - 4978.9. What is the second biggest value in f, 0.5, 7\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 181 - 169 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327057899\/11 or 29732536?\nAnswer: 29732536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, a: 3, g: 3, r: 2, t: 3}. What is prob of sequence ga?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/18 and 34\/176906457.\nAnswer: 353812914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*w**3*y**3 - 2*w**3*y - 19*w**2*y**3 - w**2*y - y**3 wrt w?\nAnswer: 522*y**3 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864063199?\nAnswer: 8807, 211657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*h = -385, z - 3*h + 171 = -20. Let f = -199 - z. Suppose 0 = -8*r + 3*r. Sort f, r, 4, 22 in descending order.\nAnswer: 22, 4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(13)*4*-1 - (-2 + sqrt(1300) + sqrt(1300) + -3 + sqrt(1300)))*-4)**2.\nAnswer: -3520*sqrt(13) + 101072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4) + sqrt(2) - ((sqrt(2) + sqrt(2)*1)*4 + sqrt(2)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -346, -342, -338?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/49001 + 1518921\/2695055. What is the common denominator of a and 76\/225?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:31 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 383*l**3\/3 + 183*l + 613. What is the derivative of k(i) wrt i?\nAnswer: 766*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/3 - 4900*v**2\/3 - 70448*v + 307968 = 0.\nAnswer: -2406, -48, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -6\/5 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -96, -5 in descending order.\nAnswer: 4, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 130583.3 microseconds?\nAnswer: 130583300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0148002 and 1.2.\nAnswer: -0.01776024","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9059.673 litres?\nAnswer: 9059673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 46 = -3*s. Which is smaller: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 10. Calculate t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -5 - 1. Let k = 354 + -190. Let t = k - 14431\/88. Are t and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - (-7 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7412, -7404, -7390, -7370?\nAnswer: -7344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 163*m + 139 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/120 + k**5\/60 + 12*k**2. Let x(g) = 6*g**3 + 5*g**2 - 2*g - 1. Calculate 5*j(i) - x(i).\nAnswer: -i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose -5*d + 99 = 9. Let r be -1 + d\/(-21) + 2. Sort -2, k, r.\nAnswer: -2, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n + 4. Let b be c(-3). Suppose 5*k = 2*t - 404, 0 = b*t - k - k - 824. Find the common denominator of -3 + t\/(-6) + -1 and -12\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*o + 29 = -4*v - 236*o, -3*v - 2*o - 6 = 0. Put 2, v, -5, 71 in descending order.\nAnswer: 71, v, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/180 - 41*u**4\/72 + 385*u**3\/9 - 3*u**2 + 614*u. Solve z(l) = 0.\nAnswer: -55, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-22) + 540\/66. What is the greatest common divisor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468958.6 milligrams in micrograms?\nAnswer: 468958600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*m - 12, 539*s = 541*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 79 + 1 + -21 + -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 22*p**2 + 10*p - 30. Let d be b(3). Let s(q) = -198*q + 396*q - d*q + 5*q**2. Let n(g) = g. Calculate s(n(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614 by -3.\nAnswer: -614\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -68*o**5\/25 - 71*o**4\/5 - 388*o**3\/15 - 98*o**2\/5 - 24*o\/5 + 1574. Solve c(w) = 0 for w.\nAnswer: -2, -1, -3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Suppose -3*a - 15 = 5*o - w, -4*a + 21 = -o. What is the units digit of 1\/((o\/12)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/5 - 52*y**4\/5 + 338*y**3\/5 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 - 2611.2.\nAnswer: -2610.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) - (sqrt(425) + -5))**2 + (0 + sqrt(272) - (0 + (sqrt(153))**2 + sqrt(17))).\nAnswer: -77*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 667540000 to the nearest 1000000.\nAnswer: 668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.272698644 + 1.397\nAnswer: 2.669698644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*x = 724*x - 731 - 145 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:04 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Suppose 3*p = -5*s + 16, p = 2*p - 4*s + 6. Let t(d) be the first derivative of 2*d**2 + 2 - 2*d**2 + d**p. Determine t(x(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.1 (c) 1 (d) -5\/6 (e) 2\/527 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.1. Let q = h + -1.3. Suppose -2 = a - 0. What is the closest to 1 in a, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-4)\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/49, 1, 2\/3 in increasing order.\nAnswer: -2\/49, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*d + 4 = 0, -5*k + 3*d - 1 = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1846 (base 9) to base 8\nAnswer: -2613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 156*t + 94*t + t**2 - 3.\nAnswer: t**2 + 250*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (573 - 544 - (78 - 1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, 1 y, and 1 t when four letters picked without replacement from {t: 1, v: 7, j: 4, y: 4, g: 2}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (273\/637)\/(6\/84)*-1*7\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.59574 litres to millilitres.\nAnswer: 15595.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 52*f**2 + 4*f + 6. Let z be q(-2). Suppose 0 = -4*g - 194 + z. Solve 4 = -2*b + g*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/12 - m**2 - 2. Let n(a) be the second derivative of r(a). Let z(g) = 253 - 10*g + 281 - 534. Give n(z(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 not equal to 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -56. Let n = y + -5. Let f = 20 - n. Solve f*w - 4 = -6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 3*f - 11, -2*m + 46 = 5*f + 55 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)\/(j*j\/((j**(4\/7)\/j*j)\/j)))\/(j*j\/j**(2\/5)*j*j*j\/j**(1\/9))*(j**5*j**(-2\/9))**(2\/35) assuming j is positive.\nAnswer: j**(-209\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6050, 5988, 5880, 5726, 5526, 5280, 4988?\n\"Answer: -23*y**2 + 7*y + 6066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -4 (c) 0.46 (d) 7 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 2*p + 14*p. Solve p*j = s + j + 6, -4*s - 18 = -2*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3433 + -3148. Solve -84 = t*h - 273*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/256695 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(3 - 7))\/(-1). Let z be (-7)\/((d\/200)\/(-1)). What is z rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 285 = 141. Let d be 591\/45 - -2 - j\/180. Solve -m + 0*m = -5*v + d, 2*v = -2*m - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 63. Is 4\/(-10) - n\/5 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30808 and 200?\nAnswer: 770200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 1\/6*t**3 + 0*t**4 + 1\/21*t**7 - 4*t**2 + 0*t**6 + 4\/5*t**5 - 58*t + 0. What is the second derivative of n(g) wrt g?\nAnswer: 40*g**3 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**5\/60 + 5*h**4\/24 - h**3 + h**2 - 1. Let z(b) be the second derivative of i(b). Let v be z(-6). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44\/23 + 671\/483. Let u = -4\/21 - s. What is the closest to -2\/3 in u, 0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 39*q + 72 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42998828 divided by -10749707?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 2*u**2 + u + 9. Let a = -93 - -171. Calculate the remainder when a is divided by v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 7. Calculate t(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25303220 (base 7) to base 15\nAnswer: -3028e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28120*p**4 - 225*p - 25 wrt p.\nAnswer: 337440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -17.9. What is the closest to 1\/8 in p, 0.3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669 greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + (-78)\/(-18))\/((-32)\/(-24)). Let g = -111\/679 + 2\/97. Put 3, 1, g, d in increasing order.\nAnswer: d, g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1923, -5618, -11083, -18318, -27323, -38098, -50643?\n\"Answer: -885*r**2 - 1040*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200102100120 - -22?\nAnswer: -11200102100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/168*21*920\/1265.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120557 is divided by 140?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/6 + -2)*2. Let f(r) = -4*r - 4*r**2 + b + r**3 + 0*r**2 + 6*r**2. Let p be f(-3). Solve p*c - 8 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b2a6 (base 12) in base 14?\nAnswer: -6da90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -267. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 375 = 3*f, -2*u + 2*f = u - 375. Suppose -u = -4*a - a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837 is divided by 335?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 4*w**4 + 16 + w - 17 + 4*w**4 + 0*w**4 - 2*w**4 + (-5 + 5 + 4*w**2)*(2*w**2 + 0*w + 0*w) as i*w**3 + b*w + u*w**2 + g + f*w**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/(n*((n\/(((n\/n**(-8))\/n)\/n))\/n)\/n*n)))*n**5*(n*n\/(n*n*n\/(n**(-2\/19)*n)*n)*n)\/n*n*n*n*n*n\/(n*(n*n**(3\/10))\/n)*n*n assuming n is positive.\nAnswer: n**(3153\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*v - 310 = 0, -5*o - 3*v + 315 = -o. Let h = -681 - -816. Let r = h - o. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(-4))*o*o)*o*(o\/(o\/(o\/o**6)))\/o)\/((o*o**(1\/3))\/o)**(-39) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-220) + ((-4)\/5 - (-414)\/330)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5475233ml?\nAnswer: 0.0005475233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173442100?\nAnswer: 2, 5, 13, 133417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 17 + 5. Suppose 8*r - k*l = 4*r, 2*l = 4*r + 10. What is the remainder when 62 is divided by (-67)\/r + 4\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1216*l**2 + 959*l**2 - 1543*l**2)*(-4*l**2 + l**2 - 2*l**2).\nAnswer: -3160*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + -0.25. Let k = 37.49 - w. Let x = k - 36. What is x rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55812, 113213, 170614?\n\"Answer: 57401*r - 1589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.966 - 0.034. Let v = -0.5 + 0.5. Which is the fourth biggest value? (a) v (b) p (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*s + 392 = -39*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:23 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y + 21. Solve 3*t = -2*u - y, u - 10 = 2*t + 2*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 13, t: 1}. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 6. What is the remainder when 166 is divided by n(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/5))**(13\/4)\/(((l*l*l*l**(-1\/6))\/l*l)\/(l\/l**(1\/9))) assuming l is positive.\nAnswer: l**(59\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1144 and 55\/8.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 127419 and -39318.\nAnswer: 88101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6562\/(-524960)*5\/2?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1288 = 4*k + 4*z, 2*k - 1292 = -2*z. Let r = k + -450. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/j**4*((j*j**(-2\/5))\/j)\/j*j**(-9)*j*j assuming j is positive.\nAnswer: j**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871573891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -26*i. Let a be 3\/(9\/24) - (6 - 3). Suppose -44 = -4*o + a*x, 4*x = -0*o + o. Let d(c) = -c**2 + 12*c - o*c + 4*c. Calculate d(z(f)).\nAnswer: -676*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*u - 6*u - 3*a, 0 = -3*u + 4*a - 5. Let x = u - 8. Put -4, -1, x in decreasing order.\nAnswer: -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*o**6 + 84*o**2 - 2 wrt o?\nAnswer: -17280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.226 + -15095028073.4.\nAnswer: -15095028073.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5746159.\nAnswer: 23, 249833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -3072 in descending order.\nAnswer: -2, -3, -3072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k. Suppose -z + 15 = 3*o, z + k*o + 15 = 3*o. Let r(c) = -3*c + 4. Let f be r(z). Solve 1 = -2*l - 2*y - 3, -l + f = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16309 and 18391.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1119 + 1126. Solve 0 = q - c*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:50 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -361*u**2 - 52*u - 1. Let d(g) = -18*g. Give d(i(f)).\nAnswer: 6498*f**2 + 936*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u - 16*u + 9*u)*(-2*u**3 - 4*u + 4*u) + 2*u + 299*u**2 + 297*u**2 + 6*u**4 - 594*u**2 + 1.\nAnswer: -2*u**4 + 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32588*z**2 + 16141*z**2 + 16429*z**2.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421212?\nAnswer: 2, 61, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*n - 8 = 0, -w + 3*n - 1 = n. Solve -4 = w*d - 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v - 1 + v + 5 - 9*v - 2. Let c(z) = 3*z - 1. Let x(i) = -1. Let b(o) = 2*c(o) - 22*x(o). Let u be b(-4). What is s(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 12. Let d be b(-12). Let a = -101\/3 - -34. Let r = d - a. Which is smaller: r or 0.08?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 327*j**3 + 3 - 5*j**4 + j**4 - 329*j**3 + 3*j**2 + 0*j**2 as i*j + t*j**2 + z*j**3 + l*j**4 + r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 44*i**2 + 1. Let n(y) = -7*y. Calculate n(l(m)).\nAnswer: -308*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -691911, -691910, -691899, -691866, -691799, -691686, -691515?\n\"Answer: 2*l**3 - 7*l**2 + 8*l - 691914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2)\/1334) - 4. Suppose -x - 77 = -4*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.55035l?\nAnswer: 98550.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 + 80. Let y = i - -45.0013. Round y to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -836, -1567, -2600, -3941, -5596?\nAnswer: -7571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 16*a - 10. Let v be t(-15). Let i be v - 0 - 150\/50. Solve o + o - i = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/252 and 47\/331583?\nAnswer: 11936988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 30\/6)\/((-2)\/4). Let n be 15 + w + 7 + -10. Let k be (-15)\/n + 193\/126. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187 - 186. Let i(s) = s**3 - 4*s**2 + 2*s - 5. Let t be i(4). Put m, 0, t in ascending order.\nAnswer: 0, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1707313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-7))\/(-3) - (-4266)\/3318.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 441*a + 2652. What is u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815\/(-45) + (-320)\/(-240)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/u**(-5)*(u*u**(-5))\/(u\/(u**(-7)\/u)) assuming u is positive.\nAnswer: u**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4))**(-43)\/(i**5*i**(-1\/3)) assuming i is positive.\nAnswer: i**(331\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36192, 74700, 113208, 151716, 190224?\nAnswer: 228732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 4 - (-105 - -137)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 3)*-1 + 1. Suppose 3*z + n = 32, 0 = r*z - n + 37 - 85. Calculate the greatest common factor of z and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.1 - -13.1. What is the closest to -1\/12 in -0.2, b, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 4 + 2*m**2 - 7*m - 6*m**2. Let x = 5532 + -5534. Let b(c) = 6*c - 3. Give x*v(q) - 3*b(q).\nAnswer: 2*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j. Suppose -3*a = -j*a. Solve -4*h = -a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2*45\/6. Let k = g - -13. Let v(b) = -2*b**3 - 4*b**2 - 2*b + 2. Calculate the smallest common multiple of 12 and v(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((3 - 3)\/5)\/2. Let x be -2 - ((4 - n) + -8). Suppose -5*m + 10 = -5*j, 0 = -3*m + 2*m - 4*j + x. Solve 0 = -0*b + b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -968*i**3 + 300026*i**2 - 2 - 1285*i**3 - 300024*i**2 as o*i + f*i**3 + m + x*i**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54240381*r**3 - 10*r**2 + 3173783.\nAnswer: -325442286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - 4\/((-16)\/548) is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -32, -42?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 106.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.9 - -74. What is the closest to 0 in -1, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274 divided by 115579.\nAnswer: -274\/115579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + q + 9*q + 281 + 202.\nAnswer: 10*q + 411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 8. Let x(k) be the second derivative of k**5\/20 - 2*k**4\/3 + k**3 + k**2\/2 - k. Let h be x(7). Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*242\/(-198))\/((-1)\/9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110111 (base 2) to base 11\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (8 - (-17 + 19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2860.03 - 2910. Round m to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193601 is divided by 139.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -6\/704101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18228 + 18295. Solve 40 - b = -9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**3 - 1 + c**2 + c**2 + 4*c. Let d = 7880 - 7881. Let z(p) be the second derivative of -p**4\/12 - p**3\/6 + p. Give d*r(m) - 4*z(m).\nAnswer: 2*m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 244, 549, 984, 1555?\nAnswer: 2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 - 314 = y. Let c(x) = x**2 + 3*x - 6. What is c(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*o - 44084*o - 6936*o.\nAnswer: -52877*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 18 = -4*f + 2*b, 0 = -5*b - 15. Put -2, f, 0 in ascending order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 + 3*w**2 - 5*w - 1. Let q(b) = -7*b**3 + 5*b**2 - 8*b - 2. Let l(c) = -c**2 + 17*c - 61. Let h be l(11). Calculate h*q(k) - 8*v(k).\nAnswer: 5*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -472.627 times -0.4?\nAnswer: 189.0508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 - 84*o**4 - 234*o**3 + 1236*o**2 - 1419*o + 504.\nAnswer: -3*(o - 1)**3*(o + 7)*(o + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*l - 27, 4*l - 7 - 5 = 0. Solve -g*t + 0 + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:20 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**3\/3 - 13*m**2\/2 + 31*m + 92. Is 2 a factor of s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/4 (b) -1\/10 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/14))**(-23))**(21\/2) assuming b is positive.\nAnswer: b**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 1 + sqrt(245) + sqrt(245) - (4*sqrt(15)\/sqrt(3))**2.\nAnswer: -79 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-2630)\/140 + (-144)\/(-24)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111287 > 3111287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134*p**2 - 271*p**2 + 9*p + 135*p**2)*(-p - p + 4*p) to c*p**2 + j*p**3 + f + u*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 8e?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 6*p**2 - 14*p - 22. Let s(a) = 2*a**3 - 6*a**2 - 16*a - 27. Determine -5*m(i) + 4*s(i).\nAnswer: 3*i**3 + 6*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30516 divided by 7629\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 1 - 1)*(-5 + 4 + 2)*(10 + 0 - 1) - 3*f + 3*f + 2*f + (4*f + f + 0*f)*(-1 + 2 - 3) as v*f + k and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -6, 0.1, 7 in increasing order.\nAnswer: -6, 0.1, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.6 + 28. Let x = -0.1 - 4.9. Let z = -2.3 - 0.7. Sort z, x, v in descending order.\nAnswer: v, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 13, -5, -404\/11, 5 in descending order.\nAnswer: 13, 5, 0.1, -5, -404\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 less than or equal to -2569\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2 - 2 + 56*j**2 - 52*j**2. Let i(n) = -3*n**2. What is w(i(m))?\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (59 + -21) - (-15 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*r + 9*r, 5*r + 15 = -2*f. Let c(a) = -6 - 3*a - 4 + 3. Calculate the smallest common multiple of 2 and c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:21 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/42*4812\/1604\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 - 2*f**2 - 9*f**2 + 21*f**2. Let b(x) be the third derivative of -1\/60*x**5 + 0 + 0*x**4 + 3*x**2 + 0*x + 0*x**3. Calculate l(b(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-144)\/20*6\/(-24)*50. Suppose 12*t - 4350 = -o. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + -0.2. Let z = 5 - 0. Which is the closest to 0.1? (a) -2 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.7 and 755.9464.\nAnswer: 746.2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 i when three letters picked without replacement from {q: 2, z: 1, o: 1, j: 2, w: 4, i: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(((-18)\/24)\/(4\/(224\/42)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 644037*q**2 - 484201?\nAnswer: 1288074*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (1\/1 - 2). Suppose -17 = -d*n - 2. Suppose -2*f = 3*u, 3*f - 8 = 2*u + 7*f. Solve -c + 12 = u*r, -n*c - 5*r + 4*r + 11 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.414789 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22b2b (base 12) to base 10\nAnswer: 46547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -0. Let b(x) = -x + 1. Let q be b(u). Let c be -2*(-1)\/30*q. What is the smallest value in 2\/3, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3061*d - 25337 = 45181 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + 108. Is p(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18318 and -52.\nAnswer: 9.52536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 9. Calculate j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66631002187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 41*n**2 + 80*n - 82. Let w be z(39). Put 2, w, -12 in decreasing order.\nAnswer: 2, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -631*b**2*h**2 - 37*b*h**2 + b*h - b wrt b.\nAnswer: -1262*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 6) in base 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*s - 405364 = -390174 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32418316 and 453051?\nAnswer: 291764844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -3*m + 18*h - 2872, -6*h + 12 = 0. Which is smaller: m or -955?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88216696.8000043 - 88216705. Let v = k + 8.2. What is v rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*z + 29, -296607 = -3*z - 3*m - 296583 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -633.89 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*c**2 - 7*c**2 + 30*c**2 + 49 wrt c?\nAnswer: 46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 2*o - 4*o + (-3 + 1 - 3)*(-2*o + 3*o + 0*o) + 2*o - 3*o - 2*o + (-1 - 3 + 7)*(0*o - o + 8*o).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23194 is divided by 727.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 - w + 9. Let u(d) = d**2 - 2. Let z(n) = -a(n) - 4*u(n). Let x be (-1 + 0)*(-6)\/(-1). Let t(g) = 7*g**2 - 6*g + 6. Determine x*z(c) - t(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a + -2bb0?\nAnswer: -2b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k + 6. Let t be r(11). Let g = -166 + t. Let s = -40 - g. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187308449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/45)\/(1*(-8)\/20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -13. Let x(a) be the first derivative of 0*a - 2\/27*a**c - 1\/9*a**2 + 3. Factor x(b).\nAnswer: -2*b*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -54176.8\nAnswer: 10835.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1364)\/186 - (4\/(-1) - 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(35) - sqrt(35)*2))\/(sqrt(405)*1 + sqrt(5)) + (6*(sqrt(700) + -1*sqrt(700) + 2))**2.\nAnswer: -sqrt(7)\/10 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2275, -5, -1139?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**2 - 115. Let z(w) = w**2 + 3*w. What is k(z(f))?\nAnswer: 2*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 105*l - 25 - 9)*(0*l**2 - l**2 - l**2).\nAnswer: -210*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200222 - 12?\nAnswer: 2200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 20*n**2 + 16*n.\nAnswer: 4*n*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r**2 + 0*r**3 + 3*r**3 - 12*r**2 - 4*r**3 + 5*r**3 + 3*r - 1 to c*r**3 + t*r**2 + k + p*r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104172153055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16826270 rounded to the nearest 10000?\nAnswer: -16830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -248*f + 1. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j**2 + j - 2. Let u be m(2). Let b = 17.9 + -17. Let q = -1.9 + b. What is the nearest to q in u, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105455 - 105457.999832. Let q = h + 3. Round q to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1133210 (base 5) to base 7\nAnswer: 115246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85616167 to the nearest integer?\nAnswer: 9253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*6 + (-1*sqrt(19) + 4)**2.\nAnswer: -2*sqrt(19) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1111*a**3*k*o**2 - 262*a**3*o**3 - 58*a**3*o**2 + 4*a*o**3 - a*o**2 + 10*k*o**3 - 5*o**3 wrt o?\nAnswer: -1572*a**3 + 24*a + 60*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**13))\/b)\/(b\/(((b\/(b\/b**(-3\/8)))\/b*b)\/b)))**11*(b**(9\/2)*b\/(b\/b**10))**37 assuming b is positive.\nAnswer: b**(5139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57, -45, -19, 27, 99, 203, 345?\n\"Answer: q**3 + q**2 + 2*q - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 159*d + 16 + 291*d with respect to d.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/125 - 8\/(-10). Which is the fourth smallest value? (a) -4\/5 (b) i (c) -2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 21*v - 472. What is c(-35)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 + a**5\/12 + a**4\/12 - a**3\/3 + 4*a**2. Suppose -c - 5*c + 30 = 0. What is i(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 + 1 = 0. Let w = 5 - z. Suppose w*a + 96 = b, -3*a = 2*a + 25. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1196, 1951, 2706, 3461, 4216?\n\"Answer: 755*r + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*s - 20 = -59*s. Put 4, 226, 2, s, 5 in increasing order.\nAnswer: s, 2, 4, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 6:11 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - 2*s + 6. Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 4, h: 3}. What is prob of sequence bbbb?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.893758 in -2\/19, 5, -4, -1, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20409)\/(-10)*30\/(-108). Let b = -568 - y. Calculate the common denominator of -137\/36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 455327 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*r = 10, 4*x - 4*r = r + 8. Suppose x*g = 4*g - 4. Suppose g = -2*l + 3*l. What is the second biggest value in -2\/13, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 72*b - 466. Is w(14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(396) + -2 + sqrt(396))**2.\nAnswer: -3170 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2690, 5370, 8040, 10700, 13350, 15990?\n\"Answer: -5*f**2 + 2695*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o**5 + 132*o**4 + 134*o**3 - 50*o**2 - 54*o + 14 = 0. Calculate o.\nAnswer: -7, -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71.9 + 63. Let y = 5.9 + a. What is the smallest value in 2, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*-2*sqrt(1134))\/(-2*sqrt(18) - sqrt(14)\/sqrt(63)) + -5).\nAnswer: -15 + 648*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1142 - -1145. Let j(w) be the first derivative of -5*w**t + 0*w**2 + 29 + 5\/2*w**4 + 0*w + w**5. Factor j(s).\nAnswer: 5*s**2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 50 = 2*o, -74 = -5*l - 0*o - o. Suppose -9*n = -l*n + 10. Is (2215 + n)*(-5)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - 8*r - 1. Suppose 1008 = -120*z + 288. Give x(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 57 + -54\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7885515 or -7885534?\nAnswer: -7885534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 10*g**2 - 16*g. Determine s(-11).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11541.\nAnswer: 3, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*u + 162*u + 10*u - 1.\nAnswer: 597*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 414.97 - -0.05967.\nAnswer: 415.02967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -140111030 (base 6) in base 3?\nAnswer: -12021200202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, -2, 0, 29.\nAnswer: -5, -2, -1, 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 308, 567, 848, 1163, 1524?\n\"Answer: 2*z**3 - z**2 + 248*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 159351 from -110571888.\nAnswer: -110731239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -73*u + 8. Let b(q) = -2*q + 1. Give 6*b(m) - t(m).\nAnswer: 61*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 475785101*c**4 - 5635*c - 27285 wrt c?\nAnswer: 5709421212*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 49b564?\nAnswer: -49b563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 57, 4 in increasing order.\nAnswer: -3, 2, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/12 - g**3 - g**2 - 3*g. Suppose -t = -4*r - 0*t + 22, -4*r = -4*t - 16. Let q be a(r). Is -5\/4 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 17*v + 65 = 0. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -85. Suppose -b + q*b + 204 = 0. Let x = -60 - b. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - 285*r + 631. Calculate j(69).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -272885.0906 to the nearest ten.\nAnswer: -272890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8336005 and 1211?\nAnswer: 58352035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 364.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**7\/1260 - 74*k**4\/3 + 186*k. Let a(q) be the third derivative of p(q). Let r(i) = -195*i**2. Give a(r(l)).\nAnswer: 76050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 23, -4.146, 13, -0.1 in ascending order.\nAnswer: -4.146, -0.1, 0.1, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10921029*-2\nAnswer: -21842058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-2))\/(3\/(42\/7)). Solve -3*u - 11 = l, -l + h*u + 24 = u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = 5*r - 14, 0 = 5*r - 4*v - 17. Solve 5*w = -5*c - 0*c, r*c + w = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 9*r**2 + 24*r - 11. Let u be l(4). Sort u, -3, 2.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 0*r**3 + 3*r**3)*(36 - 36 - 17*r) - 2*r**4 + 2 - 2 + 0*r**4 + 2*r**4 - r**4.\nAnswer: 33*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/675 - -6536\/7425. Find the common denominator of 317\/51 + 19 + -21 + -4 and f.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c. Let j be x(-3). Suppose -2*g = 2*g - 4*l - 8, 4*g - 3*l = 9. Suppose g*w + 4*k = 9*k + 54, k - j = 0. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 208259175.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -116 + 136 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 + -14)\/((-12)\/3). Which is bigger: c or 3\/496?\nAnswer: 3\/496","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(729) + (sqrt(729) - (-2*sqrt(729) + sqrt(729)))))**2.\nAnswer: 19\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 10:14 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -384\/2462917?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354*c**2 + c + 2 + c**4 - c - 353*c**2 to x*c**4 + n*c + i*c**3 + k + f*c**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32470c + 179?\nAnswer: -324583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(65 + 200051\/(-3078)) - 24\/(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9497.9999985265 + -9498. What is t rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 245*v**5 - 7*v**2 + 3 - 247*v**5 + 6*v**2 + (v - v - 3*v)*(-2*v**4 - 105*v + 105*v).\nAnswer: 4*v**5 - v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20976.7 + 21910. Let k = h - 897. Are 2 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1253\/4713?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18 - d - 8 + 9 - 4*d. Let l be f(4). Does 2\/381 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18121.92 - -18113.42037. Let i = -8.5 - m. What is i rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.529 + -22.581. Let r = h + 28.6. Round r to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 + 316\/3. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 0.1, -4, 0.3, 4 in ascending order.\nAnswer: -4, -1.3, 0.1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) 0 (c) -390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 6*b + 47. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0119035 to four dps.\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(931) + sqrt(931) + 3*sqrt(931))**2 + (1 + sqrt(931) + sqrt(931))*-5 - -2*(-3 + sqrt(931)*-4 + -1).\nAnswer: -116388 - 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198316039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 299388091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2238756 divided by 339?\nAnswer: -6604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*p + 6 = 0, 2 = -2*t + 3*p - 3. Let d(f) = f**2 - 7. Let r be d(-5). What is the highest common factor of t and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 95680351*d + 95680352.\nAnswer: -(d - 95680352)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5477, -61, 0, 4.\nAnswer: -5477, -61, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 242290181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 148*y**5\/5 + 2*y**4\/5 - 444*y**3\/5 - 302*y**2\/5 - 4*y\/5 = 0. Calculate y.\nAnswer: -1, -1\/74, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012676 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. Suppose -4*m - 3*l + 1 = 0, -4*l - 5 = -i*m + m. Sort m, -4, -8 in increasing order.\nAnswer: -8, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155\/561 less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 3. Let g be u(1). Find the third derivative of -6*d**2 - d**3 + 2*d**g - 7*d**3 - 2*d**2 wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*a + a. What is the third derivative of -y**a - y**4 + y**4 - 3*y**4 wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.9. Which is the biggest value? (a) 5 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w + 5*o + 5, 4*o = 5*w - 27. Solve -12 = -g - w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -16*t**5\/35 - 13*t**4\/7 - 20*t**3\/7 - 2*t**2 - 4*t\/7 - 5. Solve x(c) = 0 for c.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 530\/45 + ((-24)\/(-27))\/4. Solve -3*i = -0*i + o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50542)\/(-8) + 7\/(17 - -11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -42. Suppose -2*w = -x + 1. Let i(r) = -4*r + r**2 + w - 1 - 11. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5710, 46117, 155952, 369931, 722770?\n\"Answer: 5786*v**3 - 2*v**2 - 89*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*n**2 + 22*n**2 - 106*n**2 + (2*n - 1 + 1)*(n - 7*n + 2*n).\nAnswer: -157*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*o + 28 - 43, 6*z = 2*o - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156 and -65.\nAnswer: -10140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11 + 1 = 0. Suppose 13 = -g*a - 2*i - 3, -5*i + 68 = -4*a. What is the units digit of 1\/((-3)\/a - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:34 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o*o**(1\/3)*o))\/o)\/o)\/o**(5\/3)*(o\/(o*o\/(o**(1\/3)\/o)))**(1\/6))\/((o\/((o*o\/(o*o*o**(2\/5)))\/o))**(1\/30))**(-49) assuming o is positive.\nAnswer: o**(-1061\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 3. Let d(s) = 2*s - 2. Let b(j) = -5*d(j) - 3*p(j). Let u be b(2). Let v(h) be the third derivative of -h**4\/8 + 10*h**2. What is v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -461*o**5\/5 - 17*o**2 - 2*o - 1191. Find the second derivative of f(a) wrt a.\nAnswer: -5532*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 7*l - 2. Let x be k(-2). What is the greatest common divisor of x and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Suppose 6 = -2*r + 5*r. Let i(o) = r*o - 5*o + 3*o**2 + 2 + 1. Let a(y) = 3*y**2 - 4*y + 4. Let s(z) = -3*a(z) + 4*i(z). What is d(s(l))?\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1701, 13, 0.2.\nAnswer: 2\/1701, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.5 (c) 994 (d) 5 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 6*x - 2*x. Let i = 145 + -205. Let a = i - x. Round a to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 + 9*v + 138\/7.\nAnswer: -3*(v - 23)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1743834240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 + -236. Let u(h) = -h - 1. Let n be u(-2). What is the remainder when i is divided by 2*-1*n + 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**22*c)\/(c\/(c**4\/c*c)))\/(c**18\/c**(-21)))**40 assuming c is positive.\nAnswer: c**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f + 12. Let l be 35 - -1*(-2 + (-3)\/(-3)). Let z = 40 - l. What is the tens digit of k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2 - 24112*k + 2351616 = 0.\nAnswer: -6124, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 + -116. Suppose -8*b - 7 = o. Do b and -0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -177*u**3 + 3*u**2 + 13*u + 44. Is j(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2097494 and 2097488 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4146*j**2 + 8322*j**2 - 3*j - 4158*j**2 + 3*j - 15*j**3 as m*j + r*j**2 + z*j**3 + w and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205159970.\nAnswer: 2, 5, 1009, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.02, 6\/11, -0.1, -20?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - t + 1. Let p(i) = 11*i**2 - 4*i. Give p(j) - 2*v(j).\nAnswer: 7*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 2 - (-1 + 2)*-21. Suppose 6*p + 25*p - 155 = 0. Sort p, b, 2\/5.\nAnswer: 2\/5, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6838 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/206 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 q when three letters picked without replacement from {e: 3, v: 1, d: 8, q: 6, b: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3685?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {t: 7, e: 6}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75866?\nAnswer: 2, 7, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 128*p + 143*p - 464*p.\nAnswer: -449*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*-2)\/((-16)\/(-80)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 44 = 4*q. What is the units digit of 3\/q - 1252\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11405610*d**4*t**3 - 15369*d**2*t**3 + 13*d*t wrt d?\nAnswer: -273734640*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776411151.\nAnswer: 17, 367, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2\/15*b**3 + 3\/5*b**2 + 4\/5*b + 3. Factor a(x).\nAnswer: 2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f - 4*a - 14, -5*f = -2*a + 6. Let n = 8225 + -8225. Sort -3, -10, f, n in ascending order.\nAnswer: -10, -3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -2112133322?\nAnswer: -2112200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/280830 and -113\/37444.\nAnswer: 561660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n - 2*w, -w - 2*w = -3. Is 3 a factor of (-4 - -1)*13\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(320)*-1)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 - 81 = -10*u. Let w = u - -20. Which is the third biggest value? (a) -1\/3 (b) -17\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171 is divided by 91?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12 - -24 - 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 3 = 0. Let x = 0 + v. Suppose 2*i - x = 1. Solve -3*u + 0 = 2*w - i, 3*w = -5*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 14255 = -8*a. What are the prime factors of a?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a. Let l(k) = 4 - 2 - 2 - k**2. Calculate w(l(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6*k - 28 = -8*k, -2*g - 20 = -4*k. What is the common denominator of 33\/(-4)*(-220)\/(-90) and g + 1 - 61\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/3 - p**2\/2 - p + 21. Suppose -7*z = 5 + 9. Let d(h) = -2*h - 2. What is z*d(c) + 4*r(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwlw when four letters picked without replacement from lwwwlwwwlwwwww.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2419*w**3 - 1202*w**3 - 1187*w**3 + 2*w + 2*w.\nAnswer: 30*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 988 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3))**(1\/8)*(q*q**1)**28 assuming q is positive.\nAnswer: q**(673\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 20*m + 158. Let z be r(26). Let q be (z + 0)*(-98)\/(-28). Calculate the greatest common factor of 77 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcc when three letters picked without replacement from {c: 4, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 17*u**2 + 20*u + 34. Let l be h(23). Let z = -2245 + l. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)\/h**(2\/3))\/(h**(-2\/13)*h**(-3\/5)) assuming h is positive.\nAnswer: h**(56\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.5. Let a = 0.52 - -0.18. Let y = z - a. Does y = -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3240 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 5.85?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (798\/(-13832))\/((-6)\/8).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6)*((-336)\/33 + 11)*22\/(-11)?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 86 = -5*m. Suppose 0 = 9*a - 53 - 46. Calculate the highest common factor of m and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -26, -1, -4, -2111 in descending order.\nAnswer: 85, -1, -4, -26, -2111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**3 + 10*y**2 + 59*y - 42. Is k(-8) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 0 + sqrt(684))*2 + -5 + (4 + sqrt(171)*-1 + 6*(sqrt(171) + 0))**2.\nAnswer: 144*sqrt(19) + 4286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c - 1695. Let t(v) = 47*v + 6793. Calculate 23*p(h) + 6*t(h).\nAnswer: 6*h + 1773","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6124 - 11613 - c + 5426.\nAnswer: -c - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 579093807532029 - 0.4.\nAnswer: 579093807532028.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*x + 37, y - 1 + 7 - 17 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -987446\/9955 + -18\/1991. Let b = l + 100. Find the common denominator of -70\/3 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 7. Let l(u) = -17*u + 21. Suppose 3*s - 2*s = 6. Let n(v) = -50*v + 62. Let a(x) = s*n(x) - 17*l(x). What is 6*a(d) + 13*i(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-8)\/(24\/3)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 - 0.113. What is the third biggest value in p, -1\/6, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3\/2 (c) 3\/7 (d) 77\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 32*l + 4*l**3 - 21*l**3 - 48*l**2 - 5*l**3 - 4*l**4.\nAnswer: -4*l*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22202 (base 3) to base 10\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**2 + 15*x. Let l(m) = m**2 - 2*m. Let a(o) = 2*i(o) + 15*l(o). Let p(y) = 3*y. Calculate a(p(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k + a - 55 = 0, 5*a = -k + 63. Suppose -k = -2*b - 47. Suppose 3*r - 778 = -2*h, 0 = b*h + 2 + 1. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2913*d**2 + 2*d**3 - 5841*d**2 + 2919*d**2 to the form b*d**2 + j*d + n*d**3 + p and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107 = -19*r + 850. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 + 1343 = 41*w + 26*w - 344 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5802 + 18666. Is r a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 56*i**2 + 120*i - 154. Calculate the least common multiple of s(58) and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1. Suppose -x + 2*y - 7*y + 19 = 0, -4*y + 112 = 3*x. Let c = -38 + x. Let h(g) = 5*g + 6. Give c*i(v) - h(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 2, -4, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**4*i - 2*f**4 + 3224*f**3*i - 80*f**3 - f**2*i + 66*f*i + 4*f - 33*i - 3 wrt f.\nAnswer: 96*f*i - 48*f + 19344*i - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74*o**4 - o**3 - 1320*o**2*w - 73483*w wrt o.\nAnswer: -296*o**3 - 3*o**2 - 2640*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**5\/3 + 70*o**4\/3 - 25*o**3\/3 - 350*o**2\/3 + 20*o\/3 + 280\/3 = 0.\nAnswer: -14, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d = 184*d - 91*d. Solve d = -13*n - 4*n + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2161 - 4271\/2. What is the common denominator of -41\/1903 and i?\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -7. Let i = y + 3. Solve 3*o = -i*o - 3*k - 12, 4*o = 4*k - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yccq when four letters picked without replacement from {y: 7, c: 3, q: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c6601 + 6?\nAnswer: -1c65c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*u + 4*w - 13, 5 = -u + w. Suppose 4*y = 2*s - 24, -7*s + 2*s = -5*y - 55. Let z = u + s. Solve i + 2 = 5*d - 4, 4*i - 5*d + z = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10) + (-22)\/(1100\/(-230))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579229116 to the power of 1\/3, to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96694099 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 8890.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 15*w**2 - 13*w - 526. What is n(-15)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j + 3*a - 5910 = 0, 0 = -4*j - 5*a + 7881. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21503485 divided by -4300697?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/60 - 3*h**5\/40 + h**4\/6 + h**3 - 234*h. Let k(y) = 0. What is y?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 10}. What is prob of picking 2 q and 1 l?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187 - 21*w + 229*w**2 + 97*w**2 + 2187.\nAnswer: 326*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2*k + 1)*(-2*k - k + k) + (2*k + 0*k + k)*(4 + 4*k - 4))*(0*k**2 - 3*k**2 + 5*k**2) to b*k**3 + u*k**2 + o*k**4 + y*k + a and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -302130 (base 4) to base 7\nAnswer: -12261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/7 - 25398*v\/7 - 15891499\/7.\nAnswer: (v - 26009)*(v + 611)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhihfxhh. What is prob of sequence vhfi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13136 and 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y)*(-22*y**2 + 22*y**2 + 24*y**2).\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014699 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, r: 2}. Give prob of sequence qqqr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000295708347 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 221000000?\nAnswer: -220222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 8*m - 3*m - 2*m + 10*m.\nAnswer: 13*m + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/9 (b) -3\/7 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24991.32857 rounded to zero dps?\nAnswer: 24991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565905?\nAnswer: 5, 29, 31489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxxssssxx. Give prob of sequence sxx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 16. Sort o, 2\/5, 5 in increasing order.\nAnswer: 2\/5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -9*s**5\/10 - 3*s**4\/2 - 19*s. Find the third derivative of d(k) wrt k.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/225 + 20\/90*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + 2 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f + 3. Let m be c(-2). Suppose 3*s + 2*s + 4*x = -50, 0 = 4*s - 3*x + 40. Put m, -3, s in increasing order.\nAnswer: s, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167892, 335734, 503606, 671526, 839512?\nAnswer: 1007582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/12 and 23\/714.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**2 - 13. Let i(p) be the first derivative of -7*p**3\/3 - 6*p + 12. Calculate 13*i(d) - 6*y(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 146 - 49 - 54 - 53 + 5*v as u*v + f and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 6. Let m(c) = -c + 3. Determine 5*m(k) + 3*z(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**28\/(o*o*o*o**(2\/7)*o))**7 assuming o is positive.\nAnswer: o**166","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -8*n - 10. Sort n, 3, 0.\nAnswer: 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 28 - (3 - (-6 + -11)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 1 - 20*n - 24*n.\nAnswer: -40*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 70*t**2 - 252*t + 4094. What is the ten thousands digit of q(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564322 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183.00006 - -0.00006. Is 6 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -1734*t**2 - 3404*t - 2852. What is the first derivative of h(z) wrt z?\nAnswer: -3468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f**2 + f + 12. Let r be a(8). What is the highest common divisor of r and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.9, -1\/6, -11088?\nAnswer: -11088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l + 38 = -7*l. Let m = 2.02 - 0.02. Which is the closest to m? (a) 1\/4 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 4*m**2 + 2*m + 1. Suppose 10 + 10 = 4*f. Suppose f*b + 7 = -5*d - 8, 29 = 2*b - 5*d. Determine t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16.3 (b) -27 (c) -2.9 (d) 2\/13 (e) 3 (f) 5 (g) -3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 4, 0.1, -9, -3\/5, 7, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-322)\/(-7) - 0\/2?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 2*g + 1. Let q be p(-1). Let m(z) be the second derivative of -z**4\/12 - 3*z**3\/2 - 3*z**2\/2 - 19*z. Does 17 divide m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530069.\nAnswer: 31, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139300*v + 4*v**3 - 139300*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 18*l**2 - 18*l - 3. Let n be h(-17). Calculate the highest common factor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzkkyyzkkzk. What is prob of picking 1 z and 1 k?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v - 4*v)*(5 - 12*v**2 - 5)*(-2*v + 6*v - 2*v).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -461, 113 in descending order.\nAnswer: 113, 0.05, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -74, -162, -272, -398?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0 - 13\/150*i**5 + 1\/5*i**3 + 5\/24*i**4 - 1\/120*i**6 - 94*i**2 + 0*i. Determine d, given that g(d) = 0.\nAnswer: -6, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {b: 9, w: 4, j: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -3 - (-33 + 1). Let s = c + -15. What is the greatest common divisor of 154 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 2) + (-63)\/9 + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -7819.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-112) + 26\/(-7). What is the fourth smallest value in -1, u, -2\/7, -0.004, 1\/2?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -28. Let t = b + -4. Solve -5*z + z + t = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 30169740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 2*c - c - c + 2*c - 3*c + 5*c - 2*c - c + (-4*c + c + c)*(1 + 2 - 4) + 0*c + 2*c - c + 2*c + 3*c - 7*c + (c + 1 - 1)*(2 - 4 - 2).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*j - 16*j. What is the nearest to 1 in 248, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 5*g**2 + 4*g + 2. Let u be j(-4). Suppose -1 = u*v - 3*v, -3*v - 217 = -4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*w + h**3 + 2*h*w**3 - 231*w**4 + 2195 wrt w.\nAnswer: -h**3 + 6*h*w**2 - 924*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 594855*z**2 + 1652961 wrt z?\nAnswer: 1189710*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 336 - 336)*(3 + 0 - 2)*(7 - 14 + 6).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/2 + -305 + (-15)\/(-3). Let o = 284 + y. Let l be (-1 - -2) + 16*-1. Is l greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*s = -210*s - 2*o + 5, 5*o - 20 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*q + 3, z - 5*q - 1 - 8 = 0. Let k be (975\/(-52))\/(z\/80). Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9602 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 0. Suppose -b - m = -5*b. Find the third derivative of n**5 - 2*n**2 + 0*n**2 + 3*n**b wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210201.\nAnswer: 3, 70067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915*t - 2619*t - 3596*t = 31145 + 74545 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37\/2 of a millisecond?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y**2 - 5*y - 3. Let p(s) = 14*s**2 - 2*s - 2. Let w(d) = 5*p(d) - 2*x(d). What is the derivative of w(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 + 505. What is the greatest common divisor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 578*m**7\/273 + 3553*m**6\/195 + 2814*m**5\/65 + 45*m**4\/13 - 18*m**3 + 81*m**2\/13 - 890*m. What is d in h(d) = 0?\nAnswer: -3, -1\/2, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.96 - -0.04. Let f = z - 4. Let s = f + -3.9. What is the third smallest value in 0.5, s, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and 17\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 7*l - 4. Let o be g(-6). Let f(w) = -w**2 + w + 1. Let x = 255 + -256. Let k(s) = -s**2 + 2*s + 4. Calculate o*f(p) + x*k(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16692 - 15605. Is 185 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133073 is divided by 3696?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 9*h - 8 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 2550, 1\/3, 0.048, -2\/11, -7, -0.2?\nAnswer: 2550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -2. What is the remainder when 88 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8312.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*f**2 - 4 + 89*f**2 + 4 - 62*f**2.\nAnswer: 416*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.5 (b) 4 (c) -0.2 (d) -589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83589091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 36 = -30. Let i(j) = j**2 + 3*j - 2. Let b be i(-6). Let y = c + b. What is the greatest common factor of 243 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7631, 7252, 6625, 5750, 4627, 3256?\n\"Answer: -124*u**2 - 7*u + 7762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 5450*b**3 - 7436517*b**2 - 29680700*b - 29658916.\nAnswer: -(b + 2)**2*(b + 2723)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15274438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11191777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njhhnyh. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 84?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/12 + x**3\/6 + x. Let v be j(1). Let g(s) = -2*s**2 + v*s**2 + 4*s**2. Let h(w) = -w. Give h(g(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*b - 567*b - 9 = 2*j, 181*b = 14*j + 265 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -34*u**3\/3 - 2. Let v(z) = 2*z**2. Calculate v(p(y)).\nAnswer: 2312*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-672)*-63*-4*1\/3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -70ed2?\nAnswer: -70ed4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/172635930 and -73\/3450.\nAnswer: 863179650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/749 - -1480\/6741. What is the closest to 1\/5 in -2\/3, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -3311608.\nAnswer: -4967412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 - h**2 - 1. Let d be 2 - 5\/((-15)\/(-12)). What is m(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3\/8*k**3 + 3\/2*k + 159 + 3\/16*k**4 - 3\/2*k**2 - 3\/40*k**5. Solve q(c) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**2. Let y(p) = 43*p. Calculate y(h(q)).\nAnswer: -258*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-40)*(-8)\/36\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135341241*f**2 - 469464839*f wrt f.\nAnswer: -270682482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 24\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 - 19 = 0. Suppose f - k = -0. Is 52 - (-5 + f + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 3*b - 1. Let n be t(-3). Let s(f) = 2*f**2 + 2*f + 1. Let z(j) = j. What is n*s(h) + 2*z(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 10) to base 16.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 + 441 + 104 = 2*c. What is the lowest common multiple of 510 and c?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l + 52 = 0. Suppose -7*d = -2*d - 105. Let q = d + 15. What is the remainder when q is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12))**(21\/8)\/(k**1)**(-49))**(-18) assuming k is positive.\nAnswer: k**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 6*l**2 + 2*l + 2. Let i be y(3). Let r(d) = -58 + 60 - i*d - 4*d**2 + d**3 + 2*d. Calculate r(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -3\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*t**2 - 107*t + 107*t + (3 - 3 + 2*t)*(-13 + 7 + 12)*(-2*t - t - t) to the form v + g*t**2 + s*t and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + 0*f)*(-5611 - 153 - 1098 - 3*f) in the form d*f + k*f**2 + o and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181 + -109. What is the remainder when y is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1208*t - 2421*t = 2*u - 1210*t - 11, -u - 1 = -5*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 14, -0.3, 8\/15, -5, 1\/8 in increasing order.\nAnswer: -5, -0.3, 1\/8, 0.5, 8\/15, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 6269785?\nAnswer: 6269785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 j when four letters picked without replacement from rzjjj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:06 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - -13. Suppose -5*r = 4*x - b, -4*r = 2*x - 39 - 15. Solve 0 = -4*w + w - r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614897527 - -14905?\nAnswer: -614882622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -381?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*a + 5 + 15 = 0, -a = -4*y + 4. Let s(x) = 160*x**3 - 5*x**2 + 40*x + 3*x**y - 39*x - 1. Is s(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 37335.\nAnswer: -8, 4, 37335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -63. Let y = -39 + z. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*j)**(13\/4)\/((j**(-18)\/j)\/j**20) assuming j is positive.\nAnswer: j**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3126 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 20, -4*d + 7*d = m + 12. Suppose 14 + 2 = 4*p. Suppose -j = 3*s - 18, -p*j - s = -m*s - 2. Solve 6*h = 2*h, z - j = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(12 + -3)*15. Let u(h) = h**3 + 6*h**2 + 5*h. Determine u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 5*n - 2*n - 6*n to a*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 14 = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5 - 75*g**4 - 519*g**3 - 1173*g**2 - 1104*g - 372 = 0. What is g?\nAnswer: -2, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3062 is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 147*x + 1677786 + 2334486. What is x rounded to the nearest one hundred?\nAnswer: -30400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)\/j)\/j**(2\/31))**(2\/37)*((j**(3\/4))**(3\/10))**(6\/7) assuming j is positive.\nAnswer: j**(19993\/160580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-31)\/(c**(4\/23)\/c))**(-3\/5) assuming c is positive.\nAnswer: c**(2082\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0 + 1\/15*g**6 + 0*g**2 + 7*g + 5\/6*g**4 - 2\/3*g**3 - 2\/5*g**5. Factor w(p).\nAnswer: 2*p*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2316 and 11805424.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7595*z + 7600*z + 0 + 4 - 3. Let f(i) = -45*i**2. Give p(f(w)).\nAnswer: -225*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 20*c - 20. Let s be z(-15). Let r = s - -17. Let o = 4 + r. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108840, -108839, -108838, -108837, -108836?\nAnswer: -108835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3866663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:57 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*f - 446 = 1101 + 505 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115444 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 5 = -2*q, -2*q = 2*o - 2. Let c(y) = -10*y - 3. Let r(t) = 29*t + 8. Let v(x) = o*r(x) + 8*c(x). What is the units digit of v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(156)*2)\/(-2*sqrt(1728)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7465981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*u - 927 + 921, -5*x - 3*u + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2743, -5412, -8083, -10756, -13431?\n\"Answer: -l**2 - 2666*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 7*z + 7. Suppose -180 = -63*g + 60*g + 33*g. Let x(b) = -8 + b**2 + 3*b**2 + 3*b - 11*b. What is g*d(w) - 5*x(w)?\nAnswer: -2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 1216?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.59065533 to 3 decimal places.\nAnswer: -3.591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242125 (base 6) in base 12?\nAnswer: -33345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/12 - 6*k + 47. Let q(w) = -626*w**2 - 1. Give q(d(n)).\nAnswer: -626*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 407, 609, 809, 1007, 1203, 1397?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (107\/(-321))\/(2 - 31\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 + 1. Let j(a) = -7*a**3 - a**2 - 6*a + 11. Let n(f) = -j(f) + 6*r(f). Suppose 5*t - 3*t = 10. What is the units digit of n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 403 + -221. Let o = z + 287. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1394, 2791, 4194, 5603, 7018, 8439, 9866?\n\"Answer: 3*g**2 + 1388*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k - 7. What are the prime factors of (-3)\/(-3) - 57\/k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 180*y**2 + 1906*y + 1133. What is w(-190)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 251 + -248. Find the second derivative of 5 - 1 + 48*v**2 + 13*v + c - 5 wrt v.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - (0 - 0). Let o = -6\/5 + 7\/10. Let w = 5417 - 5421. Put w, q, o in ascending order.\nAnswer: w, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 13*l**2 - 1\/160*l**6 + 0 - 11\/32*l**4 - 5\/8*l**3 - 7\/80*l**5 + 0*l. Factor y(j).\nAnswer: -3*(j + 1)**2*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 3. Let t be o(4). Suppose -7 = -3*w + 5*y, -3*w + 8*w - 3*y = 17. Solve w = t*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 40412561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 + -237 + (2 - 5) + -7 + 0 - 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5851, 11715, 17579, 23443, 29307?\n\"Answer: 5864*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*b + 138 = 0, 4*c = 5*b - 52 - 224. Let j = -54 - c. Calculate the remainder when 88 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 56 = 36. Suppose -3*h = r - 107. Let c(w) = -3*w + 21. What is c(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248*u - 63*u - 64*u + 40*u**3 - 60*u - 355 + 28*u**4 - 60*u wrt u?\nAnswer: 336*u**2 + 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -100. Suppose -12 = -3*a - 5*d + 3, -2*a = -5*d + 15. Suppose x - 36 = -a*x. Calculate the remainder when q is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-30)\/144)\/((-25)\/60*-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose -2*l = -p*v + 8, 0*l = 4*l + 5*v + 16. Is (-1288)\/12*6\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142, 262, 382, 502, 622?\n\"Answer: 120*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2770.557 nanograms to milligrams.\nAnswer: 0.002770557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -638972571280 - 2\nAnswer: -638972571282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - f**2 + 2 + (-434*f - 343*f - 53*f)*(-5*f - f + 2*f) to the form r + y*f + j*f**2 and give j.\nAnswer: 3319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184 = -74*w - 181 + 403 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**3 + 4*z**3 - 2*z**3 + (-z + 0*z - z)*(0 + 0 + 2*z**2))*(-z - 11*z - 15*z) in the form j*z**3 + q + p*z**4 + l*z + m*z**2 and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 36 = -2*d + 3*f, -121 = 3*d - 4*f. Let t = 297 - 335. Is t <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/10))**(1\/33))**(-6\/19) assuming n is positive.\nAnswer: n**(3\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4755904 divided by -16.\nAnswer: -297244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -40*v**3 - v**2 - 4*v - 4. What is the remainder when l(-1) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3632170 divided by -5.\nAnswer: 726434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 4 - -14) + -8 + -27 - -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/8)\/(a**22*a)*((a*a**(-2\/5))\/a)\/a*a\/a**(-30) assuming a is positive.\nAnswer: a**(289\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 4*k**2 - 14*k + 11. Determine a(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116488 is divided by 577?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 37 = 6. Let w = j - 26. Suppose 4*n - 4*l - w = -1, -5*l + 1 = -2*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1004 - -1013. Which is the second smallest value? (a) 4.4 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156940 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/51, 7, -2\/7, 12?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 3*h**2 + h**2 + (-1 + h + 1)*(2*h + 2 - 2))*(3*h**2 - 5*h**2 - 4*h**2).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1. Let n(m) be the first derivative of -m**2 - 5*m - 15. Let q be (-1)\/(-2) + 3\/6. Determine q*n(v) + 5*y(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:26 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -652047597 and 2.6977.\nAnswer: -652047594.3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(4\/60). Put 2, -5, q in decreasing order.\nAnswer: q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6617.\nAnswer: 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56441172 divided by 8702.\nAnswer: 6486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 less than 0.143?\nAnswer: -471.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84 from 0.1.\nAnswer: 84.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/12 - 4*v**2 + 173. Let r(k) be the second derivative of -75*k**4\/4 - 2*k. What is r(z(t))?\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6991*g - 776004. Give d(-111).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 15238?\nAnswer: 106666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/12435695 or 0?\nAnswer: -3\/12435695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1305 by -9.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -226, -240, -252, -262, -270, -276?\n\"Answer: l**2 - 17*l - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789 - 789 - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.036 - -4.536. Let f = 5 - i. Which is the closest to 0.3? (a) -4 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 11264197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 10*w**2 + 15*w - 38. Let i be b(11). Calculate the greatest common divisor of i and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-342)\/(-47196))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 3*m**3 + 117 - 7*m**3 - 7*m**3.\nAnswer: -14*m**3 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -106\/315 and 41\/2.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(2*a - 2*a - a**3) + 6*a**3 - a**3 - 3*a**3 + (80 - 80 + 11*a)*(4*a**2 - a**2 - a**2) - 2*a**3 + 1 - 1 + 418*a - 418*a + 19*a**3.\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680 equal to 5681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.63445l in millilitres?\nAnswer: 50634.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 172580*m - 345176 = 0. Calculate m.\nAnswer: -2, 43147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10765592*w. Let l(v) = v. Calculate l(z(c)).\nAnswer: 10765592*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 817 - a2?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16 and -29\/97936?\nAnswer: 97936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 130*c. Let d(b) = 7318*b**2 + 2*b. Calculate o(d(s)).\nAnswer: 951340*s**2 + 260*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a2 + 2?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*s - 4637 - 653, -2*s + 2117 = -a. Is s 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 {s: 1, n: 1, f: 1, e: 1, a: 1, r: 2}. What is prob of sequence ea?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/176 and (-2031)\/1344 - (-2)\/(-6)*765\/(-170).\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 5:21 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*n + n**2 + 903 - 4*n**2 - 1001 wrt n?\nAnswer: -6*n + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*y + 4*k + 9, 0 = y - 3*k + 23. Is y < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 236752467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 2*v**3\/33 + 80*v**2\/11 + 3200*v\/11 - 412. Factor h(j).\nAnswer: 2*(j + 40)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288132841?\nAnswer: 288132841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/13 + 42*g**2\/13 - 44*g\/13 = 0. What is g?\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2310, 0.4, 0.1, 0.5.\nAnswer: -2310, 0.1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*v + 533*v + 531*v + 0*v**3 + 31 + v**3.\nAnswer: v**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3102 (b) 2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8476272 years?\nAnswer: 10.1715264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 629 + -629. Which is the closest to 1\/6? (a) -0.1 (b) 0.3 (c) j (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 1555 + 1155 = 0. Let a = -34 - d. What are the prime factors of a?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*k + 126 = 136, -3*z = -3*k + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32245113 is divided by 461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/40 - 3*h**3 - 16*h. Let r(o) be the second derivative of y(o). Let m(z) = -2*z**2. Calculate m(r(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 5. Let f be b(-7). Suppose f*j - 30 = -3*j. Which is bigger: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 2, e: 4}. Give prob of picking 3 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nmnndnrdddn.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(14\/(-3))*(-12)\/(-27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5509, -44112, -148883, -352906, -689265, -1191044, -1891327, -2823198?\nAnswer: -4019741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 b when three letters picked without replacement from {n: 1, f: 7, g: 2, b: 3, i: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.6 + -7.1. What is the second smallest value in z, -2\/15, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.93388ml in litres?\nAnswer: 0.03193388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 17 - (-87 + 69)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 35, 18, 3, -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + k - 6 = 0, 0 = k + 2. Let o = 37 - 110\/3. Which is the nearest to 2\/3? (a) o (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(720\/35))\/1.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 14*u + 14. Give z(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509 is divided by 358?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 5006?\nAnswer: 45054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8\/97, 0.1, 8?\nAnswer: 8\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 2*y - 1. Let h be w(1). Let m = 0.04 - 0.04. Let n = m + 0. Which is the third biggest value? (a) n (b) h (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s + 491. Calculate the remainder when l(-35) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -511?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 111*s + 1678. Let j be f(-18). Solve -j = 19*x - 20*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266852 less than or equal to -269857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3 and -103\/56694.\nAnswer: 56694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 5*n + 3*n)*(96 + 325 - 104)*(n + 0*n + 2*n) - 4 + n**2 + 4 to v + s*n + f*n**2 and give f.\nAnswer: 6658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-214)\/10 - 6\/(-15). Let r = -7 - h. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 3210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 21, -54, -183, -378, -651?\n\"Answer: -2*i**3 - 9*i**2 + 8*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Suppose -u = -5 - y. Let i be -2 + u\/(5\/33). Solve -i = -5*j + 2*p, -j + 5 - 3 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412593265 to the nearest integer?\nAnswer: 20312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4150*a = -n + 4145*a + 9, 0 = 9*n - 8*n - a + 9 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 8*v + 3*v)*(-2*v + 3*v + v) + v**2 - 7*v + 7*v + (-4 + 3 + 2)*(5*v**2 - 4*v**2 + v**2) - 8 - 5*v**2 + 8.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 542.1 + -542. What is the closest to 1 in 4\/3, u, -2\/13, -16?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284253 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187320*j**2 + 27*j*y - 195665*y + 4 wrt j?\nAnswer: 374640*j + 27*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 43*f = 42*f - 43187, 28784 = 2*t + 3*f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*b = 2*k - 16, 0 = -5*b + 20. Suppose 13*n - 8 = 11*n. Calculate the smallest common multiple of n and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 5*a**2 + 2*a - 4. Let n be u(4). Let x = 11 - 20. Let v = x + n. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let y(u) = -u**3 + u**2 + 3*u + 1. Let g be y(-1). Suppose -t*o + p = -2*p - 4415, g = p + 5. What is o rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57.1883*-3330\nAnswer: 190437.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1356*s. Let r(o) = -138*o + 19*o + 118*o. What is r(i(x))?\nAnswer: 1356*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373034*d**2*p**4 - 2*d**2*p + 883222*d*p**2 + 2*p**4 wrt p.\nAnswer: 8952816*d**2*p + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9191 (base 11) to base 9.\nAnswer: -17655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -1113, -4000, -9705, -19188?\nAnswer: -33409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 55 - 91 = 0. Let g be -30 - b - (2 + 1). Solve -2 = -g*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1.17.\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 20*j**2 - 76*j + 191. What is c(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -772*i - 351*i - 32604645 + 32604647 to the form s + c*i and give c.\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 20. Let w(g) = -g**3 - 8*g**2 - 2*g + 9. What is the tens digit of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - 6*(sqrt(189)*1 + sqrt(189))) + sqrt(189))\/(sqrt(9)\/(sqrt(3) - (sqrt(3) - -2*sqrt(75) - sqrt(3)))).\nAnswer: 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20074, 80369, 180874, 321589, 502514?\nAnswer: 723649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681023.\nAnswer: 7, 271, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/6, -64\/5, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*j + 4*j + 7*j. Let v(f) = -4*f + 10. Let m be v(0). Solve j = -m*u + 7*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (684\/(-120) + 6)\/(4\/(-10))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 2 + 14*h**2 + 3 + 10*h**2.\nAnswer: 19*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 - 6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 13. Calculate k(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n**2 - 10*n + 6. Suppose 3*t + 3*w = 0, -79 = -t + 5*w - 49. Give j(t).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -5*b, 269 = n - 2*b. Let w = 109 + n. List the prime factors of w.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251081101.\nAnswer: 29, 8657969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4440*i - 1 - 10*i**2 - 370*i - 562*i - 284*i.\nAnswer: -10*i**2 - 5656*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j - 2. Suppose 0 = -j*b - 10, 0 = -g - g - b - 11. Let r = g + 8. Solve r*t - k - 50 = -6*k, 4*k = t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -24. Are -0.01 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 4*w - 204*w**2 + 3*w**2.\nAnswer: -201*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 - -10 - (7 - (-2 + 23))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/10))\/z)\/z*z\/z**(-1\/9))\/(z\/(z*(z**(1\/3)\/z)\/z))**(4\/15) assuming z is positive.\nAnswer: z**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2. Let n(x) = -6*x**3 + x**2 + 2*x + 1. Let z be n(-1). Let u(y) = z + y - 1 - 5. What is u(c(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - y**3 + 42*y**2 + 40*y**2 - 50 - 48*y**2. What is the tens digit of k(34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 132 - 132.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13768)\/(-6884))\/((-26)\/44 + 1\/2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let f(v) = -v**2 + 8*v + 14. Let i be f(9). Sort i, a, 6\/5 in decreasing order.\nAnswer: i, 6\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 432.538 + -432. Let w = 0.536972 - g. What is w rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*p**3 - 607*c**3*p + c**2*p**2 - 4*c*p**3 + 125*c*p wrt c.\nAnswer: 12*c*p**3 - 3642*c*p + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*b - 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -479*b**3 + 26337493 - 26341374 + 3007*b**3 with respect to b.\nAnswer: 7584*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -862 + 1451. Let a = 580 - r. Let v = 2.6 + -3. Put v, 0.3, a in ascending order.\nAnswer: a, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38717 to 2 dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/(z*z*z*z*z**2*z))\/z)\/z)\/z**(-2\/7))**(-3\/31)*(z**(-2\/7)\/z)**(-1\/7)*z**3*z**(1\/10) assuming z is positive.\nAnswer: z**(59749\/15190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 3, i: 3}. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {h: 5, d: 3, s: 4, q: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**5 - 14*q**4 + 8*q**3 + 3614*q wrt q?\nAnswer: 120*q**3 - 168*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.305783ml in litres?\nAnswer: 0.006305783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100637 (base 12) in base 6?\nAnswer: 5204111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 5*r - 6*r)*(2*r**2 - 2*r**2 + 3*r**2) - r + 0*r - 4*r**3 + 2*r**3 in the form q*r + n + g*r**3 + b*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 504135?\nAnswer: 504151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, 0.13, -0.3, 93\/19, -24?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2111711 or 78133298\/37?\nAnswer: 78133298\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1\/44 (c) 1 (d) 2 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 58 = -t, -48*t - 1607 = -49*t - 107*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/15 - 7256522*s\/15 - 7256516\/5 = 0 for s.\nAnswer: -3628258, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.1328 to one decimal place.\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 6*j**5\/5 - 10*j**3\/3 + 15. What is the third derivative of p(o) wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4161, 868, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-28))\/((8\/14)\/(-4)). Let v be 195599997\/y + 69\/(-46). What is v rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60286 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -114. Is 43 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 9*o - 34 = 0. Solve -5*w - d + 17 = 0, -5*d + 3 = -4*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6524, 0.07, 1\/4, -0.5, 0.1, -0.01, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -215 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4873, 3, -3, -2, -4\/17, 4 in decreasing order.\nAnswer: 4873, 4, 3, -4\/17, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - w**3 + w**3 + 4*w**3 + 19*w**3 + 40*w**3 - 2*w**3 + 0 + 0 + (-w**2 + w**2 + w**2)*(3*w - 3*w + 2*w) + 2*w**2 + 2*w**3 - 2*w**2.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 8, -12, -42, -82, -132?\n\"Answer: -5*n**2 + 5*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 31*z - 3*z - 22*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z**3 - 3*z**2 - 2*z + 4. What is the units digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/40*-5*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 82. Let j(t) = -t + 1. Let i(y) = -12*y + 7. Let c(s) = m*i(s) - 6*j(s). What are the prime factors of c(12)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - 4 + 3)*(70*z**2 - 107*z**2 - 75*z**2).\nAnswer: 112*z**3 + 112*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8338975\/207 + -40285. Calculate the common denominator of m and 65\/1012.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 982 or 0?\nAnswer: 982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -32. Suppose 2*x - 35 = -i*x. Suppose -3*w - 4*n + 1344 = -x*n, -12 = -4*n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321a27 (base 14) in base 10?\nAnswer: -1695043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 6. Let k be p(-6). Let s(y) = y**3 + y**2 - y + 12. Let b be s(k). What is the greatest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1791498509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(56)\/(sqrt(24)\/sqrt(3) + sqrt(8))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - k + 8 = 0, k - 14815 + 14796 = -14*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 27. Let j be q(-17). Calculate the highest common divisor of 15 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/97 (b) 1 (c) 4 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2225 or 378988?\nAnswer: -0.2225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272\/(-68) + (-1 - -5708).\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/45)\/(-16*(-4)\/(-20) - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(17) - sqrt(17)) + 5 - (1 + sqrt(2057)))*4.\nAnswer: -48 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 2277255 - 657255. What is a rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1539) + 4 + sqrt(1539)*1 + 3.\nAnswer: 4 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyhhhyhkbhrhkhhkykh. What is prob of picking 1 y and 1 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 16a9ba?\nAnswer: 16a9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*t = -512*t - 240. Solve -x = -u + 3*u - 6, -4*u + t = -x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 5*i)*(-2 - 1 + 1)*(6 - 2 - 2)*(-216*i - 11132 + 11132).\nAnswer: -864*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313489\/20 + -15680. Find the common denominator of h and 71\/558.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1428\/(-816)*(8\/(-14))\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = 1280. Suppose 94*r = 115*r - 672. What is the greatest common divisor of r and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*u - 75*u = 144 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -1*sqrt(15)\/sqrt(3)) + (sqrt(5) - (sqrt(5) + 1 + sqrt(180))))*4.\nAnswer: -16*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3214 (base 12) to base 6\nAnswer: -41224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w**2 - 1172*w - 1212 = 0. Calculate w.\nAnswer: -1, 303\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844206279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2700, -5511, -8408, -11391, -14460, -17615, -20856?\n\"Answer: -43*h**2 - 2682*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 326923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (232\/203)\/(1*(-4)\/(-14)). What is the biggest value in 0, -2, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 18. Let b = a - -12. Suppose -l - l = p - 29, l + b*p - 10 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1894\/(-20))\/(3 - (-51)\/(-15)). Let a = s - 238. Calculate the common denominator of a and -43\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m + 84. Let p = m - 17. Suppose 0 = 4*j - 0*j + p*f - 20, 0 = 4*f - 20. Solve j = 3*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = p + k - 27, 4*k - 28 = -p. Let m be (p\/(-56))\/(8\/252). Which is smaller: -15 or m?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpgwgwppwp. What is prob of sequence pp?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 275\/20 + (-6)\/8. Let r = v + -9. Let p(z) = 2*z**2 - 2*z. Let k be p(2). Solve t = -k*u + u - 1, 5*t = r*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 230*x - 232*x - 2, -4*j = 2*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.11098 milliseconds in hours?\nAnswer: 0.00023225305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57775 divided by -25?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.01 and 0.45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3\/2, -0.5, -4\/3, -0.4963, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1290 + -1269. What is the remainder when 35 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 783720*w - 133174600.\nAnswer: -2*(w - 391690)*(w - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2\/5 + 51098*o\/5 - 306516\/5 = 0.\nAnswer: 6, 25543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 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: Calculate the remainder when 172042 is divided by 2773.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)\/(d\/(d**(-2\/9)*d)))\/(d*(d*d\/d**(-1)*d*d)\/d)**(11\/5) assuming d is positive.\nAnswer: d**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450994955?\nAnswer: 5, 17, 5305823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 1, -3, 3.\nAnswer: -6, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhhfxkfhffhfff. What is prob of picking 1 f and 2 h?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 11*z**2 - 26*z - 11. What is the units digit of b(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 2387243*k**2\/4 - 356186353752*k + 3917977677504.\nAnswer: -(k - 1193616)**2*(k - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1867*a**6 + 308*a**2?\nAnswer: 224040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9164\/(-72917) - 8\/284?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(95)\/sqrt(5) - (sqrt(171) + 1*sqrt(171))\/sqrt(9))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9335*v + 28 = 9337*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 163.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 divided by 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -40064*z + 480156. What is s(12)?\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7456854, 14913702, 22370550, 29827398, 37284246?\nAnswer: 44741094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 4 + n**3 - n - 11*n**2 - 5. Let q = 32 - 21. Let s be a(q). Solve -3*j - 2 = -0*m - s*m, 0 = m + 2*j + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -36, -77, -142, -237, -368, -541?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2412 and 6?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p**3 + 10*p**3 - 5*p**3)*(-2 + 0 + 1) + (p + 0*p + 0*p)*(10*p**2 - 17*p**2 - 31*p**2) to h*p**2 + a*p**3 + y + z*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 2. Let m(w) be the third derivative of w**4\/24 + 207*w**2 - 2*w + 1. Determine i(f) + 4*m(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 600.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 divided by 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 29*d + 13. Let l(z) = -z**2 + 14*z + 6. Let i(n) = -13*l(n) + 6*s(n). Let y be i(11). Let a = y - 10. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -37, -53, -69, -85?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186 - -577?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsz when three letters picked without replacement from szzss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071 = -5*s + 83*s + 75*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -249\/2564 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t**2 + t. Let v be i(6). What is the remainder when (-46)\/(-4) - v\/(-4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6229800 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 22*g**2 - 133*g + 14. Give r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12620, -12558, -12454, -12308, -12120?\nAnswer: -11890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2984*v**3*y**2 + 7*v**3*y - 38*v*y + 2 wrt y?\nAnswer: -5968*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*a + 35, o + 2*a + 924 - 912 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/9, 33, -1 in descending order.\nAnswer: 33, -2\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -17288?\nAnswer: -12101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970 - 1715 - 98*f + 969 - 225.\nAnswer: -98*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 228, -3, 3\/8, -4, -5?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**25*o*o**(4\/11)\/o*o assuming o is positive.\nAnswer: o**(290\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 23048.\nAnswer: -11\/11524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 + 160. Let b be 0 + ((-18160)\/16)\/5. Let o = b + p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, 780, 3200, 7908, 15666, 27236?\nAnswer: 43380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 420205 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25463171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-4))\/(6\/24). Let h(g) = g + 0*g**3 - 2*g + 4*g**3. List the prime factors of h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1385994\/14 - 12\/(-28). What is m rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:03 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -307*d + 763. Is a(-48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 48.5. Let g(q) = -q - 11. Let x be g(-6). What is the closest to 0 in j, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32186 is divided by 585.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -25*q + 270. What is b(5)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3316 and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Let n be 74\/10 - p\/15. Suppose 28 - n = 4*u - z, -4 = 4*z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = 528*o - 591*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -30. Let f = -77 - -157\/2. Let i = -0.1 - -1.1. Which is the third biggest value? (a) n (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 984*k**2 + 6*k**3 - 3*k - 984*k**2 + 3. Let w(t) = 12*t**3 - 5*t + 5. What is -5*s(r) + 3*w(r)?\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011110100 + -11101111011?\nAnswer: -10011001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63163*g**2*l**2*p**3 + 13*g**2*l*p + 2*g*l**2*p**2 - 3*g*l**2 - 25*g*l - 4*l**2 + l*p wrt p.\nAnswer: -378978*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*g + 12 = 0, m = 2*m + 4*g + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkkkrkrrtkrrrt. Give prob of picking 2 r and 2 k.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 621203.2 litres?\nAnswer: 621203200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -63. Calculate the greatest common divisor of 210 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16 = -4*j. Let d(g) = -3*g**2 - 7*g**3 + j*g**3 - g**2. Let z be d(-4). Solve -4 = 2*a - z*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47993856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d*d)**(-11\/3)*(d*d**(-3))\/d**4 assuming d is positive.\nAnswer: d**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26111851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g**2 - 6091768*g - 1929257 with respect to g.\nAnswer: 12*g - 6091768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2267, 2434, 2545, 2606, 2623, 2602?\n\"Answer: h**3 - 34*h**2 + 262*h + 2038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**7*s**(-12))\/(s**1\/s**(3\/7)))**27 assuming s is positive.\nAnswer: s**(-3510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzjjjzzzzjjzz. What is prob of sequence jzj?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + o - 6 - 1, -10 = -5*w - 2*o. Let y = -8 + w. What is the biggest value in y, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.51 or 56383?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - (-22)\/(-4). Let f = -0.2 - -0.3. Let p = -0.3 + f. Which is the third biggest value? (a) y (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 235461 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:43 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1680 - -1678. Let h be (-116)\/(-36) + x\/9. Let s(l) = -l**2 - 5*l + 1. Let r be s(-5). Solve -h*p + r = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13255.45ml to litres.\nAnswer: 13.25545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 6. Let v(m) = -151*m. What is v(f(k))?\nAnswer: -604*k**2 + 906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (11 - 10) - -8) + 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15544)\/(-550) - 110\/605 - 54\/675.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3729*o - 10813*o + 3506*o + 3576*o - 8*o**2.\nAnswer: -8*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*k + 0*k + 12 = 0, -4*k = 4*x + 12. Is -2 + (x - (0 + -73)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, b: 4, x: 2, l: 7, f: 3}. What is prob of sequence bfz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21679661*d**3 - 9*d + 437625.\nAnswer: -130077966*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-12 - (-21 + 2))) + 17 - -34?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81143, 162293, 243443, 324593, 405743, 486893?\nAnswer: 568043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x - 7. Let r(s) = -s**3 + 6*s**2 + 10*s - 14. Let q be r(7). Give d(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -2)\/(-6))\/(814\/(-178266))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 28 + 10\/7*d**2 + 1\/7*d**3 = 0 for d.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343\/36 + 39\/4. Put o, 19, 5\/6 in descending order.\nAnswer: 19, 5\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + t**2)*(-t**3 - t + t) + 2*t**3 + 2*t**5 - 2*t**3 + 73*t**4 + 22*t**5 - 73*t**4.\nAnswer: 23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81425, -81431, -81443, -81461, -81485?\n\"Answer: -3*y**2 + 3*y - 81425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20193593 to the power of 1\/2, to the nearest integer?\nAnswer: 4494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 2. Let x(d) = -d + 1. Let m(l) = -i(l) - 3*x(l). Let v(f) = -f. What is m(w) + 4*v(w)?\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 168, -6\/13, 1\/5, 3, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:57 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 279 + (-168 - (4 + -37))\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -6. Suppose 26*i - 20*i - 192 = 0. Calculate the greatest common divisor of i and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/22 - 10*l**3\/11 + 32*l**2\/11 + 24*l + 1793. Factor x(g).\nAnswer: 2*(g - 11)*(g - 6)*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - c + 14 = 9, 4*c - 21 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2. Let i be l(-3). Let b = i + 68. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (4*(((sqrt(432) - (sqrt(432) + 4)) + 0 - sqrt(432)) + sqrt(432) + 0 + -2))**2).\nAnswer: -3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 equal to 757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 13 (c) 6 (d) 213 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 674.33238us?\nAnswer: 0.00000018731455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -144fb65c - 5?\nAnswer: -144fb661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.8. Let d = 2.152 - 0.085. Let t = -0.067 + d. Which is the nearest to u? (a) t (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14590019 to the power of 1\/2, to the nearest integer?\nAnswer: 3820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91607292 rounded to three decimal places?\nAnswer: 2.916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5367, -10748, -16143, -21558, -26999, -32472, -37983?\nAnswer: -43538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*((-1100)\/(-125) + (-136)\/17)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**5 + m**5 + m**5)*(-64 - 78 + 172 + (3 - 5 + 1)*(-2 - 1 + 0)) + 3*m**5 + 3*m**5 - 4*m**5.\nAnswer: -31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -22 - (6 + -1 + -15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/23)\/(p\/((p\/((p*p**(-16)\/p*p)\/p*p))\/p)*p))\/(p**(-9\/7))**(10\/11))**(-1\/24) assuming p is positive.\nAnswer: p**(-25247\/42504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833617895?\nAnswer: 5, 1721, 329299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 158 - 212 = 0. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 5:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 3}. What is prob of picking 2 z and 2 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 2 + 2)*(4 - 4 - 1) + 2 + 2*n - 2 + 28*n + 28*n - 6 + 7 to g + b*n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2. Let j(n) = 1722103*n - 3. Give j(l(o)).\nAnswer: 8610515*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)*g*g**8)**48*(((g**(2\/9)\/g)\/g)**24)**(-19\/5) assuming g is positive.\nAnswer: g**(150064\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 2*f**2 + 1. Let s be i(-2). Let o = -268 + 272. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1573)*1 - (-5 + 2*sqrt(208))**2.\nAnswer: -857 + 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/4)\/j)\/j)\/j*j*j)\/(j\/(j**(-1\/2)\/j))*(j**(-1\/2)*j)**(9\/4) assuming j is positive.\nAnswer: j**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2124048 rounded to three dps?\nAnswer: -1.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*a + 52 = 0, 2*a = -3*p + 72 - 8. Let q(w) = -w**3 + 18*w**2 + 6*w - 96. What is the remainder when 105 is divided by q(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-18)\/(z**(3\/10)*z))**(-1\/63))**(-5\/9))**(-14) assuming z is positive.\nAnswer: z**(193\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.2. Let j be (-53)\/11 - 14\/77. What is the closest to g in 0.5, j, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m - 1316. What is the lowest common multiple of b(51) and 4088?\nAnswer: 20440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9822279 and 3308?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 63\/7 - 20 - -354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c. Let a(g) = -3*g**2. What is i(a(d))?\nAnswer: 9*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -2. Suppose -k = 3*h - 27. Is 12706\/3*h*24\/80 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460436 (base 9) to base 11.\nAnswer: -179336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 81. Let i be (-2)\/8 - o\/60. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 0*q)*((3*q - 3*q + 2*q)*(-4*q + 5*q + q) - 13*q**2 + 33*q - 33*q).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 861984 and 430992.\nAnswer: 861984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1520 - 1520.2. Sort -1, k, -3 in ascending order.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) - (sqrt(5)*-3 - sqrt(5))))**2 - (sqrt(50)\/(sqrt(60)\/sqrt(6)))**2.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 25 + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 8. Let b be o(-15). Suppose -b = 4*c - 31. Solve c = 5*k - 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*k**3*v*y + 422635*k**3*y**2 + 2*k**3*y - 6*k**2*v*y**2 + 96*k*v*y - 319*k*v + v + 6*y**2 wrt y?\nAnswer: 845270*k**3 - 12*k**2*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 + 6*q**3 + q**2\/2 - 14*q + 2. Let k(t) = 869*t + 44337. Let d be k(-51). Give y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/((397\/3970)\/((-2)\/1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3996231, -3996059, -3995771, -3995367, -3994847?\n\"Answer: 58*m**2 - 2*m - 3996287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 14, -3.9434?\nAnswer: -3.9434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 8 = -24. What is the units digit of (-4*246\/36)\/(y\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 d when three letters picked without replacement from dfzzdb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 49*s**2 - 9*s - 6. Is g(24) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 2*g**2 + 2*g - 2. Suppose 3*s + 0*f - 18 = 3*f, 2*s + f = 12. Let l be (3*1)\/(9\/s). List the prime factors of w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 2\/(-1 + -3)*-5. Let t(b) be the second derivative of -5*b + 0 + 5\/2*b**2 - g*b**3. What is the derivative of t(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11195920, -11195923, -11195926, -11195929, -11195932?\n\"Answer: -3*l - 11195917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983?\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 4\/(4\/(-77)). What is the greatest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 11. Suppose 3*k - 102 = o. Let m be 9\/k - 14\/(-8). Solve -2*s - m*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*w = 17 + 8, 3*v = -3*w + 33. Suppose -555 = 3*i - v*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4991*o**3 + 20042 - 20042)*(o**2 - o**2 - o**2).\nAnswer: -4991*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-90))\/((-8)\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 - 3*(52\/182)\/(45\/(-1533)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4968*j + 39781. Determine o(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3\/2 + 24*o**2 - 123*o\/2 + 39 = 0.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 303*h**3*t + 2*h**3 - 3*h**2*t**2 + 4*h**2*t - 902 wrt t?\nAnswer: 303*h**3 - 6*h**2*t + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1944 and 158742?\nAnswer: 17144136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 - 5*a. Suppose -x + 7*h = 11*h - 14, -x = -h + 1. Let i(l) = -2*l**3 - 6*l**2 + 5*l - 2. Let d(m) = x*i(m) + 3*u(m). Give d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*v - 2*x + 776, -v - 9 = -15*x + 18*x + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 + 19*d + 4. Let q be c(-3). Let k(p) = -3*p. Let g(j) = -j. Give q*k(a) - 2*g(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:57 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 355278946*k**3 - k**2 - 608334874?\nAnswer: 1065836838*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 0*o + 362 - 342 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.93726 months to years.\nAnswer: 1.328105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5 - (-1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 19 = 4*m. Suppose -268 + 1370 = 29*h. Calculate the remainder when h is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-18)*(-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -116 + -26 + (-20 + 20 - -5)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u**3 + 23\/336*u**8 - 5\/6*u**4 + 0 + 0*u**5 + 48*u**2 + 0*u**7 + 0*u**6 + 0*u. What is the second derivative of w(r) wrt r?\nAnswer: 460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467599 + 38*f - 34*f - 467599.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73773\/315 + 2\/(-10) and 54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 100*r - 2673. Give y(27).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5161638, -5161598, -5161558?\n\"Answer: 40*q - 5161678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -27, -132, -351, -726?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-60) - (-11392)\/(-80). Which is smaller: k or -141?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 29. Let i(k) = 19*k. Determine d(i(z)).\nAnswer: -19*z + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -9, 5, -2\/9, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 732 + -420. Let q = o + 315. What are the prime factors of q?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/(-228)*28)\/((-1497)\/(-747) - 2). Is 583 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 9:55 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, 2.\nAnswer: -31, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -17.919 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -6 - (34 - 36)) + 24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t - 5. Let v = t - 8. Suppose 4*b - 4 = -0. Put b, 5, v in decreasing order.\nAnswer: 5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 12936, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 1870?\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b. What is the remainder when (b\/(-1))\/3 + 22 is divided by (-50)\/(-6) + 2\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l - 45. Let a(u) = 5*u + 23. Give -13*a(f) - 6*c(f).\nAnswer: f - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 102?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let c(r) = 2*r. Let i(b) = 209*b. Let m(o) = 190*c(o) - 2*i(o). What is x(m(f))?\nAnswer: 1444*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + ((2*sqrt(12)*-1 + sqrt(12))\/(sqrt(400) - sqrt(400)*-2))**2)*5.\nAnswer: 1499\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3298, 6668, 10038?\nAnswer: 13408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 18 = 2*b. Suppose -4*s = -129 + 133. Is (16 - b) + s + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1954257486 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -6, -0.019, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 1604*r\/11 - 146.\nAnswer: 2*(r - 1)*(r + 803)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 12. Suppose -60 = n - c*n. Calculate the greatest common divisor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)\/h)\/h)\/(h\/(h*h**(-3\/5)*h))*(h\/h**(-2\/7))**(-3\/2) assuming h is positive.\nAnswer: h**(-237\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1386 - 1353 - (85 + -1)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020 divided by 3340?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 + -7?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31848075*q**3 - 27664043*q.\nAnswer: -191088450*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 70 = -88*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 83 (c) 7 (d) 249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1124 - 216.\nAnswer: -215.8876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.87 - 10.8261. What is v rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 335 and 62296868?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.706 - -11.906. Which is the nearest to 0? (a) -1 (b) 17.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = 24*z - 576 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351 - 347. Suppose 0 = c*x - 3*i + 11, i - 9 = x - 5. Let f(h) = h**3 + 3*h**2 + h. Let a be f(-2). Sort a, x, -4 in descending order.\nAnswer: a, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 5. Let s be p(13). Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 525 + -517. Suppose -4*w = -5*h - 32, 6*h = w + 4*h - f. Solve w*a + 45 = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.81 + -0.99. Let k = -3.18 - g. Sort k, 0.03, 5 in increasing order.\nAnswer: k, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -1350204286?\nAnswer: 1350204285.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*p**3 - 294 wrt p.\nAnswer: -429*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from booesebooeeeboeoe.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 474302 less than or equal to 12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - u - 26, u + 2*u - 42 = -3*v. Suppose -3*j - 23 - 32 = -4*c, -c + 35 = -5*j. Let n = c - v. Solve 2*k - x + 9 = -n, 11 = 2*k + 3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1622 + 1641. What is the greatest common factor of w and 5263?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from hnne.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3228, -12907, -29046, -51651, -80728, -116283, -158322, -206851?\nAnswer: -261876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 24) + (-1 - -3) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*g + 5. Let m(d) = -d**3 + 12*d**2 - 12*d + 14. Let f be m(g). Solve 0 = 2*s + k + 10, f + 2 = -s - 4*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 3, i: 1, d: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -28*b + 188. Let s be t(6). Solve 0*q = 5*q + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 4. Let u be g(-8). Let r = 22 - u. Let f = r + -8. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -142272, -142241, -142200, -142155, -142112, -142077, -142056, -142055?\n\"Answer: -d**3 + 11*d**2 + 5*d - 142287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 45 = 23*w. Suppose -4*u = -w*u + 200. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 15 = 9. Let i(n) = 4*n**2 + 6*n - 6. Let g(j) = 3*j**2 + 5*j - 5. Let b(x) = p*g(x) + 5*i(x). Let a(o) = -o. What is a(b(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 5*v + 56. Suppose 4*p - 10 = -5*u, 4*p + u = 12 + 6. Suppose -5 = -p*h + v. Solve -z - 4*z + h = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 245.9344 to 1 dp.\nAnswer: 245.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 8*g**2 + 2*g + 36. Let k be d(7). Which is bigger: k or -2\/1021?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 272888.\nAnswer: 272888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 - 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 0. Suppose 3*l = 15, -f - l - l + 51 = d. What is the remainder when f is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7*u)*(-7 + 4 + 1)*(-14 - 60 - 2).\nAnswer: -1064*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*p = -2*p, -2*x = 3*p - 15. Suppose -24 = -4*n - s - 1, 0 = -n - 5*s + 1. Sort -5, x, n in decreasing order.\nAnswer: n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 49. Suppose 5*c = 2*m - 29, m - 23 = -3*m + a*c. Solve -6 = -m*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/12 + 7*q**3\/2 + 6*q - 99. Give j(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 18. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 13*u**7\/42 + 5*u**4\/6 - 9*u. Find the third derivative of f(h) wrt h.\nAnswer: 780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718672, 1437612, 2156552, 2875492?\nAnswer: 3594432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1288 - 14e?\nAnswer: -13d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7929.6km in micrometers?\nAnswer: 7929600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0814281123 rounded to three decimal places?\nAnswer: -1.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(-2*k + 7*k - 2*k)*(-101 + 64 + 85).\nAnswer: -576*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**3. Calculate the remainder when ((-88)\/(-6))\/(70\/105) is divided by z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*j + 3 + 4, 4*a = -j + 14. Suppose -8*z = -9*z + j. Solve 4*m - 8*w = -3*w - 15, -4*w = -z*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1624528275.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 954669*z.\nAnswer: -3*z*(z - 318223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/4 (c) -88 (d) 8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 311 + -3?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*v - 3*j + 13, 3*v - 5*j = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 + -2?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and 0.9.\nAnswer: 151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/(-435) + ((-20)\/(-3) + 1)\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 40 - 10. Let d be 6\/(s\/2) + -3. Let f(o) = -4*o**3 - 4*o**2 - o. Let m(p) = 4*p**3 + 3*p**2 + p. Let c(l) = -3*f(l) - 4*m(l). Calculate c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -25. What is the remainder when 15 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 - -110 - (-4 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*p**3*s**2 + 53374*p**3*s + 13484*p*s**2 - 33*p - 1 wrt p.\nAnswer: -90*p*s**2 + 320244*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11119*f**2 + 2*f**3 + 9112*f**2 + 2007*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let u(k) be the first derivative of 0 - 9*k**2 + 7*k**2 + 4. What is x(u(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255836, -1018241, -2288908, -4067831, -6355004, -9150421?\nAnswer: -12454076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/60 + 3 - (-1)\/5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105 from -400900434213.\nAnswer: -400900434318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 15, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. What is the second biggest value in 0, 7, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -17*w**3 - 5*w**2 - 4*w. Is c(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 2. Let t be z(-2). Let w be 2\/(-8) - t\/8. Suppose 3*g + 5*s - 17 = w, 0 = 4*g + 2*s - 12 - 34. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*x + 110*x + 5*x - 2*x - 1 + 1 + (-4 + 0 + 2)*(3*x - 2*x + 0*x) - 2 + 2 - 2*x - 2 + 2*x + 2 + (1 + 0 - 9)*(-5*x - 4*x + 6*x).\nAnswer: 239*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**22*k*k\/(k*k**(1\/22)*k*k) assuming k is positive.\nAnswer: k**(-463\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -28275.5037 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039, 2078, 3117, 4156, 5195, 6234?\nAnswer: 7273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + k**2 - k + 1. Let t be d(1). Let c(f) = 3 - 92*f + 40*f**3 - 3*f**2 + 87*f - 39*f**3 - 1. What is c(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*h, -m - m - 2*h = 10. Is m\/4*(-18924 - 14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51485*f**3*g*r - 55996*f**3*g - f**3*r + 9*f**3 - 2*f*r with respect to r.\nAnswer: -51485*f**3*g - f**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33756816 to the power of 1\/2, to the nearest integer?\nAnswer: 5810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1137 + -0.3863. Which is the second biggest value? (a) -1 (b) -8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10253 + 10278.165. What is y rounded to one dp?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253 * 0.07\nAnswer: -17.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(960)*-5 + sqrt(960))\/(sqrt(12) + sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108)*-2)) - 1*sqrt(36)\/sqrt(3))*-4.\nAnswer: 2 + 224*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -49.16. Let r = 48.16 - a. Let h = -53.3 + r. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 + 4. Let u be ((-8)\/2)\/2 - 2. Let o(y) = y**3 + 1. Let z(j) = u*o(j) + i(j). What is the third derivative of z(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.01 (b) 13 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/12 - 3*n**3\/2 - 5*n**2\/2 + 79*n. Calculate c(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2898 and 552?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*f - 161*f + 12 = u, 4*f - 26 = -3*u. Let s = -1.1 + 1. Which is the third smallest value? (a) -1\/151 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n**3 - 11*n**2 + 8*n - 14. Let i(p) = -5*p**3 + 4*p**2 - 3*p + 5. Let h(o) = 11*i(o) + 4*l(o). Let t(y) = -3*y**3 - 2*y - 2. Give 2*h(x) - t(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 - -189 - ((2 - -1) + 39 + 3) - -9?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 2697183?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15468416\/39 - 396625. Calculate the common denominator of b and 654\/117*(-3)\/20.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/9 - 23\/45. Suppose -2\/5*u + 8\/5*u**4 + 8\/5*u**5 - 6\/5*u**3 + 0 - a*u**2 = 0. Calculate u.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256814831?\nAnswer: 3, 19, 107, 206069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 21. Let u = -103 + w. Let v = u - -132.9999943. What is v rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 937411 + 1.0397945.\nAnswer: 937412.0397945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 0.5, 6, -0.06, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - 2*i**3\/3 + 3*i**2\/2 - i - 7. Let n(m) = 3*m - 3. Let o be n(2). Calculate the remainder when 31 is divided by k(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-4)\/3504). Let v = 770 + t. Let c = v - 234. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 3*k**2 - k - 4. Let o be h(-3). Let z(f) = -f**3 - 8*f**2 - f - 12. Let g be z(-8). Sort g, o, -5 in descending order.\nAnswer: o, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 947*r + 66 - 24 - 42 as b*r + j and give b.\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*p + 409*p - 3885 = -221*p + 1192*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 15) to base 7\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 + h - 5. Let q be i(-4). Let b = -59 + q. Suppose r - b = -4*t, -3*t = -0*t - 4*r - 33. What is the lowest common multiple of t and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:25 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 - 9 = q, 2*q = -8. Let m(b) be the first derivative of -b**3\/3 - 5*b**2 - 2*b + 83086. What is m(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3. Let b(s) = -11*s**3 + 87*s. Calculate -b(p) - 4*i(p).\nAnswer: 7*p**3 - 87*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -3\/4, -5 in increasing order.\nAnswer: -5, -3\/4, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-6))\/((-420)\/(-2520)))\/(6\/(-318))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 626 and 11.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/16 and 83\/209462.\nAnswer: 1675696","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 4*c)*(-c + 0 + 0 + (11*c - 35*c + 14*c)*(1 + 1 - 5))*(2*c + 3*c - 7*c).\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l. Let s(g) be the second derivative of 8*g**3\/3 - 26*g**2 + 13*g - 8. Calculate s(n(p)).\nAnswer: 160*p - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*w = -91, -2*c + 12 = -2*w - 16. Let d = 38 - c. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 9:07 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (535\/50)\/(1\/1) and 3 + -7 - (-10)\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 - 195. Let w(x) be the third derivative of 1\/6*x**3 + 1\/12*x**s + 1\/60*x**5 + 0 + 2*x**2 + 0*x. Factor w(c).\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/(-5)*24\/156.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 + -222. Let h = i - 33. Solve -31*w + h*w = 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 - s - 74. Let u(t) = -4*t**2 - t - 1. What is b(a) - 2*u(a)?\nAnswer: -3*a**2 + a - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18302470 is divided by 1368.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*q + 7*q + 12, 2*q = -2*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 1858065.\nAnswer: 55741950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*d - 105 = 477, 5*p - d = 1455. What is the remainder when p is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 15*o**2 - o - 24. Give k(15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -438*q - 3. Let d(y) = -1366*y - 10. Give 6*d(h) - 20*p(h).\nAnswer: 564*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2 = 18, 0 = 2*w - 2*t - 20. Factor -f**3 + 3*f**3 + 2*f**5 - w*f**3 + 2*f**4.\nAnswer: 2*f**3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:15 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06431 + 0.064. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = u + 98. Let v(i) = 6*i + 1. Calculate v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.3062\nAnswer: 0.55116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 - 57. Calculate the highest common divisor of k and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*z**4 + 10*z**4 - 21*z**4 + (12*z - 12*z**2 - 12*z)*(3*z**2 - 3*z**2 - 4*z**2) as q*z**3 + m*z**2 + d*z + l*z**4 + g and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5123*i**3 - 1587.\nAnswer: 15369*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82654.3 millilitres to litres.\nAnswer: 82.6543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 7*p**2 + 0*p**2 - 2*p**2 - 14 + 113*p**3.\nAnswer: 113*p**3 + 2*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-830 + 188*t + 830) + (-2 - 3 + 3)*(-2*t - 1 + 1).\nAnswer: -372*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 20)*(1 - 2 - 1)*(-2*p + 2*p + 2*p) to the form s + a*p and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let b(q) be the first derivative of 7*q**4\/24 - 6*q**2 + 4. Let x(o) be the second derivative of b(o). Calculate g(x(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((-117)\/(-1950))*(-432)\/40?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(539) + -1*sqrt(539))**2 + 4*(sqrt(110)\/sqrt(10)*3 + -1).\nAnswer: -3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 225*r - 2 + 1226*r + 5. Let h be p(-3). Let a = h + 30503\/7. Find the common denominator of a and -93\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 12 = -4*p, -4*p + 2*z - 20 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(13) + 5) - (1 + sqrt(13) + sqrt(325)*-2).\nAnswer: 23 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x - 3*r + 11, 3*x - r + 7 = 0. Let k be (x\/(-4))\/(2\/12). Suppose 0 = m + l - 12 + k, -5*m = l - 45. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 3*v - 9. Let q = -5 - v. Let l(a) = a**3 + 3*a**2 - 4*a - 3. Let w be l(q). Solve 0*n - w = -3*n + 3*u, -16 = 4*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31710 in -0.5, 4, 3, -15.3?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/8 (b) -38 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176467330 is divided by 497091.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 38 in increasing order.\nAnswer: 0, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z**2 + 588*z + 6127. Calculate q(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) + 1392\/9. Suppose v = 4*f - s - 268, -4*f = 3*v - 443. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1298*v**5 + 12*v**4 + v**3 - 13*v**2 + 4661?\nAnswer: 77880*v**2 + 288*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 65.3?\nAnswer: 39.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 1458*s + 1458*s - 17*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5053467301?\nAnswer: 311, 349, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznqxzozzz. What is prob of sequence zq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*y + 3*q + 7, 4*y = 4*q + 4. Find the first derivative of -17*b**2 + y*b**4 + 17*b**2 + 1 wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 2.3. Let u = p - 1. Which is the smallest value? (a) -4 (b) u (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.2380959 * -0.4\nAnswer: -4.49523836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -3825\nAnswer: -19125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*g - 1595 = 0, -12 = -0*g + 4*g. What is the third derivative of -113*z**4 - 316*z + 53 + h*z - z**2 wrt z?\nAnswer: -2712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595393774.\nAnswer: 2, 297696887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 628 - 133 = 0. Let z = -7 - 58. Let x = z - s. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2077 - -2108. What is the remainder when 154 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is p in 67*p**4\/9 - 1765*p**3\/3 - 110*p**2\/9 + 7060*p\/3 - 632\/9 = 0?\nAnswer: -2, 2\/67, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-106)\/(-1 - (-4 + 4))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 9. Calculate the remainder when 8\/(-3)*126\/l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 0*q)*(-1 + 4 - 1)*(-7 + 7 - 18*q).\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0 + 10*u**2 + 0*u**5 - 1\/8*u**4 + 1\/20*u**6 + 0*u + 0*u**3. What is the second derivative of o(a) wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -t - 2, 0*t + 5*c = 3*t + 16. Suppose -17 = -5*p + 4*n, -5*n = -3*n - 4. Suppose -p*r = -46 + 1. Solve -i = -3*j - 1, -i + j - r = -t*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12292 (base 11) to base 9.\nAnswer: 26176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3535 is divided by 1168?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + l - 1 + (-4 - 1 + 3)*(0*l - 5*l + l) in the form w*l + y and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -4 (c) -5 (d) -1\/8 (e) 7 (f) 6.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2608.2 and 85.\nAnswer: 221697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2417380 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z - 5. Let c be p(-1). Suppose c = -m, -m = -4*r + 2*r + 542. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*l - l, -f = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 + 3. Let h be f(-9). What is the second derivative of 4*n + h*n**4 + 0*n**4 - 6*n**4 + n wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 8*s**2 + 9*s + 10. Let u be n(-7). Let f be (-1 + 3)\/((-2)\/u). Suppose -10 - 6 = -f*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -290.86011 - -291.01. Let t = z - 0.15. What is t rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -139, -191, -223, -229, -203, -139, -31?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5921 = -2*d + 3*a - 5944, 34 = -d + 4*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 14.0106. Let o = -0.01 - n. What is o rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 1.31. Let s = -1.2 + d. Put s, 2, 3, 5 in descending order.\nAnswer: 5, 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.02496 to 1 decimal place.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.581207ml to litres.\nAnswer: 0.005581207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2567 take away -6.21838?\nAnswer: -2560.78162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 645638256 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161350353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 16255525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 2*w**2. Let x(g) = 2*g**3 + 5*g**2 + 1. Determine -7*m(h) - 3*x(h).\nAnswer: h**3 - h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12468055 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) - 2\/(-36). Suppose 4*x + 28 = -v - 4*v, 5*x - 4*v - 6 = 0. Let i = x - -3. Is i greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 53. Let h(s) = -5*s - 12 + 0*s**2 + i + 3*s**2. Let y(f) = -2*f**2 + 3*f + 5. Give 5*h(c) + 8*y(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433 + 433. Let n(h) = -h + 4. Let w be n(5). Which is bigger: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48672703993096 + -4.\nAnswer: 48672703993092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3129, -6163, -9197, -12231?\nAnswer: -15265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45367*b*d**3*q + b*d*q**2 - b*d*q - 23081*b*q + 2*b - 5*d**3*q**2 - 4*d**2 + 1 wrt d.\nAnswer: 272202*b*q - 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 4773219 = -63*u. What is u rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331588477 to the nearest integer?\nAnswer: 18210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2088 + 2311. Which is greater: 212 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2006\/68 + (-28)\/8 + -60\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {a: 5, e: 3, z: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 - -15 - -31 - 6.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (18 + -41 + 3 - 62) - 3?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170.59 > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 512*l - 585*l to i + m*l and give m.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -161198.6 and -1272?\nAnswer: 205044619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1771 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4074312353 + 2?\nAnswer: 4074312355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-3*sqrt(5)))**2 + (sqrt(11) + 2)*-2 + ((3*sqrt(121)*2)\/(sqrt(176)*1))**2.\nAnswer: -2*sqrt(11) + 791\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u**3 - 5*u**2. Let c(w) = -32*w**3 + 8*w**2. Suppose -4*d - 1000 = -4*x, -4*d + 634 = 5*x - 625. Let t = x - 243. Determine t*h(s) + 5*c(s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2*z**5 - 12*h**2*z**2 - 3*h*z**2 - 4*z**3 wrt z.\nAnswer: -120*h**2*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = i - 2*t, 5*i - 4*t = 47 + 81. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 4*y + 103*q - 109*q, 170 = -4*y - 5*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*x + 119 + 178 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-147 + 147 + 278*c).\nAnswer: -1390*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 2*x**2 + 3. Let r(j) = 180*j**3 - 7*j**2 - j - 10. Give -2*a(t) - r(t).\nAnswer: -184*t**3 + 3*t**2 + t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/30 + p**5\/15 - p**4\/3 + 57*p**2. Factor w(g).\nAnswer: 4*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007938653 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i + 10*i - 30*i + 7*i. Let v(b) = -2*b. What is s(v(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157264609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*t + 37*t - 1164163. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 + 23*l**2 - 57*l**2 + 16*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12340?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:57 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 14 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -8, 21, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*v**2 + 196*r*v + 3291*v**2 with respect to r.\nAnswer: -v**2 + 196*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54616 - -3003966\/55. Let q = -14\/55 - u. Let b = -15081 - -301591\/20. Find the common denominator of q and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 28 - 188 = -16*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1231*k**2 + 1. Let x(u) = -u. What is m(x(n))?\nAnswer: 1231*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145262925 times 0.2?\nAnswer: 229052585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4648.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50211443 + 5?\nAnswer: 50211452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 747*m + 1144. What are the prime factors of n(4)?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3 - 7*a**2 + 5*a**2 - 12*a**3 wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21580 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3) + sqrt(3) + 3 + sqrt(9)\/sqrt(3)*-3)*-4 + 4)**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-10 - -4) - (28 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 2594, 5831, 10356, 16169, 23270, 31659?\nAnswer: 41336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1824 - -0.1.\nAnswer: 1824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202*g**3*l**3 - 5434*g**3 + 2*g*l**4 - 2*l wrt l.\nAnswer: 1212*g**3*l + 24*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -37, -122, -293, -580, -1013?\n\"Answer: -5*n**3 + 2*n**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7792 - 3447. Suppose -3*o + f = 2*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119872993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 21954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -66, -2\/109, -0.029 in decreasing order.\nAnswer: 2, -2\/109, -0.029, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 5 + -4)*2\/6. Suppose t = 2*p + 8*p - 30. What is the third derivative of 2*k**p - 25*k**2 + 2*k**2 - 2*k**3 + 17*k**4 wrt k?\nAnswer: 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9452092 divided by 871?\nAnswer: -10852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlvviv. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -8\/89, -1\/8, -0.019, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20310 and 2031?\nAnswer: 20310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -16 - 35 - (-1 - (3 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3)*(u**2 - u**2 - u**2)*(-3*u - 4*u + 0*u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**11*c*c*c\/(((c*c**(-8\/9))\/c*c)\/c)*c*c*c\/(c\/(c**(-1)\/c*c))*c\/((c**(4\/3)\/c)\/c) assuming c is positive.\nAnswer: c**(167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308863, -1235473, -2779823, -4941913, -7721743?\n\"Answer: -308870*a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 102352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 17554 (c) 39.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 2, c: 6, s: 4, y: 4, q: 2}. Give prob of sequence tcct.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304) - (sqrt(1539)*1)**2)*-5.\nAnswer: -20*sqrt(19) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14698 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 14. Let l(c) = -c**3 - 3*c**2 + 6*c - 4. Let i be (-2 - 0)*10\/4. What is the remainder when f(-10) is divided by l(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3962748 is divided by 1310.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 - 94*d**2 + 182*d - 90. Let m(w) = -w**3. Suppose -5 = 5*i - 0*i + 5*u, 31 = -4*i + 5*u. Let p(j) = i*m(j) - 2*s(j). What is q in p(q) = 0?\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)*1)\/sqrt(6))\/((sqrt(720) - sqrt(720)*-2) + sqrt(720) + sqrt(720)))\/(((sqrt(10)*-2 + sqrt(10))*-3)\/(-2*sqrt(180))).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4138558*i - 3626949 wrt i?\nAnswer: 4138558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5 - 16)*(-51268*c - c**2 - 2 - 67*c**4 + 51268*c).\nAnswer: 67*c**4 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 31. What is a(16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 10:29 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2328, 11\/2, 3, -1.37, 1.\nAnswer: -2328, -1.37, 1, 3, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/15)\/(3\/9). Solve 0 = -2*r - q - 2, 2*q + 13 = s*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69398 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c + 4. Does 15 divide 1 + c + 0 - -28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*s + 3, -4*s - 8 - 4 = 4*q. Let n(t) be the second derivative of t**3\/6 + 16*t**2 + 21325*t. Give n(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2109*x + 4*t + 16 = 2110*x, 4*x = -3*t + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 231.\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zba when three letters picked without replacement from vvbaabbzassbscvva.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10)*2)\/((-6)\/252*-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a factor of 1030260954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 12*u - 25 = 0. Which is the third biggest value? (a) 0.3 (b) 0.4 (c) -0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(242)*2*-4)**2.\nAnswer: 15488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 1881\/271 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 480 - 480 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(50) - (sqrt(16)\/sqrt(128) + -5 + sqrt(8)).\nAnswer: -69*sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.79 + 0.7. Let n = 1.64 - 15.74. Let d = 14.5 + n. Which is the closest to 2? (a) d (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-440))\/(1\/(-3))*(-27)\/(1134\/6580).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 10:28 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2261111 = -155*x + 2071563 + 5162006. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 48*o - 57*o)*(5*o**2 - 9*o**2 - o**2).\nAnswer: 45*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(2\/(96\/54)). Let i be 1\/(-3)*-1*(6 + -3). What is the second smallest value in i, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmjx when four letters picked without replacement from {n: 1, x: 3, j: 2, m: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -261*m + 3. Let h be f(-2). Suppose 0 = -o - 3*a + 94, -2*o - 4*a = 3*o - h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -65*t - 44. Let g be z(-12). What is the highest common divisor of g and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60432 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:30 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15586847 a multiple of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 15*z**2 - 15*z + 1. Let c be b(16). Suppose -4*u - c + 29 = 0. Solve -5*x + 2 + u = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120072 divided by -5\nAnswer: 120072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:20 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2673372 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 4) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(2\/3)\/q)\/q)\/(q\/q**(-2\/9)*q))\/(q**(2\/7)*(q**(-2)\/q)\/q))\/(((q**(-4\/9)*q)\/q*q)\/q**(-5)*(q**3\/q)\/q*q\/(q**(-2\/3)\/q*q)) assuming q is positive.\nAnswer: q**(-445\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/135 - i**5\/18 + i**4\/9 + 4*i**3\/27 - 8*i**2\/9 - i - 175. Factor v(r).\nAnswer: 2*(r - 2)**3*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 1, c: 1, p: 1, u: 1, k: 1}. What is prob of picking 1 z, 1 k, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -103, -111, -119, -127?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/4)\/s)*s*(s\/(s**(3\/5)\/s*s))\/s)\/((s*s**(-2\/21)\/s)\/(s\/(s*(s**(-9)*s)\/s))) assuming s is positive.\nAnswer: s**(4933\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103766829?\nAnswer: 3, 293, 118051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -20, -2*u - 20*x + 16*x = -76. What is the remainder when u is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89813026 to the nearest integer?\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k + 1\/2*k**2 - 1\/12*k**4 + 0 - 3\/20*k**5 + 1\/6*k**3. What is the lowest common multiple of v(-1) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**2 - 6*o - 9. Let b(d) = 10*d**2 - 4*d - 4. What is 5*b(z) - 3*f(z)?\nAnswer: -16*z**2 - 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274\/3 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -17\/2586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -65949500 rounded to the nearest 100000?\nAnswer: -65900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1903. Let r be v(0). Let n = r - 1023. What is n rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3*f + 4)*((f + 1 - 1)*(4 + 3 - 5) + 6 - 10*f - 6)*(-2 + 4 + 0)*(-28*f + 77*f - 39*f) as b + r*f**3 + x*f + a*f**2 and give r.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 + c - 1. Let f be d(1). Let k(i) = 0 - 1 - f*i + 1. Let p(r) = -r. What is k(p(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43775*j + 23859*j + 19908*j + 4.\nAnswer: -8*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7266448 by -2.\nAnswer: 3633224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwcupcj. What is prob of picking 1 c, 1 l, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -263, -380, -507, -650, -815, -1008, -1235?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzr when four letters picked without replacement from rzhrrzrhrzih.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60116906 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = i - 54. Suppose -4*p = -s + i, 2*p - 18 + 88 = -5*s. Let n = -17 - p. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2591.4 or -17?\nAnswer: -2591.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-10)*l*l*l)\/(((l**(-4)*l)\/l)\/l)*l**1*l*l\/l**(-9\/2)*l*l)**(27\/4) assuming l is positive.\nAnswer: l**(513\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6 - 7.9. Let k = 0.3 + -1.3. Let x = k - -2. Which is the third biggest value? (a) i (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(72\/9))\/((-7)\/238).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = v, 0 = 4*t - 3*t - 4*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20201 + 4442 = 3*c - 5*k, 3*k + 8205 = c. Does 65 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 - 73. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 3. Let y(o) = 7 - 2*o + 4 - 4. Suppose 1 = 5*t - 9. Suppose -2*c + 4*i + 26 = c, -t*i - 2 = 4*c. Give c*y(x) + 5*h(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7*x - 18 = 0. Solve 2*u + 2 = 2*g, 5*g + 28 = x*g - 4*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 12, r: 7}. Give prob of sequence rar.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 - 6*y + 9. Let m be 78\/12 - 1\/2. Let f be b(m). Calculate the greatest common divisor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from ktknkttnk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 111a4 + 4?\nAnswer: 111a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 2*c + 3, 7*c + 1 = 3*s + 3*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2532 (base 10) to base 15.\nAnswer: -b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 1032?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 1. Suppose -v - 4 = 0, -4*j = -2*j + 5*v + 18. Let l(q) = -5*q + 5. Give j*l(b) - 6*x(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 46*t**2 - 20*t - 523. Give r(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-6)\/(-3) - 0. Let b be (y - -3 - -1) + -1. Find the third derivative of -5*r**6 - 2*r**b + 0*r**5 + r**5 - r**5 wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/7 and (1\/198)\/(157\/(-159) + 1).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 17435600*t**3 - 34871215*t**2 + 17435610*t.\nAnswer: 5*t*(t - 1)**2*(t + 3487122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/4 + 70197*i**3 - 6554122839*i**2\/4 - 375478211955*i\/2 + 777168422850 = 0. Calculate i.\nAnswer: -118, 4, 46855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 + 5*s - 7. Let u be g(-6). Let j = -13 + 25. Suppose 8 = -4*n, -7*n + j = 5*f - 3*n. What is the second biggest value in f, u, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 29*p + 16. Let l(c) = 44*c + 23. What is -5*l(u) + 7*v(u)?\nAnswer: -17*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/3, -0.1, 993, 98, -5?\nAnswer: 993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/r**12))\/r*(r\/(r\/(r\/(r\/(r*r*r*r**(-1\/7)))*r)))\/r)**2 assuming r is positive.\nAnswer: r**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2485\/2 + -1240. Let j(t) be the first derivative of 0*t**5 + 0*t**4 + 0*t**3 - 1\/6*t**6 + 0*t + a*t**2 + 3. Find the second derivative of j(m) wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1506 and 450.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 50, 106, 182, 278?\n\"Answer: 10*y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000531117 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2305600 and 65120?\nAnswer: 85307200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.48387 + -3.48. Round f to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -28\/3. Let i = 0.17 + 7.83. Let f = -7 + i. Which is the third biggest value? (a) f (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-237)\/54 + 6\/27. Suppose 4*d - 19 = h. Let g = 9661\/1150 - 1\/1150. Is d not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/(u\/(u*u*u**5\/u*u)))\/u))\/u**(-1\/2))**(-2\/13)\/((u*u\/(u\/(u\/u**(-1))*u))**13\/(u\/(u\/((u\/(u**1*u))\/u)))**32) assuming u is positive.\nAnswer: u**(-1159\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.102 and 0.066.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 - -12) - (14 + -5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 4)*(3*m + 4*m - 5*m) + m + m - 3*m)*(1 - 1 + 3*m**2).\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.4 in -10\/7, 2\/15, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61859037, -123718074, -185577111, -247436148?\nAnswer: -309295185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.5 (b) -9\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114, -220, -320, -414?\n\"Answer: 3*d**2 - 115*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-4 - -1)) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s)**(-9)\/(s**(-2)*s**(-4\/9)*s))\/((s**(-1)*(s\/(s\/(s\/(s*s*s**(-6\/7)))*s)*s)\/s)\/(s**(3\/5)*(s\/(s\/s**(1\/13)))\/s)) assuming s is positive.\nAnswer: s**(-11203\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150449.\nAnswer: 13, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g**4 - 7*g + 28. Let i = 2 + -4. Let w(a) = 7*a**4 - 2*a + 9. Let b = -8 - -15. Let o(f) = b*w(f) + i*l(f). Differentiate o(p) with respect to p.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Let l(i) be the first derivative of i**3\/3 - 2*i**2 - 3*i - 4. List the prime factors of l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + -2*sqrt(102))*5 - sqrt(102))\/(sqrt(96)*-3 + sqrt(96) + sqrt(96)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7085 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 102 + 84. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**2 - 1924*s + 2478. Give h(213).\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.17, 8.3, -3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21869*b**6 - 27*b**3*g**3 - 21*b**2*g**3 + 7*b**2*g**2 + b*g**3 + 37*g**2 wrt b?\nAnswer: -2624280*b**3 - 162*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -701 - -700.9. Put i, -0.007, -0.5 in descending order.\nAnswer: -0.007, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45008 is divided by 2998.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (251765\/4684)\/(10\/16)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006669601 to 6 dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:39 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -744*b + 749*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -27*x**2\/7 + 276*x\/7 - 60\/7 = 0.\nAnswer: 2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 + 10 = 3*a. Let s = 561 - 358. Let z = s + a. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(432) + (sqrt(432) - -6*(sqrt(432) + sqrt(432)*3)) - sqrt(432)) + sqrt(432) + -5*(sqrt(432) + -2) + 4)*-5)**2.\nAnswer: 176400*sqrt(3) + 4767698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9 = 0, 29119*b - 29122*b = -8*o + 59 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gbzgzggppllbblw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -12?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 divided by -3?\nAnswer: -341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.14539 and -3315904?\nAnswer: 3315907.14539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 - -339. Let y = -22 + p. Calculate the greatest common factor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13573 - 5954. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.2819 to 1 decimal place.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 11*x - 6 = 0. Solve 3*i - 3 - x = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 9*a**2 + 4*a - 1. What is f(-9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -52. Let q = 3.7 + -3.9. Let v = -3 - -2.8. What is the closest to v in 0.5, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**3 + 16*i**3 + 21 - 13 - 9*i**4 + 2*i - 4 - 7*i**3 in the form a + j*i**3 + s*i + n*i**4 + l*i**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -153534, -307027, -460520, -614013, -767506?\n\"Answer: -153493*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 882\/(-1029)*14\/(-6). Let r = -3 + 7. Put r, 3, -1, t in ascending order.\nAnswer: -1, t, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.032? (a) -0.02 (b) 0.07 (c) -759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/12 - (-9)\/2. Suppose -2*m + 9 = 2*a + a, -4*a = v*m - 12. Solve 2*r = -2*b + r + 3, -4*b - 19 = -a*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 11 - 34 - 2*f**2 + (0 - f + 0)*(-4*f + 5*f - 3*f) - 2*f**2 + f**2 + 2*f**2.\nAnswer: f**2 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1 + 4*k - k + k + 2. Let r(a) = -3 - 4*a - a + 1. Let x(m) = 6*g(m) + 5*r(m). Give x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 11*w - 15. Suppose 4*l + 36 = n + 2*n, -2*l = -5*n + 60. Let d be q(n). What is the second biggest value in -4, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 257936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -37*d**4\/24 - 23*d**3\/3 + 36*d**2. Let c be o(-5). Suppose 5*h + 746 - c = -3*m, 5*m = -h - 975. Round m to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 130, 273, 418, 565, 714?\n\"Answer: y**2 + 140*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 243?\nAnswer: 291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/411 + 539\/2055. Put 1, -0.044, s, 0.3, 0 in ascending order.\nAnswer: -0.044, 0, s, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1540\/506 + (-14)\/322. Sort 5, 0, 8, 4, s.\nAnswer: 0, s, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -382*m**3 + 2*m + 3*m**2 + 204*m**3 - 1663 + 18*m**4 + 178*m**3 + 138*m**4 wrt m?\nAnswer: 1872*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-33) - (-24)\/110. Which is the second biggest value? (a) v (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.7803 millilitres in litres?\nAnswer: 0.6107803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Let y = -0.052 - -0.052. What is the closest to y in -4, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545706 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -5) + (19 - 18) + 23 + -8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 11 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -725 - 31*c**2 + 725 + (-1 - 1 - 1)*(0 + 2*c**2 + 0).\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -748696\/103 + 7269. Let h = l + -6047\/1648. What is the common denominator of 99\/20 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let p(d) be the second derivative of -d**3\/2 + 4*d**2 - 2275*d. Give -4*k(b) + p(b).\nAnswer: b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -58*l**3 + 53*l**2 + 6*l. Let k(y) = -58*y**3 + 54*y**2 + 5*y. Let a(p) = -6*k(p) + 5*x(p). Find the third derivative of a(u) wrt u.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005233589 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 8\/1255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-56)\/(-42) - 2\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155370 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2)*n**(-3\/7))**(-43))**(11\/7))**(-2\/53) assuming n is positive.\nAnswer: n**(-16082\/2597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-58)*338\/52.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnfffgxfffgfpfgx. Give prob of picking 1 x and 1 p.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -159, -262, -389, -546, -739, -974, -1257?\nAnswer: -1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1 + 3*f**2 - 6*f**2 + 4*f**2. Let l be 76\/16 + 3\/12. Let j(o) = 7*o**2 - 2*o + 6. Determine l*s(i) - j(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -3957.25 and 0.00627388.\nAnswer: -3957.24372612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-8))\/(490\/(-112))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - u)*(0*u**3 + u**3 - 2*u**3) - 13*u**4 - 4*u**4 - 8*u**4.\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2411335 - -71?\nAnswer: 2411426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - 247 = 3*g, -4*g + 254 = -5*b. Let d = 95 + b. Calculate the greatest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 28*n**3 - 64*n**2 + 48*n.\nAnswer: -4*n*(n - 3)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 3. Suppose 4*m - 5*q = 12, 2*m + 3*q = -3*m + 15. Suppose -2*h - m*g = -t*h + 55, -h + 11 = g. Calculate the remainder when 21 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121213529 minus 169.6?\nAnswer: -121213698.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10907, -10906, -10905?\n\"Answer: u - 10908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y - 35. Let h be a(-7). Suppose 0 = 5*l - 0*i + i - 3187, h = 3*i + 9. List the prime factors of l.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35329 + 64442 - 99771 - 25*m**2.\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307186563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**11)\/q**(-18) assuming q is positive.\nAnswer: q**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**17*i*i*i*i)\/((i**(3\/10)\/i*i)\/i) assuming i is positive.\nAnswer: i**(247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (61 - 53)) + ((-3 - -3) + 46 - 3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -4, 8, -227, 17, -1.\nAnswer: -227, -10, -4, -1, 4, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 3. Let v be ((-420)\/69 - -3) + g. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2051460 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 339*k**2 + 13482*k + 1156. Calculate x(-293).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-21))**(-9)\/(((q\/(q*q**(5\/2)*q))\/q)\/(q*q**(-3\/7))) assuming q is positive.\nAnswer: q**(2717\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**2 + 526958085*x - 1053916150 = 0.\nAnswer: 2, 105391615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((-3)\/(-540)*-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 3}. What is prob of sequence ne?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 837 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let b(n) = 6*n**3 - 3*n**2 + 4 + 0*n**2 - 7*n**3 - 2*n**l. What is b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 444*r - 6664. Determine u(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -8. Let o = 77 - 76. Suppose -2*t + 3 = -1. Put o, r, t in ascending order.\nAnswer: o, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-8)\/(-6)) - 1. Suppose -i + 4 = -10. Let a = i - q. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1034 and 6281.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2, -14.1, -2, 4\/783?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10516626 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (451*t - 99*t**2 - 451*t + (-2 + t + 2)*(-4*t + t + t))*(-3*t - 4*t + 6*t) to u*t + y*t**3 + c + m*t**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 751?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12270 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v - 13. Let l be r(-4). What are the prime factors of 205 - ((-45)\/5 + l)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 3*y + 6 = 0, -4*y = -25*o + 26*o + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3*j**8\/14 + j**7\/7 - 7*j**5\/20 + j**4\/12 + 25*j**3\/6 + 4*j**2 + j - 484. What is the third derivative of x(d) wrt d?\nAnswer: 1440*d**3 + 360*d**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 983148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -1376, -4587, -10840, -21149, -36528, -57991, -86552?\nAnswer: -123225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3)*2 + sqrt(3) + -5).\nAnswer: -25 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.060723656 and -3.\nAnswer: 1.060723656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212243 - -342?\nAnswer: -211401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 35 + 11 - 28.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3436, -3433, -3430, -3427, -3424?\nAnswer: -3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 + 2*d + 2 - 5*d + d - d**3. Let b be ((-12)\/10)\/((-5)\/(-25)). Does 7 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240 is divided by 224.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -797, -1568, -2335, -3098?\n\"Answer: 2*k**2 - 777*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19136170.\nAnswer: 2, 5, 79, 24223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1721*k + 1819*k + 4.\nAnswer: 98*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138, -605, -1348?\n\"Answer: -743*f + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(1 - 1 + v) - v - 4*v + 4*v)*(2 + 11 + 3).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z = 31 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -1853*f**3\/3 + 649*f**2\/2 + 2871*f. Differentiate l(s) wrt s.\nAnswer: -3706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 7. Let n(i) = -203*i. Give n(v(h)).\nAnswer: -609*h**2 - 1421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (9 + -7) - (117 + -96).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861, 3375, 7549, 13383?\nAnswer: 20877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -89\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 19. Suppose -4*x - 4*r = 0, o*x + 0*x - 3*r - 28 = 0. Suppose -d + x = -23. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-33) - (-1 + (-36)\/(-44)). Let l be 18\/6*(4\/3 + i). What is the third derivative of 11*o**l - 7*o**4 + 5*o**4 - 14*o**2 wrt o?\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 13 + (-14 - 0) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-170) - 4\/34.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214 (base 6) in base 13?\nAnswer: 57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1661513952 to the nearest integer?\nAnswer: 40762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4 + 12. Let u = -9 + 14. Suppose -4*x + 5*a + 31 = -u, x = -2*a - i. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/7 + 7662*s\/7 + 2188 = 0. What is s?\nAnswer: -3829, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*k - 17 = -11, 0 = 2*b + 6*k - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 7068\/(-252))*12?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79862244.\nAnswer: 2, 3, 7, 11, 19, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (564\/(-16))\/((-33)\/24 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i + 64*i + i**4 + 0*i**4 - 20 - 4 + 23*i**2 + 11*i**3 = 0. Calculate i.\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 16 = 3*f, 0 = 135*g - 139*g + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:35 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/(-24))\/(-13) - 1\/3. Suppose j + 3*j = -w*j. Suppose j = 3*k - 5*g + 14, -4*k - 12 = -8*g + 3*g. Solve -k = 2*c + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-504)\/160*(-185)\/(-222) - (-9)\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w, -2*w + 988 = 2*n - 234. What are the prime factors of n?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -349*m**2. Let v(f) be the first derivative of 3*f**3 - 1497. Calculate v(z(b)).\nAnswer: 1096209*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 3, z: 1, n: 3, f: 1, c: 3}. What is prob of sequence znf?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 870510057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -3 + -4 + (3 - -17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k**(-2\/19))\/(k*k**(-1))**(1\/75))\/(k**4\/(k**6*k))**(-21) assuming k is positive.\nAnswer: k**(-1271\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -372.00693 - -372. What is j rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8459 + 27a?\nAnswer: -a81ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)*k\/((k\/(((k\/k**(7\/3))\/k)\/k*k))\/k))\/((k*k**12\/k)\/(k\/(k**(-1\/24)*k))))**(1\/2) assuming k is positive.\nAnswer: k**(-511\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1)*n)*n)\/(n*n\/((n**3*n)\/n))*(n*n**(-1\/3)*n)**(-27))\/((n**(-2\/5))**12)**(-4\/9) assuming n is positive.\nAnswer: n**(-662\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21*f**3 + 9*f**2 - 3. Let d be a(-8). Let h = d - -14951. Is (-3)\/(-18) - h\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 12654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (72 - 55) + -2 + 4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 4*m + 8 + 11.\nAnswer: 4*m + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25*((-1536)\/(-20))\/4. What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 55.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(245) + -3 + sqrt(245) + (sqrt(245) - (sqrt(245) + (sqrt(245) + 1)*2)))**2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**2*v**3*z**2 - j**2*v**3*z - 2*j**2*v**3 + j**2*z**2 - 22*j*z**2 + 169*j*z wrt z?\nAnswer: -16*j**2*v**3 + 2*j**2 - 44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007 and 21508?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3491811727 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32574 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - i**5 + 3*i**2 + (18*i**4 - 2*i**4 + 8*i**4)*(9*i + 38*i - 18*i + 15*i).\nAnswer: 1055*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391310*m**3 - 782688*m**3 + 391484*m**3.\nAnswer: 106*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 12*f**2 + 12*f + 14. Let c be d(-11). Suppose 4*b + 4*o = 20, 4*b - c*o = 2*o + 11. What is the closest to -1\/2 in 2\/11, b, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -353.8 - -354. Which is the nearest to 23? (a) n (b) -1\/4 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*i + 3. What is the units digit of 6\/((-8)\/180*i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - b = 1, -3*u - 2*b = u - 22. Suppose -3*k - l + 1296 = 2*l, -427 = -k + u*l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 3 + (2 - 4 + 0)*(0 - 2 + 0))*(s + s - 6*s) + (-3*s - s + s)*(-193 - 71 + 44) to a + r*s and give r.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9*d - 18 = -5*c, 5*d + 20 = 5*c. Let x be ((-8)\/(-12))\/(d\/6). Let y(v) = -4*v**2 - 2*v - 2. Give y(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 15576061?\nAnswer: 15576066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4453 - 4449. Which is the second biggest value? (a) 2\/15 (b) -0.6 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 29*u - 37 = 32*u, 0 = -6*t + 2*u - 14 - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d - 61. Let r be v(6). Suppose -r*z + 153810 = 13*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 1 i when three letters picked without replacement from {g: 4, l: 6, i: 1, z: 1, w: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1218 by 174.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*g + 3646 - 2562 = 718*g - 24262 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 101 + 110 + 183. Let d(x) be the first derivative of 0*x - t - 1\/16*x**4 - 3\/8*x**2 + 1\/3*x**3. Let d(o) = 0. Calculate o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b + 16. List the prime factors of t(-10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Is (-100)\/(-7) - s\/14 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57885 and 20400?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 14*k + 28)*(280*k - 279*k - 5*k**3 + 4*k**3) in the form u*k + w + o*k**2 + s*k**3 + x*k**4 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/2070)\/(2\/3)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5, r + 3*d + 2 = 17. Solve -3*p - 7 + 16 = r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12099 + 12098. Which is the fourth smallest value? (a) -5 (b) -3 (c) 0.19 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6691 - -348. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 4\/5, 195, 1\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6822*g + 37 - 98 - 27 = 6866*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 943aa (base 11) to base 4\nAnswer: 201211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/15)\/x**(-4)*x**(-1\/2)\/x*x**(-5\/3)\/x*((x**(3\/5))**(2\/75))**29 assuming x is positive.\nAnswer: x**(323\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 19 + 26*n + 17\/4*n**4 + 0*n**3 + 0*n**2. Find the first derivative of c(y) wrt y.\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*k**6 + 1133*c*k**2 - 3*c + 34684*k**6 wrt k.\nAnswer: 120*c*k**3 + 4162080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.044 - -0.444. Let z be (-4*2\/(-46))\/2. Which is the biggest value? (a) -1 (b) m (c) 22 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 3620728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2*k\/(k*k**5*k*k)*k*(k*k*k*k\/(k\/k**(-3)))\/((k\/(k*k\/k**(-1\/7)*k))\/k) assuming k is positive.\nAnswer: k**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 11. Let y be q(8). Let k be ((-6)\/(-24))\/(4 - y). What is the nearest to -3 in 2\/7, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*t**2 + 88*t**2 - 398*t**2.\nAnswer: -883*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*a - 82105 = -7200 for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/319 and 133\/5936880.\nAnswer: 65305680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -28 + -6 - (-4 - 1*-2). Let k = -28 - y. Solve k*f + f = -4*g - 3, 0 = 5*f + g - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 s when four letters picked without replacement from {s: 14, f: 4}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2 - 20751796*d - 98722693 with respect to d.\nAnswer: -2*d - 20751796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 627 + -622. Solve -33 = g*w - 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134809.4 millilitres to litres.\nAnswer: 134.8094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 10*n + 5. Suppose 3 + n = 4*u, 55 = -3*l + 2*u. Let d = l + 25. What is the remainder when 23 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 35. Suppose -l = p - 4*b - 0, -b = 5*p - 4. Suppose s + 5 - 11 = 0. Solve -5 = i - p*f + f, 2*i + s = -f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245\/56)\/(-7)*6\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(309*c - 313*c + 165 + 280 + 16).\nAnswer: 20*c - 2305","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680 and 544?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 5. Let l be j(11). Suppose -50 = 11*z - l*z. Let h(k) = k**3 - 8*k**2 + 6*k - 7. Is h(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 134968\nAnswer: -404904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27089 and 2963413.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + -31 - (6 - -1)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-21)*(-2)\/4*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63391880*l**2 - 6*l + 11241127 wrt l.\nAnswer: 126783760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -207 - -210. Suppose 8 = 5*h - 2*i - n, -2*h = -5*i + 4. Solve 2 = h*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3073*o**3 + 3*o**2 + 2*o - 1. Let y be r(-1). Suppose -13*a = -y - 4883. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(0 + sqrt(325)) + sqrt(325) - 3*2*sqrt(325) - ((sqrt(325) + -1)*5 + 3)))**2*-6.\nAnswer: -4493016 + 17280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ab88853 + 1?\nAnswer: 3ab88854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*7\/(70\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 57, -0.8631?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20431896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -489888645 divided by 3.\nAnswer: -163296215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - d + z - 30 = -49, 0 = 3*d - 2*z + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 459 - 288*y + 145*y + 144*y + 99.\nAnswer: y + 543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = j - 2. Let v = -4 + j. Let i be (0\/(v - 2))\/2. Solve -5*d + 0 - 10 = 0, i = 3*f + d + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:25 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6 - 1755*f**3 - 2958*f**2 wrt f?\nAnswer: -240*f**3 - 10530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from trttrtttrr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 - 13*h - 10. Let k(f) = -18*f**2 + 22*f + 20. Let q(x) = -7*c(x) - 4*k(x). Give q(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 61*k**2 - 264*k - 52. Give q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 38824*u. Let c(b) = -2*b - 46. Calculate c(j(y)).\nAnswer: -77648*y - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-2\/7))**(-49)*(f**10\/f)\/(f*f**(-1\/10)))**(-34) assuming f is positive.\nAnswer: f**(17663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5433 + -5379.94. Let o = h + -52. Round o to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b - 4*s - 156 = -44*b, 0 = 2*b - s - 74. Find the third derivative of 189*w**2 + 43*w**4 - 68*w**2 + b*w**4 + 24*w**4 wrt w.\nAnswer: 2448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = j. Suppose -80 = -9*n + 19. Solve a - d + 8 = 0, 10 + n = -j*a + 2*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 122. Suppose -4 = -5*u - 2*q, 2*u - 2*q = -5 + j. Solve -c + 0*c - 4 = 4*m, u = -5*m - 5*c + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let q = 3 - l. List the prime factors of q + 7 - (-3)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/10)\/(8\/28) and 115\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 8*r - 1. Let p be f(7). List the prime factors of (p\/(-8) - -1) + (-8645)\/(-76).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -3\/5, -0.1, -1, 0.01 in increasing order.\nAnswer: -45, -1, -3\/5, -0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 1.2. Let w = 3.8 + -1.8. Which is the biggest value? (a) t (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 40*p - 1530 = 0. Is 21 a factor of (60\/(-90))\/(1\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6021 + 7711. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1469*f - 17625. Let l be b(-12). Let w = 1 + -3. Let z(u) = 3*u**2 - u - 2. Let t be z(w). Solve -l*n - n = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*((sqrt(143) - sqrt(143)*-3) + sqrt(143)))\/sqrt(11) - (2*sqrt(1053) + sqrt(13) - sqrt(1872)*-1)).\nAnswer: 82*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0403384 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -87, -1838?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 3366396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3858555863 - -0.839?\nAnswer: -3858555862.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 13 = 4*i. Let h(w) = w + 0*w + w - i*w. Let d(y) be the third derivative of y**4\/24 + y**2. Determine d(h(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9278 + -9270. Let j(w) = w**2 + 2*w - 5. Let f be j(-4). Solve -f*u - o = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564 a factor of 1990074631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r + 3*r, 5*r = -5*y + 815. Let p be (-132)\/y - (-108)\/110. Which is the third smallest value? (a) p (b) 0.54 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 548331 and 945.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -6, -25\/2, -4\/5, -75?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/10)\/(26\/(-65)). Suppose 2*y + 1 = 5*v - 3, 0 = 2*v + l*y - 13. Suppose -25 = -t - n, 62 = v*t - 0*n - 2*n. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5833884 or 5833886?\nAnswer: 5833886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 33. Let q be f(13). Let p be ((-713)\/69)\/(1\/q). What is the greatest common divisor of 62 and p?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*y = 11, -5*r - 4*y = y - 40. Let s = -128 - -132. Suppose -r*g + 19 = -s*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/3)\/7*5\/(-25)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67465413 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 203*t + 58. Let s(j) = 34*j - 2. Let o(l) = g(l) - 6*s(l). Give o(-17).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.145 + -0.015. What is h rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let d(o) = -4*o - 2*o + 2 + 3*o. Let x(u) = -2*d(u) + 5*v(u). Let y be x(11). Solve -2 = 2*f - y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/9472 and 103\/994338.\nAnswer: 127275264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -17. Let r be (-2)\/(s\/9*3). Let l = -87 - -87.07. Are l and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o - 2)*(-740 - 357 + 1389).\nAnswer: -292*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/13)\/(181\/(-9) - -12 - -8).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o = 103*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 36. What is m(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.554 - 33?\nAnswer: 31.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938220447?\nAnswer: 3, 521, 600269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 8}. Give prob of picking 1 b and 2 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 15*k + 11. Let n be 4\/(-6) - 40\/3. List the prime factors of d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 4*p - 7. Let f(b) = 7*b**2 + 3*b - 6. Determine 5*f(s) - 4*h(s).\nAnswer: 3*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244\/1979 or 1\/3?\nAnswer: 244\/1979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31874372 is divided by 15937181.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -3\/4, 17, -821?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 15, -95, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.533 - -0.007. Let d = z + -0.14. What is the closest to 1\/3 in -1, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = d + j, -2*j + 6 = 5*d. What is the tens digit of 13\/(d - 2\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446933*n**2 + 1340806*n**2 - 446937*n**2 - 446939*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 23. Let p(f) = f**2 + 8. Let a(q) = 17*p(q) - 6*u(q). Let b(m) = m**2 - 1. Determine a(z) - 2*b(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {s: 5, i: 5, r: 1, y: 4, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 0.5 (c) 2\/77 (d) -18 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**3 + i**2 + 3*i - 2. Let b be k(1). Solve 4*j = -b - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from yvzxgxvc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**5 - 15850*h**4 - 362005*h**3 - 314480*h**2 + 692340*h = 0.\nAnswer: -3147, -22, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -531348239 less than 2?\nAnswer: 531348241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 16592*y - 16591. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270851.\nAnswer: 7, 38693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53792 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*u - 2, 5*u - 45 = 233*a - 228*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462528 and 33272?\nAnswer: 1923653952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3744)\/50232*(-5060)\/40?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9008 + 8936. Suppose -9 = -k - 0*z + 4*z, -3*z = 3*k + 18. Which is the third smallest value? (a) -2 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {y: 1, f: 2, p: 5, r: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12438 = 13*c + 5*c. Let l = 6223\/9 - c. Find t such that 4\/9 - l*t + 1\/9*t**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -699, -2032, -3369, -4710, -6055?\n\"Answer: -2*x**2 - 1327*x + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 563797 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 4*s**2 + 2*s - 12. Let x be q(4). Let k(v) = 15*v**2 - 20*v - 11. Let c(h) = 16*h**2 - 20*h - 12. Let p(o) = x*k(o) + 3*c(o). Factor p(n).\nAnswer: -4*(n - 2)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 4*g - 8. Let a be t(-3). Let b(s) be the first derivative of -s**4\/4 - 4*s**3\/3 + 3*s**2 + 7*s - 6. Let y be b(a). Solve -1 = -y*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 50*s - 1 + 0 + 16*s. Suppose -3*v + 3 = -0*v. Let z be p(v). Calculate the highest common factor of 26 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3978*y**2. Let l(r) = 2*r**2. Calculate u(l(p)).\nAnswer: 15912*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 114*m**2 + 3*m - 65. Suppose c + 19 = 25. Is y(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*i = -24, 3*d - 10 = 3*i + 17. Let t = 9 - d. Suppose -3*m = -5*p + 29, -t*p = -2*p - 3*m - 1. What is the highest common factor of p and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -6, 0.1, -160\/109?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 25*n + 12. Calculate the remainder when a(7) is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4)**(1\/14) assuming r is positive.\nAnswer: r**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5921990\/263 - 94543017598\/4198795. Let f = 930262657\/63860 - c. Let h = 14561 - f. Find the common denominator of 79\/6 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4277 and 561509?\nAnswer: 3930563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h**2 - 72*h + 324. Give d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4689*r + 1223834. Give n(261).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9683 - -9682.9932048. Round o to 4 dps.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 8*s - 182 = 0. Solve -10*i + s*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1367*m**3 + 3*m**2 - 6283*m.\nAnswer: -8202*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, h: 3}. Give prob of picking 2 b and 1 h.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**2 - 16. Let k(q) = -8*q**2. Give k(t(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 1ca?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 12*v + 13. Determine a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 147\/14*(-2)\/(-3). Let q = w + 18. Let g = q + -17. Solve -g*f + 5*f + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6865 + -6861. Suppose 0 = -3*i + 5*i - 80. Suppose -3*k = k - i. Solve -f*g - 12 = -4*c, -4*c = 4*g - k - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0 = -6. Let u be 4\/(-3)*o*3. Suppose -3*d - 95 = -u*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10267, 20532, 30797?\nAnswer: 41062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:04 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.988 - -17. Let c = i - 0.012. Put -2\/5, 1\/9, c, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/9, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 58 = -4*y, 5*k - y = 289 - 37. Let u(r) = -29*r - 125. Let t be u(-5). What is the highest common factor of k and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*f - 5*m, -3*m - 1972 = -1987 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 15822.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(539)*5 - (2 + sqrt(110)\/sqrt(10)*-5)).\nAnswer: -30*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + 26. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 (base 13) to base 12\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81490 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 51*h**5\/4 - h**4\/4 + 35*h**3\/6 + 90*h. Find the third derivative of c(w) wrt w.\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y - 316. Let m be v(-22). Sort m, 3, -3, 2.\nAnswer: m, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqk when three letters picked without replacement from pkgaqqz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2*1)\/((828\/288)\/(-23)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2330 + -2329.95. Let g = -7.4 + 7. Which is the closest to -2? (a) 0.1 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61\/28 + -24\/7. Let j(c) = -17*c**3 + 2*c + 1. Let m be j(-1). Find the common denominator of k and 4\/m - (-7)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3564 + -3552. Solve 14 = -13*t - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/2246023 and 55\/2764336?\nAnswer: 35936368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13930, 27830, 41720, 55606, 69494, 83390, 97300, 111230?\nAnswer: 125186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -81 - (87 - 74)) + 12 + -9?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwjj when four letters picked without replacement from wwsjjfsjjjjwffjj.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 10:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6934671 grams to milligrams.\nAnswer: 693.4671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u. Suppose t - 5*t - 18 = -2*q, -4*t = -4*q + 16. Let o(k) = 2*k**2 - 10*k - 4. Let d(b) = q*o(b) + 4*p(b). Factor d(h).\nAnswer: 2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = -4. What is the highest common divisor of 30 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62\/33 - -500\/231. Let t = -8 + 8.03. Which is the third smallest value? (a) 0.2 (b) t (c) y (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 28169?\nAnswer: -42253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-53 - -69 - 20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgii when four letters picked without replacement from iiiiikikgikikfiikik.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**6\/360 - p**5\/120 - p**4\/8 - p**3\/3 - 1. Let q(f) be the third derivative of w(f). List the prime factors of q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(2529\/455220)*(-10)\/(-3)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34872443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5344810 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -2*i**2 + 22\/525*i**7 + 0 + 64\/75*i**5 - 12\/25*i**6 - 6*i + 0*i**3 + 256\/15*i**4 - 1\/840*i**8. Factor b(o).\nAnswer: -2*o*(o - 8)**3*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -203?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.572 and 448.1.\nAnswer: 256.3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1*(-3 + 1)). Suppose j = -5*i - 18975, -19005 = j - l*j - i. What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 6:06 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.27. Let a = -0.0046884 - -0.20468844. Let c = o + a. What is c rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 3:00 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o + 28. Let r be y(14). Let k = -148 + r. Is 33 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 3. Let n(y) = 2*y + 4 + 2*y + 0*y. Let r(j) = -3*f(j) + 2*n(j). Does 3 divide r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180))**2 + -2.\nAnswer: -12*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c**2 + 8*c + 8. Let d(x) be the first derivative of 2*x**3 + 3*x**2\/2 + 3*x + 10. Let a(v) = -8*d(v) + 3*j(v). Let g(i) = 2*i**2. Give g(a(m)).\nAnswer: 162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 + 2*c**2 - 5*c + 6. Let h be f(-5). Factor q + 4*q**4 + h*q**4 - 4*q**2 - 3*q + 6*q - 4*q**3.\nAnswer: 4*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.276 minus -0.02?\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3 + 1452*a**2 - 177135*a + 348486 = 0.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2648*h - 669 - 7268*h + 669.\nAnswer: -9916*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23b3ba + -64?\nAnswer: -23b462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1692073*v**6*x + 2*v**3*x - 2604*v**2*x + v**2 + v*x - 70 wrt v?\nAnswer: 203048760*v**3*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.52 + 58.51955945. What is a rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0482, 0.2, -2, -5\/2, -6.\nAnswer: -6, -5\/2, -2, 0.0482, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -483, -588, -603, -534?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1649?\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**6 + p**3 + 0*p**2 + 0 + 0*p**4 + 1\/21*p**7 + 0*p**5 + 6*p. Find the second derivative of v(c) wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3*x + 52 = 73, -7*p + 29 = 4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*k**3 + 2 - 3*k**3 + 0*k**3 + 2*k**3 + (18*k**2 - 15*k + 15*k)*(5*k + 0*k + 3*k) + k**3 - 6*k**3 + 2*k**3.\nAnswer: 142*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36159 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in -1\/3, -0.6, -3, -2, -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 53*w - 54*w + 16 + 59 = 0, -20 = -36*w + 88 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*w**2 + 5*w - 5*w + (2 - 2*w - 2)*(0*w + w + 0*w + (-8*w + 31*w - 5*w)*(6 - 1 - 4)).\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -36*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-2)\/15)\/(4\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-6)*(-12)\/(-22)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -22. Let p(h) = -2*h - 7. Let q be p(d). Solve -3*t = q*c + 6 + 28, t + 3 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151229, 151239, 151251, 151265, 151281, 151299?\nAnswer: 151319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*i**3 - 64*i**3 + 253*i**3 - 67*i**3 - 53*i**3.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.93583l to millilitres.\nAnswer: 11935.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, -6, -15 in descending order.\nAnswer: -1, -6, -15, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdds when four letters picked without replacement from sdsdsddddddddsdsddd?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let j(l) = -4*l - 93. What is j(u(p))?\nAnswer: -8*p**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 2) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/21 (b) 20997 (c) -2\/15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 110 = 5*d - 27, -94*d - 39*d - 53*d - 5*f = -5374 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. List the prime factors of -5 - -34 - (y - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*c + 8, -f = c - 0*c - 4. Let x be 0 - (-1 - f) - 1. Solve -3*a + 4*w + 8 = -x, -3*a + 5*w = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1975, 10011, 31815, 74269, 144255?\nAnswer: 248655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and (2\/8)\/(-6 - 37\/(-7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - c + 4)*(-4 + 4 - 2*c) - 16*c**2 + 8*c**2 + 44*c**2)*(0*c**3 + 2*c**3 + 0*c**3).\nAnswer: 76*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 8*q - 9. Let o be j(3). Suppose 0 = -o*b + 4 + 2. What is the second biggest value in 0.1, b, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 84 = 6*l, 11*z + 40 = -18*z - 5*l - 0*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1656.204363 + -1656.2. What is q rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5376911 millilitres?\nAnswer: 0.0005376911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*t = -451*t - 2058. Calculate the least common multiple of t and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1042.229621 to one dp.\nAnswer: 1042.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0 + (1 - 1 + 2)*(-23 - 17 + 9) - 2 - 2 + 2)*(v + 0 + 2 - 3).\nAnswer: -66*v + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14958, 60019, 135120, 240261, 375442, 540663, 735924?\nAnswer: 961225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 202\/77 - (-7 - -5)*-1 and -62\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/(v\/(v\/v**(-3\/5))))\/v)\/v*v*v\/(v*v\/v**1*v*v)*v)**(4\/11)*v**5\/(v\/v**(-1\/4))*v**3\/((v*(v\/(v\/v**6))\/v)\/v) assuming v is positive.\nAnswer: v**(433\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 26174 + 6422 = 0. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/7953 and -31\/7953.\nAnswer: 7953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 26*v + 93. Let r be u(3). Suppose -27 + r = -3*g. Solve 17*i - 10 = g*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 173281.17 to the nearest 1000.\nAnswer: 173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 - 9 = 0. Solve -m*d + 3 + 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 10, t: 6, x: 1, h: 2}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-8))**5\/((l\/(l*l**(-31)))\/(l*l**(2\/37))) assuming l is positive.\nAnswer: l**(557\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -13. Let v(a) = a**3 + 8*a**2 - 9*a. Let u be v(-9). Suppose 3*n + 5*y + 17 = u, p*y + 0*y + 4 = -4*n. Solve 3 = z + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2209*l + 6 - 4 + 29 - 4.\nAnswer: 2209*l + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 10. Let y(a) = 2*a**2 - 3*a. Let l be y(q). Solve 1 = l*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**33)**(-2\/33)*(q\/(q\/(q\/(q*q**(-6)*q)*q)))\/(q*q**7)*(q**(-1\/3))**(-2\/153) assuming q is positive.\nAnswer: q**(-916\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215 - 213. Let a(z) = 4*z**2 - 19 - 5*z**m - 2*z + 9 + 12. What is a(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5920 - 4103. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10271*f - 13024 = -10678*f for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 161*k**4\/12 + k**3\/6 + 3*k**2\/2 + 7*k. Let b be d(-3). Does 41 divide (0 + 36\/(-21))\/((-9)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 32 - 6 + 11 - 10 - 12 + 1.\nAnswer: w - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*(-1575)\/150.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-6)*(351\/(-27))\/(-52)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 37 + 5*y - 33 - 3*y. What is p(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8955 + -4488. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119992, -119789, -119586, -119383?\n\"Answer: 203*s - 120195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -865*m**3 + 2*m**2 - 2*m - 3. Let b be 35\/(-5) + (-8)\/(-2) - -2. Let o be h(b). Round o to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 5. Let u = q - -12. Solve -6*t + 20 = -t + d, -u*d = 5*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37127*v**2 + 12*v - 1 + 37132*v**2 - 74251*v**2 as t*v + s*v**2 + z and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22754103 rounded to three decimal places?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 7 - 2. Solve 0 = j + 3, -2*j - 14 = -c*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 3 (c) -2\/3 (d) 1.8 (e) -220 (f) 16 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10599858 is divided by 244.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 149 * -0.1\nAnswer: -14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 131323.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*d**2*o**3*z - 2*d**2*o*z - 8*d**2 + 58*d*o**3 wrt z.\nAnswer: -111*d**2*o**3 - 2*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:21 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2669 - -2666. Which is the fifth smallest value? (a) -1\/5 (b) -2 (c) -1 (d) x (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w - 1. Let g be m(0). What is the fourth biggest value in -4\/5, g, 28, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -329*d**2 - 7 with respect to d.\nAnswer: -658*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**5\/20 + f**4\/6 - f**3\/6 + 3*f**2\/2 + 125*f. What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 10*c + 2233 = 0. Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*j**2 + 4*j + 214*j**2 + 15*j**4 + 17*j wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36976 + 38761. Calculate the smallest common multiple of v and 306.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 9) to base 3\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 721 - 724. Let p be (-18)\/12*((-5)\/z + -3). Solve -p*w + 7*w + 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let m(t) = 3*t - 8. Determine -m(c) + 2*z(c).\nAnswer: -5*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 5:30 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 28. What is the closest to -0.1 in -2\/5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359920.5 kilograms in tonnes?\nAnswer: 359.9205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5558469*q - 4286513 wrt q?\nAnswer: -5558469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, 3, -3\/17, -0.6?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 6) to base 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 166*b**2 - 431*b**2 + 19 - 39.\nAnswer: -597*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a**(-2)\/a)\/(a**(-3\/8)*a**5) assuming a is positive.\nAnswer: a**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/10 + 84\/(-20). Let v = u + 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: Calculate prob of sequence lx when two letters picked without replacement from {x: 1, l: 1, w: 3, p: 9}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 + r**4\/12 + 49*r**3 - r**2 + 3. Is 21 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*h = -24, -3*g - 2*h + 12 + 16 = 0. Let f be 12 - g - (0 - 2\/(-1)). Solve -4*l - f = 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93b + 70963?\nAnswer: 70024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -219 + 30?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49\/96 + 5\/32. Suppose 753*f - 4 + 6 = 754*f. Solve 4\/3 - f*s + d*s**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4172*f*s - 2314*f + 4*s wrt s.\nAnswer: -4172*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*p + 5*o = 190*p - 111 + 456, -11*p + 751 = 3*o for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3552026 and 312.\nAnswer: 554116056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8920 and -51\/17360.\nAnswer: 3871280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42707548.\nAnswer: 2, 13, 97, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-5) + 4\/10. Let h be (-28)\/80*4 + 2\/5. Put d, h, 0 in descending order.\nAnswer: 0, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 9*i = -244, 4*p - 5874*i + 183 = p - 5869*i for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 381911 to the power of 1\/2, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4451 - -4453. What is the biggest value in -6\/7, 0.2, w, 4, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 10 = 2*v, 57*v - 195*v = -4*d - 80*v - 53*v + 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2)\/(-3 + 9)). Differentiate -q**3 + 2 + 2*q - t*q + q wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 37147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/10*-2*3\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = h - 268 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y. Let n(m) = m + 5. Let g = -3 - 1. Let u be n(g). Let l(q) = -2. Determine u*l(r) + d(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 + 5*n. Let l(t) = t**3 + 5*t**2 - 6*t + 2. Let d be l(-6). Suppose 5*x + 5*u + 15 = 0, 5*x + d*u + 16 = -5. Determine r(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 3 - 4*c + 11*c wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 8*l + 0*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5695112.5 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(170)*2*-6 + sqrt(170) + sqrt(170) - sqrt(170)))\/((sqrt(360) - (sqrt(360) + sqrt(360)*1) - sqrt(360)) + sqrt(360)).\nAnswer: -4 + 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 - 1)*(-7599)\/(-357). Let f = -406 - m. Is -3 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -422 + 746. Suppose -20*v = -2*v - g. Solve 8 = 20*p - v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(21\/(-6))\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.8862 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0*c*(c*c**(-4\/11))\/c*c*c*c)\/(c**0\/c**(2\/39)) assuming c is positive.\nAnswer: c**(2011\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500596 is divided by 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 28 + 13)*(-140 - 44*b + 82*b - 36*b) to u*b + q and give q.\nAnswer: -4340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 29*p + 16. Let v be x(14). Solve h = v*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 71, 97, 137, 203, 307?\n\"Answer: 2*q**3 - 11*q**2 + 43*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -42531, 0, -4, 2, -5 in descending order.\nAnswer: 38, 2, 0, -4, -5, -42531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/2, -2.2, -222 in decreasing order.\nAnswer: 4, 1\/2, -2.2, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -64960*g - 454718. Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893056 to the power of 1\/2, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 + 2*u. Suppose 0 = 2*f - 13 + 9. Let t(y) = -6*y**3 + 2*y. Give f*j(h) - 3*t(h).\nAnswer: 4*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2. Let j(x) = -49*x**2 - 8*x. Give j(t(b)).\nAnswer: -196*b**4 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 244.2363 and -0.3.\nAnswer: 243.9363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:41 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*n + 6912 = -3671 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**5\/15 - j**4\/12 - j**3\/3 - 3*j**2\/2 + 3. Let q(v) be the second derivative of m(v). Factor q(n).\nAnswer: 2*(n - 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.116, 5, 0.3, 32364 in descending order.\nAnswer: 32364, 5, 0.3, -0.116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:25 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -10)\/(4\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w + 6. Let y(b) = -b - 1. Let g(h) = c(h) + 6*y(h). Let j(s) = 4*s + 1. Calculate 2*g(f) - j(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9612861 days to microseconds.\nAnswer: 83055119040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 0 (c) -3633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 15, 5*r + 25 = 2*v + v. Suppose -4*l - 11*l + 238665 = v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) - 32\/(-12). Suppose m = 2*o + 5, 0 = g*m + 2*o + 5 + 9. Let d = m + 5. Solve p - d*p = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 11 - 31 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 11*z**2 + 73*z + 144. Give d(-6).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2515*f**2 + 264*f - 994 + 994.\nAnswer: -2515*f**2 + 264*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-564)\/(-4)*(-1006)\/3018?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*o + 2*o - 62 = 0, -4*b = -3*o + 123. Let m be (8\/((-16)\/b))\/(3\/2). Calculate the greatest common divisor of m and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxuu when four letters picked without replacement from uxlxu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8621, 33876, 75763, 134282, 209433, 301216?\n\"Answer: 8316*n**2 + 307*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -65?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4812.564 centuries?\nAnswer: 481.2564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 4 (c) -6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/11, -1\/3, -0.2, -283?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -43. Suppose k*q = 2*q + 494. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (-6*sqrt(2736)*1 + sqrt(2736))) + -3)**2 + -1.\nAnswer: -432*sqrt(19) + 98504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*v + 614 + 1906 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*h + 14 - 53*h - 8)*(2*h - h + h)*(3 + 2 - 3).\nAnswer: 4*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/21 (b) 0.5 (c) 129 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 420463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {a: 6, h: 3, p: 4, x: 1, l: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1a967 (base 16) to base 10\nAnswer: 108903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1027937*g**2 - 7439591 wrt g?\nAnswer: -2055874*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 14*o**2 - 3*o - 21. What is d(-14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*l + 5*r, -3*l + 4*l + 5*r = -19. Let x(t) = -t**3 - 5*t**2 - 6*t - 6. Let f be x(l). Solve 3*n + 7 + f = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.1 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/27*4\/7*-6*65\/65260?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/12)\/((-4)\/48). Solve -f*x = -4 - 4, -u - 6 = -2*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/4 - 38*c**3\/3 - 23*c**2\/2 + 8*c + 127. Let g(r) = -r**3 + r**2. Let k(l) = -3*g(l) - j(l). Factor k(h).\nAnswer: (h + 1)*(h + 8)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb2ba (base 13) to base 8\nAnswer: -1315436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94423772 + 47211882 + 47211890 - 18*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -642.14 take away 1?\nAnswer: -643.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 - 18*q**3 + 3*q**2 + 52*q - 36 = 0.\nAnswer: -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 185, 181, 177, 173, 169, 165?\n\"Answer: -4*w + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p - 11. Let f be k(-5). Suppose 3*w - 734 + f = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20970\/(-932)*33\/(-44)*8\/(-15)*2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26747 divided by 11.\nAnswer: 26747\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w + 1454. Let s(t) = t. Determine s(k(r)).\nAnswer: 13*r + 1454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from kwzzwzzkzkkktwwwuzz.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -25. Let i be (1 - 2)\/((-1)\/10*u). Sort 4, i, -1 in descending order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**2 + 30*v - 15080 = 0.\nAnswer: -58, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, 5182 in decreasing order.\nAnswer: 5182, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22866 + -22869. Which is the smallest value? (a) -3\/8 (b) w (c) -335\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/20)\/(3\/(-4)) - 2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1908, -2337, -2752, -3147, -3516, -3853?\nAnswer: -4152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.5362ml in litres?\nAnswer: 0.9495362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let i(j) = -j - 1. Let q(g) = -5*i(g) - 6*m(g). Let d be q(9). Let w = 197 + -586\/3. Which is the biggest value? (a) w (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvf when three letters picked without replacement from nnnnfnnnnnvvvnnnn?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f**2 - 4*f - 48. Let w(z) = z**2 + z. Calculate -h(s) - 4*w(s).\nAnswer: 5*s**2 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76) + (sqrt(114)*2)\/sqrt(6).\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003950066908 to seven decimal places.\nAnswer: 0.000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 30. Let y be g(-6). Suppose 50 = -2*h + 4*h - 5*x, -2*x - y = -h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4734410 to the nearest ten thousand.\nAnswer: 4730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19848 and 393652?\nAnswer: 2361912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926*d**3 - 462*d**3 - 449*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 4 + 5*z**2 - 5*z + 0 - 2*z**3. Let d(b) = b**2 - b + 1. Let x be (1\/(-3))\/((-6)\/(-18)). Let p(i) = x*l(i) + 4*d(i). Calculate p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -1\/2, -3 in decreasing order.\nAnswer: -1\/2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 583603.87+1.1\nAnswer: 583604.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4*h + 0 - 2)*(5 - 2 + 0 + (0 + 0 - 1)*(-1 + 8 - 3)).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-15)*(-18)\/4. What is the greatest common divisor of a and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -326*v**3 + 2*v**2 + 2*v. Suppose -2*f - 5*n = -13, -2*f = 3*f + 3*n - 4. Let y be z(f). Suppose 0 = -6*o + 5*o + y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 67. Calculate the remainder when o is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -387*l**2 + l - 83. Let y(x) = 385*x**2 - x + 79. Let k(s) = -6*m(s) - 7*y(s). What is the second derivative of k(g) wrt g?\nAnswer: -746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*r - 14812 = -36667 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 + 2*i**4\/3 - 5*i**3\/6 + 11*i**2\/2 + i. Let z = -546 - -553. Let q be t(z). Solve 5*k + 0*k = -q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -4*(sqrt(70) - (sqrt(70) + sqrt(70) + sqrt(70)*-1) - sqrt(70)))\/(sqrt(270)\/sqrt(6)))\/((sqrt(28)\/sqrt(2)*5)\/(sqrt(4)\/sqrt(2)*-1)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114435 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73749608*z**2 - 231828613.\nAnswer: 147499216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = 7*y + n, 3*y - 12 = -n. Suppose 0 = 3*o - y*r - 103520, -3*o - 3*r + 107466 - 3981 = 0. Round o to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62077073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2167 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5068*l + 6729*l + 1825*l.\nAnswer: 13622*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1437, -6603, -15483, -28077?\n\"Answer: -1857*x**2 + 405*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287736 is divided by 95669.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4054*v - 6. Let i be t(11). What is i rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499862143?\nAnswer: 11, 43, 67, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 231*b - 11. Let d(h) = 413*h - 4. Calculate r(d(w)).\nAnswer: -341138*w**2 - 88795*w + 881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 8*k - 5. Let i be j(7). Let q = -83037\/7 - -11863. Which is the fourth smallest value? (a) -2\/7 (b) i (c) q (d) 2\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 - 18*j**2 + 283*j - 265. What is u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 627 = 3*s, 5*u + 413 + 5 = 2*s. Let l = -209 + s. Solve -3*f = -5*i - 7, 5*f + 0*f - 2*i + 1 = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q*q\/(q**(-28)\/q)*q)*(q*q**(-30)*q)\/q*(q**(-18\/11)*q)\/q*q\/q**(38\/7) assuming q is positive.\nAnswer: q**(-5010\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from hucoemu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 29.7. Sort u, -3, 5 in descending order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 310, 146, -1 in ascending order.\nAnswer: -3, -1, 146, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1 - c - 5*c - 2 + 5*c**2. What is the remainder when 75 is divided by b(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-10)\/(-25)*-31 + 7).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101177670 divided by -2607?\nAnswer: -38810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-5*(sqrt(7) + sqrt(7) + sqrt(7)*1)).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y**3 - 111*y**2 - 92*y + 40. Let v(l) = -33*l**3 + 94*l**2 + 64*l**2 - 81 + 183*l + 64*l**2. Let p(z) = -9*s(z) - 4*v(z). What is r in p(r) = 0?\nAnswer: -1, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2747 is divided by 172?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.69 + 2.09. Let o = z - -16.6. Let a = 6 - 11. What is the nearest to -1\/3 in 0.1, o, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from aahm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 2 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-1 - 349119\/(-60)). Let j = s + -5818. Find the common denominator of -57\/2 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 plus 654400?\nAnswer: 654400.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3325133, 3325204, 3325275, 3325346?\nAnswer: 3325417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 19 = -13. What are the prime factors of (8 - 35\/4)\/(q\/(-608))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -611.2, -2\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 33*u + 249. Let c be b(-6). Calculate the highest common divisor of 81 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23610747 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163501*f**5 - 8*f**2 - 27*f - 29 wrt f?\nAnswer: -9810060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 19*b - 64. What is the lowest common multiple of k(3) and 546?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 13*s + 38. Let u be f(8). What is the smallest common multiple of 17 and u - (-7)\/(42\/30)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p**2 + 3*p - 1. Let j(t) = t**3 - t**2 - t. Give -3*j(i) - n(i).\nAnswer: -i**3 + 4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 40*f. Let j be z(8). Let x(n) be the second derivative of -2*n - 5\/6*n**3 + 2*n**2 + j - 1\/6*n**4. Determine x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18600 is divided by 426.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/(g\/(g\/g**(-13))*g))**8*(g**(-7)\/g**(-1\/5))**(-2\/15) assuming g is positive.\nAnswer: g**(93284\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 + 12*x**2 + 16*x + 4. Let v(g) = -4*g**3 + 13*g**2 + 17*g + 5. Let k(p) = -5*q(p) + 4*v(p). Determine b so that k(b) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 278 = -5*q. What is the highest common factor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -861 + 1453. Let r be 7\/((-28)\/q) + 3. Let h be ((-1)\/3 - -1)*87\/r. Which is the biggest value? (a) h (b) -0.1 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34853638 and 2.\nAnswer: 69707276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 13 = 38 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13))*-2 - 4*sqrt(13)*-2 - (-1*sqrt(416))\/(sqrt(2) - 3*(sqrt(2) - sqrt(32))))**2.\nAnswer: 128*sqrt(13)\/5 + 13412\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 21 - (-13)\/((-130)\/90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-272*g - 2741*g - 5619*g + 386*g)*(1 + 0 - 2) as a*g + f and give a.\nAnswer: 8246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p**3 - 5*p**2 + 867*p + 4. Let f(r) = 11*r**3 - 4*r**2 + 866*r + 3. Calculate -4*f(w) + 3*m(w).\nAnswer: -2*w**3 + w**2 - 863*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, n: 4, m: 4, l: 3}. What is prob of picking 2 q and 2 m?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1471*r**4 + 54*r + 6 wrt r.\nAnswer: 17652*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 1. Let m(q) = 3*q + 1. Let g(b) = -b + 14. Let x be g(8). Let y be 1\/((x - 4)*3\/(-24)). Determine y*m(f) + 3*c(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13749*t**3 - 34*t + 34*t + 13649*t**3.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 + 134*b - 1923. Give j(17).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8821 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -19*y**3\/6 + 11*y. Let r(i) = -4*i**2 + 3*i**2 + 3*i**2. Determine z(r(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 295 - 295.000121. Round c to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 3. Let t be c(-3). What is the third derivative of -4*z**2 + 3*z**2 + 3*z**5 + 0*z**3 + t*z**3 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 63. Let i(h) = -h**2 - 6*h + 1. Let m be i(-6). Solve -m = -w + j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-9) + 528421\/423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = -13. Suppose -i + 6 = 2*i. Let h(w) = -27*w - 134. Let k be h(-5). What is the biggest value in -0.4, k, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/59279?\nAnswer: -9\/59279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2413240101?\nAnswer: -2413240043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40568347\/6 or -6761390?\nAnswer: -6761390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266 + 22*x + 266 + (-1 + 1 - 2)*(x + 0*x + 0*x) - x - 4 + 4)*(-x + x - 6*x).\nAnswer: -114*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 33*i. Let k be p(3). Suppose 236 = 5*f + 66. Let n = k + f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**2 + 2*l + 10. Let v be z(-4). Let n = v - 24. Let o = n - 94. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5175.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*s + 5*t, -6*t + 11 = -3*s - 8*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-378)*12\/(-2))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.699978523 to three decimal places.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*y + 3 - 3 - 2*y + 3 + (3 - 3 + 1)*(2*y - 3*y + 2*y) + 2 - 2 - 2*y - 2*y - 4*y + 5*y + (2 + 0 - 1)*(-48*y - 28*y - 24*y).\nAnswer: -102*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 2 - sqrt(272)) + sqrt(272) + ((-2*sqrt(17))**2*3 - sqrt(17)).\nAnswer: 3*sqrt(17) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*m + 6545 = -1050 + 10 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322.063 - -0.063. Which is the second smallest value? (a) z (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 1080*r**2 + 21326*r + 46956.\nAnswer: -2*(r - 21)*(r + 2)*(r + 559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07001 and -13.\nAnswer: 0.91013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -2, 3, -10 in decreasing order.\nAnswer: 105, 3, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 4*i**2 - 4*i - 7. Let f = -1494 + 1491. Calculate d(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywlw. What is prob of picking 1 y, 1 l, and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1824*k**3 - 1815*k**3 + 5456*k**3 - 1818*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19525, 19556, 19585, 19612, 19637?\n\"Answer: -n**2 + 34*n + 19492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 37, 79, 127, 175, 217, 247?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*m = 20, q + 2*m + 8 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74, -68, -58, -44, -26, -4?\n\"Answer: 2*j**2 - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (-18 - (24 - 23)) - -10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -9 + -11 + 25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 + 595*w - 558. Let b be h(84). Solve 2*q = -4*f + f - 16, 5*f = -5*q - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55101 - -77211. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-53919)\/(-22))\/((-5)\/(-45)). Let t = c - 22062. Let s = -20143\/10 - -2024. Calculate the common denominator of t and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (-2*sqrt(91)*5)\/sqrt(7) + -3 + (-4*(sqrt(1872) + 1))**2.\nAnswer: 374*sqrt(13) + 29972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i - 5. Suppose 24 = -3*j + 5*n - 7*n, -2*j - 24 = 4*n. Let v be c(j). Does 39 divide (-4)\/((-12)\/105) + v + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 + 1. Let o = k - -0.8. Let g = -2.4 + 2.5. Put g, o, -0.3 in descending order.\nAnswer: g, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*c - 782, a + 4*c - 390 + 148 = 0. Suppose 3*p - 816 = -a. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + 6*u + 4. Let v(n) = -5*n**2 + 6*n + 3. Let d(g) = 4*a(g) - 5*v(g). What is d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*t + 3, -4*r - 2 = -6*r - 4*t. Let k be 6849\/13 + (-4)\/(-26). Let h(v) = -526 - v - 4*v**3 - 20*v**3 + k. Calculate h(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 12*f - 17. Let a be n(10). Factor 40*q**2 - 6*q**a - 9*q - 25*q**2 + 3 - 3*q.\nAnswer: -3*(q - 1)**2*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 2. Let c(f) = f**3 - 8*f**2 + f + 3. Let j be c(8). Suppose 1 = -5*m + j. Calculate d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*x = 13*x - 68, -3*n - 2*x + 50 = 0. Suppose -4*c = -8 - 16. Calculate the greatest common factor of c and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -29*y**2 + y + 9. Let x be s(-3). Is 8 a factor of (-11)\/(-88) + x\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*b + 500*b + 24 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4121.669 times 7\nAnswer: 28851.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6741*g**2 - 230*g - 1891. Is s(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206103805*h - 24*h**3 + 206103805*h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4544 and 80230?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**5\/70 - r - 1. Let o(n) be the first derivative of c(n). Factor o(d).\nAnswer: 2*d**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*c + 37 - 12, -c - 17 = -4*p. Suppose 4*r = 208 + 16. Suppose -r = b - 5*b + 5*w, -p*b + 39 = -3*w. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124815545*0.5.\nAnswer: -62407772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1747 = -7*n - 6*m, -3*n + 2*m + 743 = 0. What is the remainder when n is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150.7 times 9?\nAnswer: 10356.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 13*u**2 - 1 - 4.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:47 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u - 10 + 6*u - 8. Let h = -75 + 91. What is the units digit of l(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**4\/24 - g**3\/2 - 4*g**2. What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*j = -24, 0 = -5*t + 2*j - 3 - 0. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276874 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.7 and 3.4?\nAnswer: 49.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 1. Let r(m) = 6*m - 8. Determine 4*j(l) - r(l).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/210 - t**4\/84 - 2*t**3\/7 - 29*t**2. Factor m(d).\nAnswer: 2*(d - 3)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 + 11*v\/8.\nAnswer: -v*(v - 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2 + 2)*(15 + 1 + 5) + 5*q**2 - 5*q**2 + 4*q**2.\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 - -148. Solve m = 5*u + 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -15923.\nAnswer: -9\/15923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/7, -1589538, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (21 - -5) - (5 - -1) - 19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 6*o - 40. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (12 - -3))*1732\/(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28079120 divided by -1403956\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22123304 + -2?\nAnswer: -22123310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**3 - 11\/12*p**4 + 0 - 2*p - 78*p**2. Let t(y) = -y. Let w(f) = 2*f. Let k(a) = 7*t(a) + 3*w(a). Calculate o(k(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f + f - 6204. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-16 - -37) + 0 + 6\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/13 + (-41528)\/(-3016)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from {r: 5, x: 2, i: 1, z: 6, p: 3}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Suppose z = -0*z + x. Let f(u) = -z*u + u + 3*u. Let w(o) = -4*o**2. Calculate w(f(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = 4*x, -3*x - 7 = -c + 1. Suppose 2*o = 5*w + 652, -2*o + 4*w + 1304 = c*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**4 - 4*u**4 - 7*u**4)*(3 + 0 - 1)*(-2*u + 0*u - 2*u).\nAnswer: 144*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*o + 24, o - j - 30 = -4*o. Let v be o\/(-3)*30\/(-12). Suppose 233 = -2*l + v*k + 81, l + 82 = k. Round l to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -150708.\nAnswer: -5\/50236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 4*v - 35344, -5*w - 4*v = 44180. Let b = w + 194459\/22. Calculate the common denominator of (-55)\/(-34) + 2\/(-17) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2530)\/(-115)*(-24)\/(-968)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -72*c + 1. What is the hundreds digit of l(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n = -222 + 1124 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 = -3*h, 10851 = 2*y + 3*h. Let k = y + -11787. Is (1\/(-3))\/(8\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4, 1\/6, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.94 * -0.02756.\nAnswer: 2.0929064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-297) - 2\/(-22)*-387) + 2\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -0.06. Let s = 2.9 - 3.66. Let m = u - s. Round m to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 + (50 - 11732\/140))\/((-2)\/(-255))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 835, 1879, 3341, 5221, 7519?\nAnswer: 10235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -892, -919, -958, -1015, -1096?\n\"Answer: -s**3 - 20*s - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -18, -19, -20?\n\"Answer: -g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445351 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -95343*u. Let f(w) = w**2. Determine p(f(v)).\nAnswer: -95343*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1878 - 0) + (-18)\/24*4. Calculate the highest common divisor of 30 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/19 + 12948*s**3\/19 - 2676702*s**2\/19 + 136203752*s\/19.\nAnswer: 2*s*(s - 101)**2*(s + 6676)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147*b**2*d - 92988532*b**2 - 1866*b*d - 14*d wrt d.\nAnswer: -147*b**2 - 1866*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 8, q: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(114)\/(2*sqrt(6)))**2*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*j = -69, -r + 33*j = 32*j - 24. Suppose 20*f = o + r*f - 154, 3*f = -4*o + 615. What is the highest common divisor of o and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 33213 (b) -0.5 (c) -0.3 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 11*i**2 + 65*i + 76. What is u(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {d: 1, r: 1, w: 9, g: 4, k: 2}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (314\/(-4))\/(-6 - 1135\/(-190))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47562*k**2 - 47562*k**2 + 3395*k**3.\nAnswer: 3395*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*z - 49. Let k = -55 + 55. Suppose 2*p + 1 - 1 = k. Solve -z = -h - 3*r - p*r, 0 = 3*h - r + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -169. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 7 = -4*t, 778*t + 20 = 785*t + 6*a - 4*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-5))\/(3\/(-30)))\/((-19)\/(-76)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 41. Let j(a) = -3*a**3 - 5*a**2 + 3. Let x(w) = 2*w**3 + 3*w**2 - 2. Determine d*x(m) - 6*j(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/33 - -4)*(-7865)\/(-1430).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 136\/36 - (-6)\/27. Let n = 26 + t. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:10 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwssjswvvjwvjvv. What is prob of sequence sjvv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 7\/12 (c) 1\/6 (d) 31.492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-35)\/25)\/((-2)\/(-20)). Let i(h) = -142*h - 34. List the prime factors of i(j).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-960)*-70)\/(-7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m + 2. Let k = -100 - -997\/10. Is m less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3939164417 and -6.7?\nAnswer: 3939164423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3982, 5, -42075, 1 in decreasing order.\nAnswer: 5, 1, -3982, -42075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-24)*f**(1\/11))\/(f**(-12\/5)*f*f**(-2\/71)\/f) assuming f is positive.\nAnswer: f**(107462\/3905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - 4*u - 130. What is the units digit of p(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (178 - 179) + -2 + -10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*z + 101 - 40. What is the closest to 0.03 in -1.2, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31468254*h**3 + 296*h**2 - 4125*h wrt h?\nAnswer: -188809524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {z: 4, g: 5, b: 6, x: 3, t: 1, y: 1}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 40, 93, 168, 265?\n\"Answer: 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45541429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r**3 - 3*r**2 - 113*r + 349. What is the remainder when d(3) is divided by 75?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*x = 530 + 208 + 30 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1712 + -5?\nAnswer: -4.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + 5*y + (-2*y + y - y)*(-3 - 3 + 5) - 3*y + y + 0*y - y - 2 + 2 + (-3 + 5 + 0)*(4*y - 2*y + 0*y))*(3*y**2 - 27*y**2 - 11*y**2).\nAnswer: -175*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 20 + 68)*(-1 + 0 + 3)*(-o - 1 + 1).\nAnswer: -182*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2 - -2.8. Suppose -5*l - 2*o - 529 = 0, 6*l + 515 = l + 5*o. Let f be 6\/(-15) - (-18)\/l. Which is the biggest value? (a) m (b) f (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 53. Let x = 75 - i. Suppose -x*q + 9 + 1 = 0. Solve -2*c = q*o, -4*c - 3*o + 1 = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.97846 hours to milliseconds.\nAnswer: 21522456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Suppose 4*y + o*y - b = 3999997, y - 2*b = 999994. Suppose -7*r + y = -2*r. Round r to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151\/315 - 46\/315. What is the closest to u in 2, -4, 1, 458?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*d**2 - 2*a - 26*d**2 + 26*d wrt d.\nAnswer: 2*a - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 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: What is 172 minutes before 4:05 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 23. Let y = 71 + 19. What is the greatest common divisor of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(3 - 3 - 2)*(-25 - 30 + 23)*(0 + 0 - 2*s)*(-s**2 + 3*s**2 - 6 + 36 + s).\nAnswer: -768*s**3 - 384*s**2 - 11520*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/13)*(t*t**(-6))\/t*t*(((t\/(t**(-6)\/t))\/t)\/t)\/(((t**(-4\/11)\/t)\/t)\/t)*(t\/(t**(2\/13)\/t)*t**(-4))\/(t\/t**(-3\/2)*t**(-8)\/t) assuming t is positive.\nAnswer: t**(2425\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36\/1*(-5)\/(-15) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39935\/124 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**2 - 16*z**2 - 10 - 6 + 16 - 2 + 59*z to the form o*z + x + i*z**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*t - 320*s + 34*t wrt t?\nAnswer: s + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2948161, 63?\nAnswer: -2948161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 4, d: 8, o: 1}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*346.1618.\nAnswer: 692.3236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + 1*sqrt(468)))**2.\nAnswer: -540*sqrt(13) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -28657.\nAnswer: 43\/28657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 583992585 a multiple of 2057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -344*p**2. Let u(l) = 8*l - 256. Let s(c) = c - 16. Let k(z) = 16*s(z) - u(z). What is k(d(b))?\nAnswer: -2752*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*x + 5804 = -1420 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9664*i**3 - 53*i**2 - 105*i + 7. Is g(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - 6*p + 1. Let l be q(-6). Suppose 0 = 4*u + 8, 4*d - 5*d - 3*u = l. Suppose -1312 = -13*z + d*z. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0613 * 14.\nAnswer: 0.8582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u - 4*k, 8*u + k = 3*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33 + -24 + -15)\/((-9)\/12). Solve -p*t + 80 - 32 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -5*c + o, 195 = -5*c + 174*o - 192*o for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-24\/13)*(s**(-2\/5))**(3\/11))\/((s\/s**1)\/(s\/(s**(-5\/3)\/s*s*s))*(s\/(s\/((s\/s**(-1)*s)\/s)))**(13\/2)) assuming s is positive.\nAnswer: s**(-28504\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1601.9 and 0.68?\nAnswer: -1089.292","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/38 + -1)\/(-932 + 929) + 993\/(-228).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36773 is divided by 707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 628938228 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**4\/6 + 11*f**3\/3 + 20*f**2. What is the least common multiple of b(-4) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*m + 152*m + 23*m**3 + 125*m + 149*m - 566*m.\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320726551.\nAnswer: 3, 11, 13, 373, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, j: 5}. What is prob of picking 2 j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 c when three letters picked without replacement from ncccttt.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7967, 32131, 72487, 129035?\nAnswer: 201775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 + 18*t**3\/5 - 5757*t**2.\nAnswer: 3*t**2*(t - 95)*(t + 101)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -101, -96, -89, -80, -69?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026806 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/20)\/(4\/60). Let m be -4*p\/8 + -3. Put -6, 5, m in decreasing order.\nAnswer: 5, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 5. Is 2 a factor of (-10)\/a*(1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*u - 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 20*b**2 - 811*b - 3569. Give x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 584.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*g + 70 + 1101, -4*d - 3*g = -1179. Calculate the remainder when 299 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, q: 3, p: 4, s: 1, a: 5, n: 1}. What is prob of sequence as?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27063, -27064, -27065, -27066?\n\"Answer: -q - 27062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/40 and -47\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25*h**5 + 49*h**4 + 28*h**3 + 4*h**2 + 4*h. Let x(j) = -25*j**5 - 48*j**4 - 27*j**3 - 4*j**2 - 3*j. Let f(g) = -3*u(g) - 4*x(g). Factor f(c).\nAnswer: c**2*(c + 1)*(5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10919 + -5176. Round a to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/547526 and -37\/28?\nAnswer: 1095052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -23. Let j = f - 9. Which is bigger: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -1.4.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4362 and -53\/4?\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4902 + 2749. Let r = 10979\/10 - j. Find the common denominator of -47\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 17. Let r = p + -5. Which is the smallest value? (a) -4 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*g**2 - 142*g**2 - 280*g**2 as o*g + w*g**2 + f and give w.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 24896?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 19 + 19.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2334843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 - (26 - -57)) + (-2 - 61).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045285 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.6. Let g = -51 - -63. Let u = g + -12.5. Which is the second smallest value? (a) u (b) z (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/7)\/r**(-1\/6))**(36\/7) assuming r is positive.\nAnswer: r**(258\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12631771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*a - 65 = -41, 0 = 2*m - 4*a - 12. Let t(v) = v**3 - 5*v**2 + 4. What is t(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(304) + 2*sqrt(304) + 3 + (sqrt(304) + -1 - sqrt(304))*4))**2*4.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 10*f - 10. Suppose -3*a + 97 = 2*k, 0 = 5*a - a - 4*k - 116. Let m = -21 + a. Calculate the lowest common multiple of m and d(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 + 333 - 682 + 12*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:20 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 + 269 = 116*m + 106. Factor 2\/9*j**m + 10\/9*j - 8\/9*j**2 - 4\/9.\nAnswer: 2*(j - 2)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378429+6093265\nAnswer: 5714836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 2108, 5001, 9052, 14261, 20628?\nAnswer: 28153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 - 281*w + 310. Let i be r(34). Let u(h) be the second derivative of -3*h - 1\/3*h**i + 8\/3*h**3 - 8*h**2 + 0. Find d, given that u(d) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(220)\/(2*sqrt(180) - sqrt(5)))\/(sqrt(576)*2*6*2))**2.\nAnswer: 1\/25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7054*k = 7038*k - 240 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -33*f**2 + 100*f + 80. Let d(w) = 8*w**2 - 24*w - 20. Let t(a) = 9*d(a) + 2*u(a). Let i be t(8). Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b**3 + 2*b**3 + 2*b**3 + 6*b**3 - 21 wrt b.\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 10*f + 4. Suppose -b + 18*t - 13*t - 670 = 0, -2*t = b + 684. Let y = -670 - b. Give r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 159*s - 24. Determine l(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 14*d + 22. Let x be g(14). Let a = x + 182. Solve -a = -0*t + 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + -0.05. Let f = b - 4.9. Sort -1, f, -3 in increasing order.\nAnswer: f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45698683 divided by 1.\nAnswer: 45698683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-776)\/97\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 23307\nAnswer: 1\/7769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j**3 + 185*j**3 - 197*j**3 + 12*j to the form z*j**2 + c + x*j + m*j**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from iidimma.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 14675 = 5*m + n, -3*m = -3*n - 8775. What are the prime factors of (-1)\/4 - m\/(-40)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -20. Let o(d) = 4*d**2 + d. Let b be o(x). Let z = -8 + 23. Solve -b*v = -10*v + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 6. Suppose 60 = b*j - 2*j. Suppose -2*w = 4*h - 26, -3*w + j + 20 = 5*h. Solve -h*z = -3*q - 8, 2*q + 2*z = 3 + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/21)\/(((-1105)\/119)\/(-13)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 9, x: 1, n: 5, f: 1, d: 1}. What is prob of sequence xdnh?\nAnswer: 1\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0275793mm to micrometers.\nAnswer: 27.5793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*-12)\/(4\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 40 = -v, v + 2*z - 4020 = -4043 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 82*u**2 - 901*u - 20. What is y(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*y - 5*p, 2*p - 12 = -2*y - p. Let d = y + -3. Solve -2*a - 6 + 2 = d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*t - 1046*t + 7347 = -6933 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) -5 (c) -1661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12035485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238603343.\nAnswer: 11, 37, 313, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*2 + -1 + sqrt(1584)*2.\nAnswer: -1 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.4 (b) -1 (c) 0.1 (d) 31 (e) -0.1 (f) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -80*j + 285. Let w be r(3). Which is the third biggest value? (a) -2.4 (b) 1\/6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -31. Suppose -3*b + 75 = -q*x, b - 4*x = -12 + 52. Calculate the smallest common multiple of b and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 21721?\nAnswer: 195489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(1 + sqrt(75) + 1 + sqrt(75) + 2)*-6)**2.\nAnswer: 24120*sqrt(3) + 101689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/220 and 119\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231307 is divided by 335?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-1) - (-16 - -4). Suppose -118 = -9*d - n. Is d at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4\/56*4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*g = 2735, -2*f = -0*g - 4*g - 1118. Calculate the remainder when f is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/20 + 8*h**2 + 7. Let v(b) = 7*b**2 - 1. Suppose -7*m - m + 40 = 0. Suppose 0 = j - 2 - 0. Calculate j*v(z) + m*o(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-12))\/(-7))\/((-2)\/9)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 = 5. What is the common denominator of -21\/8 and 11\/176*(-172)\/w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -0.3. Let l = -139 + 48. Let a = l + 94. Sort 5, a, g.\nAnswer: g, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15974*k**2 - 15576*k**2 + 31500*k**2.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6711\/261338 - 1\/3394. What is the common denominator of 54\/49 and u?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13017.\nAnswer: 3, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/4 - 4*a**3\/3 - 35*a**2\/2 + 150*a - 310. Factor q(h).\nAnswer: (h - 5)**2*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(156) - sqrt(156) - 2*sqrt(156)*-1)\/(sqrt(48) + (sqrt(48) - (sqrt(48) + sqrt(96)\/sqrt(2))) + (1*sqrt(48) + sqrt(12) - sqrt(12))))**2*5.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 29*x + 22. Let a be k(-10). Solve a = -10*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8008668 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 246\/21 - 4\/(-14). Let d(j) = 5 + 7 - j**2 - y. Let g(m) = -3*m**2. Let h(i) = 16*i**2. Let o(x) = 11*g(x) + 2*h(x). What is d(o(l))?\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.2773 years in millennia?\nAnswer: 0.7222773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557938309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 36*p**2 - 39*p + 77. Let b be w(37). Let v(d) be the second derivative of -5\/12*d**4 + 2*d - 1\/2*d**2 + 0 + 1\/6*d**b. Give v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391865513 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.6 + 21.6. Let y be 4\/12 + -2 + 0. Which is the third smallest value? (a) -2 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 5*z - 3*d, 5*d - 55 = 2*z - 0*z. Let u be (3 - -1)*z\/(-28). Solve -4*q = 5*h - 2*q + u, 0 = -h + 3*q - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/252 - v**4\/8 + 26*v**2. Let d(o) be the second derivative of k(o). Let b(x) = -2*x**2. Give d(b(r)).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:44 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 629180 by -772.\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 3*u, 2*u - 49 = -3*q - 2*u. Suppose 0 = 4*h - 8, -5*z + 2*h + 0*h + 221 = 0. What is the remainder when z is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 4. Let y(a) = -3*a + 5. Give 4*b(c) + 3*y(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-6*95\/114?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -500132395*f*r**3 - 148*f - 1135911*r**2 wrt r.\nAnswer: -3000794370*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4004 - -3929. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -16, -365?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*y**4 - 3*y**2 + 0 + 0*y + 9\/2*y**3.\nAnswer: -3*y**2*(y - 2)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368839327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7\/2)\/v)\/v)**(-9\/2) assuming v is positive.\nAnswer: v**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 58253 - 124*m - 42*m**3 - 58252 + 105*m as a + v*m**2 + y*m + n*m**3 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.946 * 54337.\nAnswer: 51402.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74101\/93 or 796?\nAnswer: 796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2146493.\nAnswer: -1\/2146493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, q: 2}. Give prob of sequence qqb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 988698774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.556891 seconds to days.\nAnswer: 0.0020087603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558.3032 rounded to the nearest ten?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1086)\/9593)\/(12\/(-318))*(-188)\/(-6).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -2\/7, 4\/5, 0.\nAnswer: -249, -2\/7, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {d: 7, m: 2, r: 1, b: 1, y: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(-1*1 - (-39 - -29))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340.289 - -340. Let u = 3.501 + -3.49. Let g = w - u. Put -2\/5, 15, g, 4 in ascending order.\nAnswer: -2\/5, g, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 20 = 4*w, 0 = 5*c + 5*w - 531 + 501 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.935 + -10.52. Let w = 2.57 + -0.07. Let o = v - w. What is o rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310992, 1244407, 2800098, 4978065, 7778308?\nAnswer: 11200827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**3\/3 - 4*b**2 - 17. Let p be a(-7). Find the third derivative of -p*y**2 + 322 - 322 + 11*y**3 wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q**3 + 3*q + 14*q**3 - 5*q.\nAnswer: -23*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1321048 by 2.\nAnswer: 660524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*w. Let p = 37.3 - -14.7. Let d = p + -53.4. What is the nearest to d in w, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -539, -2\/9, 4\/3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c\/((c**(-7)*c)\/c)))\/c*c\/(c\/c**14)*(c**(2\/9)*c)**(2\/23))**27)**28 assuming c is positive.\nAnswer: c**(123564\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*l + 10866, 123*l - 21762 = -2*f + 118*l. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2381.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2 - 11598*k + 11595 = 0?\nAnswer: 1, 3865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9877 and 141847?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.350372 hours in microseconds?\nAnswer: 4861339200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 1\/2*y**2 + 102 - 5*y. Suppose 2*r + 3*z + 8 = -7, 4*r = 5*z - 19. Determine t(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 153 = -40*f + 550. Solve s - f = -5*v, -4*s = 3*v - 0*v - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*x + 12. Suppose -4*q - 5*s + 37 = -31, -2*q + 8 = -x*s. Let d = q + -10. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340284138.\nAnswer: 2, 3, 17, 617, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 23400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*u = -108, 2*f - 5*u = 49 + 14. Let j be f\/(-15) + 2\/(-5). Let w be -1 + ((-60)\/21 - -3). Is j greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20203 * -741\nAnswer: -14970423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**3\/3 - 6*l + 781. Let d be (-10)\/8*-2*2. Let p(s) = -1. Determine d*p(r) - z(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 25. Let w be (-3 - (-9)\/6)\/(36\/16). What is the nearest to 0.1 in -1\/7, g, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11422 + 0.117. Let l = 0.005 - k. Round l to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1513 + -2433. Let j = 920.869 + s. Let v = j + -0.96. What is v rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580767 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 10*k**2 + 395*k**3 - 5*k**2.\nAnswer: 395*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.67 + -52. Let c = a - -0.63. What is the closest to -1 in 5, c, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 1130*y**2\/3 - 21676*y - 98880.\nAnswer: 2*(y - 618)*(y + 5)*(y + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1897982.99 to the nearest 1000.\nAnswer: 1898000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*s + 270447 = -9*j, 4 = 4*s. What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + (30 - 66) + -32.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -6, 0.455 in increasing order.\nAnswer: -6, 0, 0.455, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -1*(-2 + 2). Let g(l) = l**3 - 3*l**3 + 3*l**3 - i. Let y be g(0). Which is the nearest to 1? (a) 1\/3 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 + 7*z**2 + 5*z. Let r(p) = 5*p**3 - 4*p**2 - 3*p. Calculate 6*o(g) + 10*r(g).\nAnswer: -4*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(7\/(-21)). Suppose -4*d + 0*d = 20, -3*x + 29 = i*d. What is the remainder when 51 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1115792163 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 29, 45, 61?\n\"Answer: 16*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 0 - -11 - (-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 + 846657*f**2\/2 + 29866778136*f - 149344474080.\nAnswer: 3*(f - 5)*(f + 141112)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100254135 (base 6) to base 11.\nAnswer: a63192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (18 - (10 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-65))\/(37\/(-25) - -1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-193 + 202 - (1 + -6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from typtnvcc. What is prob of sequence ncvy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8\/5 (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2301779957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 655.\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1891 (base 16) in base 10?\nAnswer: -6289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 246*y**3 - 12. Let u(w) = 33947*w**3 - 1660. Give -415*h(s) + 3*u(s).\nAnswer: -249*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(1\/6))\/v**4)\/(v*v**(-1)*v**(-1))*(((v*v\/v**(2\/5)*v*v)\/v)\/v)**50*v**(4\/5)*v**4 assuming v is positive.\nAnswer: v**(2509\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4110 and 18358.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 343*p + 98. Let y(q) = -8*q + 2. Give -v(h) + 49*y(h).\nAnswer: -735*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216724 is divided by 9848.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252690 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/4)*y**(-9)*(y\/y**1)**(-4\/3))**34 assuming y is positive.\nAnswer: y**(-561\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 not equal to 600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-732)\/40992)\/((-1)\/(-8))*-1*11\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 249 + -53. Suppose 21 + 3 = s - 4*l, -4*l = 4*s - d. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/120 - 23*j**5\/60 - 77*j**4\/24 - 4*j**3 - 244*j**2. Let t be z(-19). Sort -65, t, 5 in increasing order.\nAnswer: -65, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0733 and -118.\nAnswer: 8.6494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10758 + 13009. Is n a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 0.09 (c) -12\/7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x**2 + 12*x - 18. Let z(k) be the first derivative of 9*k - 5\/3*k**3 - 3*k**2 - 1. Let l(o) = -6*q(o) - 13*z(o). Factor l(i).\nAnswer: -(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16562, 33131, 49704, 66281, 82862?\nAnswer: 99447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*((-864)\/9)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1071 and 765.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4.5. What is the smallest value in -0.14, v, -0.3, -4\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(245))**2 + sqrt(245).\nAnswer: 7*sqrt(5) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 - 8*y - 11. Let t be m(9). Suppose -27 + 5 = -2*n - 4*w, 3*n - w - 26 = 0. What are the prime factors of (t - (-33)\/n)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + 0.9. Let v = -11 + 1. Let m = 9 + v. Which is the closest to -1? (a) l (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 54 + 3. Calculate the lowest common multiple of 3 and y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + i - 1. Let d(v) = -6*v**2 - v + 1. Give d(m) + f(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -40488?\nAnswer: -40511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8125, 16272, 24451, 32668, 40929, 49240, 57607?\n\"Answer: k**3 + 10*k**2 + 8110*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51883212 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241 + -261. Let a be s\/(-25)*(-15)\/(-6). Solve -5*v = -3*v + 5*c - a, -2*v - 14 = -3*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240630 times -0.7\nAnswer: -168441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbll when four letters picked without replacement from {b: 7, l: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueeibibuubiie. Give prob of sequence eib.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011933 rounded to 7 dps?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.777 - 0.275. Let p = j - -0.052. What is the nearest to -1 in p, -0.4, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21973629 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 1555. Let o(z) be the first derivative of z**3\/3 - 420. What is p(o(r))?\nAnswer: 3*r**2 + 1555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 + 19 + 5 - 1 is divided by (-3 - 22)*(-2)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 17. Let q be s(5). Find the common denominator of 1\/7 and ((-15618)\/(-171))\/(-1*(-8)\/q).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 28824?\nAnswer: 432360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-3 + 4))*(-3 - -2). Is -1\/43 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 22*v + 19. Let t be d(21). Which is the nearest to t? (a) 4 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 33. Solve -2*a = s - f*s + 9, -5*a + 3*s = 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r - 3*i, 0 = 4*r - i - 11. Solve -n + 10 - 23 = -4*g, r*g + n = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14027112579013 from -3.\nAnswer: 14027112579010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130415.\nAnswer: 5, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 16159 - 1466 = 0. Let g = o + 708. Solve g*t = 3 - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**2 - 9679680*i + 9679675 = 0?\nAnswer: 1, 1935935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 2*d + 1. Let m be u(-2). Let o(w) = 3*w + 1. Let j(n) = n**3 - 10*n**2 + 6*n + 1. Calculate the remainder when j(10) is divided by o(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 16.44?\nAnswer: -17.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 + -190. Let s be (-9)\/21 + -3*2\/d. Solve -2*z = 2 - s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, z: 3}. Give prob of picking 1 z and 3 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524502 divided by -3?\nAnswer: -174834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -638519 and -0.0558898.\nAnswer: -638519.0558898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40648585567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -516.308 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116598 or 116596?\nAnswer: 116596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27272 = i + 2*r, -307668 = -15*i - 5*r + 101287. What are the prime factors of i?\nAnswer: 2, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 74.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -677962686332 + -6\nAnswer: -677962686338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 3*f**2 - 4*f - 10*f + 33*f**2.\nAnswer: 30*f**2 - 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 106760716.\nAnswer: 320282148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o - 3*l = -588, 0 = -5*o + 2*l + 945. Let y = o - 180. Solve 7 = -r + 2*x, 4*x - y = r + 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101232 + -11?\nAnswer: -101303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.14 (b) -1\/8 (c) -2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 806 = 4*r + 446, 0 = 3*r - 4*w - 292. What is the smallest value in 12\/7, -2, 4\/5, r, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51254601 rounded to 3 decimal places?\nAnswer: -0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, 1, 4 in ascending order.\nAnswer: 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 530 + 2?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126.7347 + 75.7376. Let z = 51 + c. Round z to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 11*n**2\/2 - 25*n\/2 + 13\/2.\nAnswer: (n - 1)**2*(n + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -21. Let n(l) = 10*l - 9. What is the remainder when n(k) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66024 and -518.5.\nAnswer: -34233444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + ((sqrt(14)\/sqrt(2))**2 - sqrt(7) - sqrt(7)) + -1 + ((sqrt(63) - (sqrt(63)*2 + sqrt(63)))**2 - sqrt(7)) + -1)*1*6.\nAnswer: -1548 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 717*u**5\/4 - 1085*u**4\/2 + 3745*u. What is the third derivative of j(y) wrt y?\nAnswer: 21510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56916, 56911, 56920, 56943, 56980, 57031?\nAnswer: 57096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:48 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*v - 3. Let b be -3*(1 - v)*(-30)\/24. What is the highest common divisor of b and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 850 and 2001512?\nAnswer: 2000662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 0. Let k(b) = b + 5*b + x*b - 3*b. Let o(t) = -t. Give o(k(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10354317.06 + 10353404.621323. Let a = 906.4387 + u. Let j = -6 - a. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -170, -218, -240, -230, -182?\n\"Answer: j**3 + 4*j**2 - 87*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95538757 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let x = -7.8 - -2.8. Which is the nearest to 1\/2? (a) -0.1 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1164.4 + -1164.39997651. Round r to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/24*5\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8532638 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*f**3\/6 + 19*f**2\/6 - 4*f\/3 - 2\/3 = 0. What is f?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24388299 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = u + 1 + 1, -4*u + 4*s = 8. Let r be (-6)\/5*(-40)\/12. Put r, u, 5 in decreasing order.\nAnswer: 5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5400074 to the nearest integer?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (12 - 0\/2) + -2 + 0 and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1375.6 + 1376. What is the third biggest value in 2, -1\/6, 8, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 104 = -q - m, -5*q = -m - 520. What is the smallest common multiple of q and 20?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from eyzzcezz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/120 - (-39)\/(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22335990 divided by -30.\nAnswer: 744533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001037702 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 7*i**2 - i - 9. Let d be k(-7). Let s be (236*6\/36)\/(d\/(-3)). Suppose -s = -6*w - 5. Which is greater: 8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -67545, -2 in descending order.\nAnswer: -2, -7\/3, -67545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4801592 millennia?\nAnswer: 4.801592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.47112ug to tonnes.\nAnswer: 0.00000000008047112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 3:49 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*t = -198, 3*o - 3*t + 79 = 5*o. What is the remainder when 140 is divided by o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 30. Let x(o) = o - 6. Determine 2*m(t) - 11*x(t).\nAnswer: t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(7920)*1 - sqrt(7920))\/((sqrt(4400) - (-2*sqrt(4400) - sqrt(4400)))\/sqrt(4)) + -3)*3*-1.\nAnswer: 18*sqrt(5)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -16*f**2 + 5*f + 2. Let j(k) = -32*k**2 + 11*k + 4. Give 2*j(c) - 5*m(c).\nAnswer: 16*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 5:23 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = m - 1. Let a = m - -3. Suppose -3*g - 14 = -8. Put -1, a, g in ascending order.\nAnswer: a, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104180 and 5.\nAnswer: 104180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9016804 = -4*w, 3*z + 11270997 = 38*w - 43*w. What is w rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 11*a + 2. Let s be t(-11). Suppose 6 = m + s*m. Solve -2 = -h - h + m*y, 2*h - 5*y = 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i\/i**(-3\/2))))\/(i\/(i*i\/i**(-1)*i)))\/((i**7*i)\/(i\/(i*i*i\/(i*i*i**(-6)\/i*i))*i))*(i**(-1))**(-3\/4)\/((i*i**5)\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(-503\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8805\/8 - -1098. Let x = -391\/152 - a. Put x, -0.1, -0.4 in decreasing order.\nAnswer: x, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21266083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 7, 5, 4.\nAnswer: 4, 5, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3674524 years in centuries?\nAnswer: 0.003674524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 867*y - 872*y + 27 = 0, 5*v - 5*y + 25 = 0. What is z in -8\/7 + 64\/7*z - 16\/7*z**3 + 32\/7*z**4 - 18*z**v = 0?\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2230912*s + 4*s**3 - 3*s**3 + 2230915*s - 2 - 5*s**2. Suppose 4*b + b = -5. Let j be 3*b*(-8)\/6. Determine w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose 5*k - k = u. Solve k*d - 2 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4615 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 35*t**2 + 102*t. Determine o(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*4\/40)\/(1\/(-94)). Let s = -44 - k. Solve -4*f + 17 = -s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -3. Let i = q + -14. Which is the third smallest value? (a) i (b) -0.3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j - 7\/2*j**2 - 169. Let w(h) = -31*h**2. What is u(w(m))?\nAnswer: 217*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5*v - u**2*v*x + 20*u**2*x + 12*u*v*x - u + 3*v*x - 5*x wrt u?\nAnswer: 20*u**3*v - 2*v*x + 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 0*y - 30 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 + 0*x**2 - x - 3*x**2 - 4*x**3 + 5*x**3 in the form b*x**3 + s*x + h + v*x**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995911.\nAnswer: 7, 17, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -253, -449, -645?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.074531 years?\nAnswer: 0.894372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 183 (c) -1\/4 (d) 0.07 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -25.4.\nAnswer: 10.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f + 34. Let t be b(0). Solve 0 = -t*y + 7 - 41 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 231153523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:31 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10 and 87\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177056 is divided by 83.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 + 33 - 32*v**5 - 68 + (-3 - 1 + 2)*(-3*v**5 - 2*v**5 + 3*v**5).\nAnswer: -28*v**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27125988 to the power of 1\/2, to the nearest integer?\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -39, -921, 1, 0.8?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1070 + f - 35*f**2 - 1070 + (-f + 3*f - 4*f)*(17 - 17 - 5*f).\nAnswer: -25*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1602, 0.71 in decreasing order.\nAnswer: 1602, 0.71, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 21*j**2 + 2*j - 7*j**2 in the form d*j**2 + h + r*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a + 9184 = 27*a. Calculate the least common multiple of a and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4347*r = 801*r - 262404 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 735 = -27*n. Suppose -a + 2*v + n = 0, a + 78 = 4*a + 3*v. Solve -a*z - 10 = -24*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 7*m. Let i be t(-7). Let r(a) = a**3 + 2*a**2 - 2*a + i*a + 0*a**2. Does 2 divide r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/13058, 0.5, -1\/3?\nAnswer: 1\/13058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6412, -7574, -8736, -9898?\n\"Answer: -1162*q - 5250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -165, -147, -105, -27, 99, 285, 543, 885?\n\"Answer: 2*z**3 + 4*z - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 117 = -123. Suppose -a - w*f - 19 = -2*a, 0 = -a - 2*f + 19. Suppose 49 = 2*t - t. Calculate the remainder when t is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8100 and -833.80305?\nAnswer: 7266.19695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(40\/(-200)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -158*k**3 + 2*k**2 + 6*k - 20. Let l(j) = 2*j**3 - j + 3. Give -d(p) - 6*l(p).\nAnswer: 146*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33683700 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 33*c**2 - 6*c - 28*c**2. Let i(l) = -l. Determine -5*i(a) + z(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3577 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 16842005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3672, -7106, -10540, -13974?\n\"Answer: -3434*y - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275838 is divided by 18299?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 18*w**2 + 18*w + 16. What is p(19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = 0, -y - 2*y + 2*s + 722 = 0. Let j = 65 - 43. What is the greatest common divisor of j and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304481053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 31. Is -9 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 6. Let u be p(5). Suppose -i + 4*o - 16 = 0, -2*o + 4 = -u. Solve -5 = -i*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126412081.\nAnswer: 126412081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/6 + 82*v**3\/9 + 368*v**2\/3 + 1160*v\/3 - 7052. Let c(q) = 0. What is q?\nAnswer: -29, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -215.6 (c) -4 (d) 1\/3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9 + 14 + 8*u + 0 + 18. Let f be p(-5). Suppose -5*o = 3*s - f - 883, 2*o - 588 = -2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:20 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 + -250.0000479. What is a rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4886)\/(-1396)*(-74)\/(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16082 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.2, -10, -63, 380 in ascending order.\nAnswer: -63, -10, 0.2, 2\/5, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7324964 and 4?\nAnswer: 29299856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -43. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goxx. Give prob of sequence ox.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-4*r - 3 + 2*r - 5) - 7*r - 2 - 3*r + 4*r.\nAnswer: -8*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 4*z = -4*o - 78, 2*o - 3*z - 51 = 0. Solve -34*w - 4*t = -o*w - 20, 0 = 3*w - 3*t + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2196 and -29\/5856.\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 1 - 2 + 4*u - 2*u. Let m be g(1). Suppose 5*x = -4*v, 3*x = -2*v + 4*v + 22. Solve m = w - 0 + x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13214 or -13216?\nAnswer: -13214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(4\/5))**(7\/2))**(2\/3) assuming f is positive.\nAnswer: f**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 23 = -j, -3*j = -8*k + 3*k + 107. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -4, 0, 4, 8, 12?\n\"Answer: 4*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x**2 + 0*x + 2\/3*x**3 + 3. Let u(g) = -g + 0*g + 4*g. What is u(a(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160\/9457 or 1?\nAnswer: 160\/9457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 11*n - 27*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(4400))*-3 + -1 + ((sqrt(4400) + 0 + sqrt(4400))**2 - sqrt(4400)).\nAnswer: -80*sqrt(11) + 17596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 1, i: 1, y: 4, n: 2}. What is prob of sequence nnii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 955648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -20*g - 48. Let j = 1 + 2. What is the remainder when 54 is divided by (-9)\/g*28\/j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 17 - (-1 - (28 - (-11 + 3))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - 5222?\nAnswer: -51a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-12))\/(2\/30). Suppose -3*z - 191 = -q*f, -z = 3*f - 62 - 61. Let t = f - -10. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47730000 to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -3 (b) 5 (c) 0.5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:01 AM?\nAnswer: 87","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -43420 - -43424. Let g(x) = -9*x**3 - 2*x**2 + 4. Let a(s) be the second derivative of -17*s**5\/20 - s**4\/3 + 7*s**2\/2 - 2*s. Determine o*a(d) - 7*g(d).\nAnswer: -5*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1614788 by 2284.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 3\/7*i**7 + 0*i**3 + 0*i**6 + 2*i**4 + 10*i + 0 + 0*i**2 + 0*i**5. What is the third derivative of s(v) wrt v?\nAnswer: 1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 + 30*c + 96. Let z(y) = -7*y**2 - 31*y - 99. Let b(l) = 4*a(l) + 3*z(l). Determine b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18235 and 63.\nAnswer: 164115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 175*h - 23. Is 7 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005568 to seven dps.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71814 is divided by 1086?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 11248.\nAnswer: 22496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + 3. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w + 395 - 318 = -463 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2179083*q**2 - 2 + 4071159*q**2 + 3 - 550243*q**2. Let m = 0 + -1. Let j be u(m). What is j rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/((o\/o**(-35)*o)\/o))*o*o**(5\/9)*o assuming o is positive.\nAnswer: o**(347\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4*(-9)\/(-30))\/(6\/30). Let w be 0 - 0\/(-2 - q). Suppose -6*u + 248 + 238 = w. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.68706 - -0.68706. Let b = -5.1 + 1.1. What is the nearest to n in b, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m + 7. Suppose 12 = -3*i, 5*i + 4 = c + 4*i. What is o(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 + 63 + 65 + 71*i - 183 + 6*i**2 to the form h + w*i**2 + j*i and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -21, -56, -113, -198, -317, -476, -681?\n\"Answer: -q**3 - 2*q**2 - 6*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162475 and 39425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (4 + 0)) + (196 - 165).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 625166932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.4? (a) 26 (b) 139 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:59 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m. Suppose -2*a - a = m. Let b be (a\/(0 - 2))\/1. Sort 0.1, -1\/5, b in descending order.\nAnswer: 0.1, b, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y = 70*y - 90. Suppose 5*l - 10 = -w, -y*w + 15*w + 4*l + 11 = 0. What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2186.\nAnswer: -7\/2186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 39*t**2 - 48*t + 84.\nAnswer: 3*(t - 14)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 4f?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s + 3. Let p be k(3). Let w = 3 - 5. Let c = w - -2. Is c at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-968)\/22)\/(-44)*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*z + 2. Let y = z - -1. Differentiate -y + w**4 + 7*w - 7*w with respect to w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/2 and -79\/278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -267\/7, 4, 2.9, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.8 - -6.7. Let t = c + -0.3. Let q = 9 + -8.5. Put t, -1\/6, q in ascending order.\nAnswer: -1\/6, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 0.4 (c) 218 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 498056290.\nAnswer: 5478619190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486 a factor of 16528522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (1 - (-5)\/(-7)). Let w = 0.971 - -3.029. Sort 0, g, -9, w.\nAnswer: -9, 0, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 4375*d. Let b(w) = -2*w. Determine o(b(i)).\nAnswer: -8*i**2 + 8750*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 11 = -4*b, -4*b = -4*i - 3*b + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 12510.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12577, -3352, -46591, -130796, -269623, -476728, -765767?\n\"Answer: -2276*p**3 + p**2 + 14852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1689908 and -12.\nAnswer: -20278896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 51*t**2 - 30*t + 11. Let p(z) = 3*z**3 - 52*z**2 - 30*z + 14. Let b(v) = 4*p(v) - 5*y(v). What is the second derivative of b(d) wrt d?\nAnswer: 12*d + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 7) in base 8?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 3 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 2, -26, -56, -82, -98, -98?\n\"Answer: a**3 - 10*a**2 + 3*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2415 - 2414. Which is greater: q or 5\/1193?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2847 = -4521. Let p = 1462 - d. Let y = -12907\/13 - p. Find the common denominator of 25\/7 and y.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -113. Does h = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-50))\/(5\/50)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.74 plus -2189264934715?\nAnswer: -2189264934716.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3992 and 41\/48.\nAnswer: 23952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.671 and 0.055.\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/37, -1, -4?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-6)\/20)\/(0 + -6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 2*a - 4. Suppose -6*j - 5 = -j + 4*y, -25 = 5*y. Suppose -576 = -w - j*w. What is the remainder when w is divided by m(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1254077, 2508152, 3762227, 5016302?\nAnswer: 6270377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7414 times 0.37\nAnswer: 2743.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 14*o**2 + 13*o - 29. Suppose 0 = x + 2*f - 2 - 2, f + 52 = 4*x. What are the prime factors of n(x)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 212\/(-2)*(-1)\/1. Suppose 3*i - t = 5*i - 5*a, a - 194 = 4*i. Let g = -23 - i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17741, -35180, -52327, -69182, -85745?\n\"Answer: 146*r**2 - 17877*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125170 and 2126.\nAnswer: 133055710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:07 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161988 - -161991. Let -4\/7*j**2 - 4\/7*j**u + 0 + 0*j = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*v - 82609 + 87031 for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2565 and 9291.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1192)\/8940)\/(259\/(-21))\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 30. Let n(z) = -3*z**2 - 29. Let r be 9*(8\/(-18) - 55\/(-495)). Give r*n(v) + 2*w(v).\nAnswer: v**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98080 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*75\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 6*i - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4 - (-1 + -1 + 21). Let p = u + 6. What is the second biggest value in p, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-3) - (-3)\/3. What is the nearest to i in 2\/9, 2\/3, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 134\/(3 - 1). Let q = y + -43. Calculate the lowest common multiple of q and (18\/7)\/((-3)\/(-14)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14441*h**2 - 2*h - 1. Let w(r) = r. Determine w(u(j)).\nAnswer: 14441*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-45)\/(-120)*2\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -19. Solve -8*p + l*p = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n + 14. What is r(5)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14030*k**4 + 143191 wrt k.\nAnswer: -56120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 + -12 - (3 + 3) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -210\/50821 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 164168496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/140 - 53*n**4\/56 - 55*n**3\/7 - 2616*n**2. Let b(m) = 0. Calculate m.\nAnswer: -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 17*a**2 - 15*a + 9. Let r be b(17). Let g = -210 - r. What is the highest common factor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3*y + 5. Let r be 2 + 2 - (0 - 1). What is the remainder when w(r) is divided by -6*((-27)\/(-45))\/((-2)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -83. Let y be v\/6*(-21)\/7. Let h = y - -56. What is the highest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(180))*3 - (2*sqrt(180)*4)**2) + 3 + (sqrt(180) + 1)**2 + -2.\nAnswer: -11338 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 461528*s + 26626011848.\nAnswer: 2*(s + 115382)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176.95457 + 0.061?\nAnswer: 2177.01557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 12. Let c be p(-6). Let o(y) = 19*y - 3. Let k be o(c). Suppose -2*n + k = n. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.551154 and 151.\nAnswer: 151.551154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2445376 and 2\/2011?\nAnswer: 2445376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(2 + 4*t**2 - 1 - 2*t**2 - 3*t**2 + 5*t**2 - 4*t**2 + (3*t - 3*t + t**2)*(3 - 4 + 0) - 4*t + 4*t - t**2).\nAnswer: 4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, x: 4, f: 3, c: 1, j: 8}. What is prob of picking 1 c and 1 j?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g - 21. Let u be i(5). Suppose -u*k = -34*k + 1940. What are the prime factors of k?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from baaaaaaalwaaaaafas?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288793.\nAnswer: 107, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*10*8)\/((-2)\/(-215)). Round c to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/34518 and -34\/87094667?\nAnswer: 522568002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3320 - 1654. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*g - 12, 24 = -2*g + 3*p + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4\/(-4) + (1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2756.5, -11\/2, 13\/18.\nAnswer: -11\/2, -3, 13\/18, 2756.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h**2. Let m(l) be the second derivative of -l**5\/60 - 9*l**2\/2 + 8*l. Let j(v) be the first derivative of m(v). What is j(a(f))?\nAnswer: -81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/77 - -239\/1309. What is the second biggest value in o, -0.2, -204?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21991 in 0.1, -0.04, 0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59771385 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50211 is divided by 8875.\nAnswer: 5836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 32, 47, 66, 89, 116, 147?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {q: 2, g: 3, d: 2, l: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 4.4. Let u = 0.14539396 - 4.14539426. Let p = u - i. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, u: 7}. What is prob of picking 2 u and 1 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/12))**(3\/11)*c**(-2\/9)*c**(-3))**(-1\/93) assuming c is positive.\nAnswer: c**(1159\/36828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17517, 70490, 158793, 282426, 441389, 635682?\nAnswer: 865305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 14, -1\/2, -589, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 886, 3257, 6586, 10363, 14078, 17221, 19282, 19751?\n\"Answer: -85*h**3 + 989*h**2 - h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 472590560.5466 + -472535690. Let l = z + -54921.5465963. Let u = l + 51. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 94*k**2 - 295*k + 4. What is p(3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Suppose 0 = -4*g + 4*c, 4*g + 3*c = l*c. Solve 4*s = -4*q - 12, -16 = -g*s + 2*s - 3*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -554*w - 4239. Let g be p(-8). Solve 45*f + 13 = g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vywcyqqvccccvqc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Let z be 2\/g - 64\/10. Let v be (-1)\/2*z\/(-15). Which is smaller: -2\/5 or v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298340953 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354959677 - -1.\nAnswer: 354959678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 4*b - 31856 = 0. List the prime factors of b.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2801*h**2\/3 + 14932*h - 320\/3 = 0 for h.\nAnswer: -16, 20\/2801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*z + 2 - 6 = 0, -5*t - 4*z + 28 = 0. Let x be t*1\/(-34) + 2\/17. Let f(a) be the second derivative of -a**3\/6 - 5*a**2 - a. What is f(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j**3 - 41*j**3 + 20594*j**2 - 20594*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124056673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 22884*y - 4000887.\nAnswer: 3*(y - 171)*(y + 7799)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87154*v**2 - 171468*v?\nAnswer: -174308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 11*a + 10. Let h be n(-10). Solve h = -13*i - 0*i + 39 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3599 + 3598.91. Put c, 5, 12 in increasing order.\nAnswer: c, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2025\/756)\/75*(-14)\/21*-2?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4809 and 0.13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937260?\nAnswer: 2, 5, 17, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4098, 4, 3 in descending order.\nAnswer: 4, 3, -4098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29334 plus 0.0385?\nAnswer: 29334.0385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11103751?\nAnswer: 761, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*l + 4 = 0, -5*i - 3*l - 6 = -37. Suppose 15 = -i*w + 11*w. Let d = -1 + 2. Solve w*k + d = -24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 3*h - 4*h)*(14 - 14 + 33) + (-2*h + h + 0*h)*(-2 - 1 + 1) to the form o + c*h and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 + 15468*n**4 - 21005721*n**3 + 2715125700*n**2 - 2694135444*n = 0. What is n?\nAnswer: 0, 1, 143, 2506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 + 3*h**2 + 18*h + 1. Let c(m) = -5*m**3 + 4*m**2 + 19*m + 1. Calculate -2*c(j) + 3*i(j).\nAnswer: j**3 + j**2 + 16*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 28*q**2 - 6*q**2)*(-2*q**3 + 0 + 0).\nAnswer: -48*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 51 = -8*o. Let f = -186 - -201. Let r = o + f. Which is the third smallest value? (a) 2\/11 (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1046407517*y**2 - 975946068*y wrt y?\nAnswer: 2092815034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 4*y**3 + 2*y**2 + 4*y**2 - 7*y.\nAnswer: 4*y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 758 - 753. Suppose r*a + 4801 = 3*n + 3*a, 5*a = 3*n - 4807. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -7*b + 2*b - 29, -b - 5*s - 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 28 - 32 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*n - 15, 0 = u - n - 0*n - 3. Solve -u*l + 5 - 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t - 0*c + 4*c, 2*t - 5*c = 5. Suppose -3*g - 4 = -t*g. Solve 0 = 5*f + 3 + g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649*h + 656*h = 10276. Let o = 3298 - h. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -858*(17945\/(-582))\/(-185)?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - 3 - (5758 - 5752)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -11*s + 8. Suppose -w - d = s, -4*w + 3*d + 13 = -10. Solve -4*i - 22 = -w*h, -i - 13 = -h - 2*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87549 and 21252?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 643.188 milliseconds?\nAnswer: 643188000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 24. Let i be d(7). Let p(t) = t**3 - 7*t**2 + 8*t - 7. Let o = -5 + 11. Let z be p(o). Calculate the highest common divisor of i and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311127161 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -140*p - 4358. What is k(-27)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39463 + 31629 + 0*u**2 + 0*u**2 + 3*u**2 - 71092.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 503539?\nAnswer: -4\/503539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 2640 = -22*x. Calculate the greatest common factor of x and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22550138?\nAnswer: 2, 13, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxjkxtxkj. What is prob of picking 1 t and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 15 = d. Is (-4144)\/(-6) - 5\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y**3 + 10*y**2 - 20*y - 15. Let h(k) = -k**4 - 16*k**3 - 10*k**2 + 20*k + 15. Suppose -22 + 18 = -o. Let p(i) = o*u(i) + 5*h(i). Factor p(z).\nAnswer: -5*(z - 1)*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*i + 8 = -22, 5*v + 5*i = 30. What is the greatest common factor of 153 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {u: 2, i: 1, b: 1, x: 1, p: 1, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 4682*x**2 - 36*x**3 - 4680*x**2 + 20 - 25 + 9362*x**2.\nAnswer: -36*x**3 - 4*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058 is divided by 1991?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9073, -9072, -9071, -9070, -9069, -9068?\nAnswer: -9067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 627 + -730. Let t = 102.548 + h. Round t to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a + 34 + 76 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-8)\/(-4)*3\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -783990, -781129, -776360, -769683, -761098, -750605, -738204?\n\"Answer: 954*t**2 - t - 784943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 9*c + 52. Let x be r(-13). Solve -5*o + 6 = -0*k - 3*k, x = 2*k - 5*o + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280.2 - -280. What is the nearest to -0.2 in -1, 0.5, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 2*y + 5. Let z be g(3). What is the highest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -39*r + 38. Suppose 61 = 70*y + 6*y - 15. Determine j(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppppppppppgppppp?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-2 + 2)) + (16 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 + 7*c - 1. What is the common denominator of w(3) and -93\/136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/38)*25364\/14174.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-910)\/(-15)*-57. Suppose -7*t = -12*t + i. Suppose -5*a + t = -573. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -49*s**2 - 5*s. Let b = 1546 + -1557. Let x(y) = 10*y**2 + y. Calculate b*x(w) - 2*q(w).\nAnswer: -12*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91924957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16750)\/18 + (-324)\/729)\/(-1). Calculate the highest common divisor of z and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1244, -2492, -3760, -5048, -6356, -7684, -9032?\n\"Answer: -10*k**2 - 1218*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*m - 1323*m + 631*m.\nAnswer: 79*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0 = 4*u - 4, -4*u - 20 = -2*b. Suppose -b*d = -5*d + 34. Let q = -18 + d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15406731 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and -53\/2208262?\nAnswer: 8833048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393125 by -5.\nAnswer: -78625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133269 and 5115.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 640, 529, 306, -59, -596, -1335, -2306?\n\"Answer: -5*a**3 - 26*a**2 + 2*a + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32522045 and 53725?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*q - 5*o, 0 = 5*q + 2*o - 135 - 22. Suppose -4*n = -4*d - 1816, -3*d = 3*n - q - 1337. What are the prime factors of n?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12ec + 41af?\nAnswer: 549b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13737*k**5 - 578*k - 17 wrt k.\nAnswer: -274740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let k(g) = -18*g + 8. Determine q(k(o)).\nAnswer: 36*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.119, 3, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 5*q**2 + 8*q**2 + q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s**2 - 2*s = 0 for s.\nAnswer: 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4673*a - 1073*a**2 - 3102*a**2 - 2335*a - 2338*a in the form l*a + v*a**2 + u and give v.\nAnswer: -4175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.8347 to 1 dp.\nAnswer: 102.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**14\/f**14*(f*f*f\/(f*f\/(f*f\/(f\/f**(-1\/9)))*f*f))\/(f*(f**(1\/5)*f*f)\/f) assuming f is positive.\nAnswer: f**(-104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 129. Which is the closest to -1? (a) 0.3 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2549.83 to the nearest ten.\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-28)*4\/6. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**3 - 43 + 67 - 24 - 3*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3650 and 28105.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 510768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5550029*1.09\nAnswer: 6049531.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2893.626l in millilitres?\nAnswer: 2893626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-364) - 2\/13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/96 and -53\/1596?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from mphmhxpmhpbbmhmxm?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a)**(-1\/26)\/(((a*a*a*a**(2\/3))\/a)\/(a\/(a**(1\/4)*a))))**(2\/31) assuming a is positive.\nAnswer: a**(-449\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1163007 - ((4 + -11 - -14) + 0). What is c rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) - (sqrt(99) - -2*sqrt(99))))**2 + 1*(sqrt(44)\/sqrt(4) + -1).\nAnswer: sqrt(11) + 3563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -81.1664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 4 + (0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(9\/(-48)). Let o(u) = -u**2 + 9*u + 2. Let t be o(k). Solve 0 = -m + t - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48252 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**4\/7 + 95337*o**3\/7 + 381117*o**2 + 3334149*o + 9334794 = 0?\nAnswer: -31751, -14, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 84581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 + z**2 + 2*z - 9. Suppose 0 = -2*f - 4*h + 18, 2*f - 200 + 197 = h. Let k(s) = 2*s**3 + s**2 + 2*s - 9. Calculate f*l(g) - 4*k(g).\nAnswer: g**3 - g**2 - 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by -112094?\nAnswer: 411\/112094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 + 1225388*v**3 - 2*v**2 - 1225388*v = 0. What is v?\nAnswer: -612694, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176371 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231 + 332. Is 102 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from jqqqjjqsssqj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3067 + -3062. Let y(x) = -2*x**2 + 7 + 2*x**3 - x**3 - 3*x**2. What is y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k - 21. Let q be k\/((-14)\/(-640))*-2. Suppose 0 = 3*o + 4*b - q, 3*o - 3*b - 1115 = -2*o. Round o to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 - 10*v**3 - 24*v**2 - 22*v - 7 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -359*w + 2*w**3 - 455*w - 48*w**2 - 448 + 316*w.\nAnswer: 2*(w - 32)*(w + 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227648339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -455*a**3 + 10*a**2 + 50*a - 471*a**3 - 461*a**3 - 1 + 1389*a**3 as u*a**3 + v + r*a + i*a**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 6. Let z be g(-6). Let y be 1 + (z - (-3)\/(-5)). Let o = -245 + 244. What is the closest to o in y, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69564 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.132 and -0.30587.\nAnswer: -0.43787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6061063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.86 - 1.08. Let w = -0.06 + z. Let g be (-4)\/14 - (-20)\/21. What is the closest to w in g, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758852*q - 17 - 9 + 38 - 12.\nAnswer: -758852*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/3 - 29*q**4\/12 - 6*q**3 - 3*q**2 - 2*q - 164. Determine d so that b(d) = 0.\nAnswer: -2, -9\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 bigger than 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*h - 2 = -4*h, -5*s = 4*h + 4. Let c(i) = -7*i**3 + i**2 - 10. Let y(r) = -r**2 + 3 + 6*r**3 + 3 + 3. Let l(v) = 5*c(v) + 6*y(v). What is l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2032211133120?\nAnswer: -2032211133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m - 519 = -100*m - 1692 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -433a?\nAnswer: 4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51343, 51344, 51345?\nAnswer: 51346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 29*w - 9. Let n be y(-8). Let p be (0 - -3) + (n - -6). Calculate the remainder when (6\/(-4))\/(932\/p - -4) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 12*s - 9. Let x be y(13). Solve -13 = x*n - 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -29. Sort s, 0.2, -0.5 in descending order.\nAnswer: s, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1796779 to four dps.\nAnswer: -0.1797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 292e0 + -3?\nAnswer: 292dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 67633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -166732 * 0.5\nAnswer: -83366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 7*b - 6*b - 2, 5*b = -4*r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -19*i + 53. Find the second derivative of -9*v**i - 2089 - 65*v + 2089 - 44*v**4 wrt v.\nAnswer: -636*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 7*r + 6. Let m be h(7). Differentiate 2 - m + 6*o**4 + 9 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/4, 2\/1755?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28600 divided by 130.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3417452?\nAnswer: 2, 854363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2827 - -3587. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*f - b, -169*f = -165*f - 4*b + 52 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 18*k - 13*k - 18*k - 21*k. Let a(v) = v**2. Determine o(a(l)).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -w + 4*f - 42, 0 = 2*w + 4*f + 14. Let u = w + 9. Let r = u - -17. Calculate the lowest common multiple of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 816522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2388*r*x*y**3 - 728*r*z + 2063*x*y**3*z - 3823*x*y**3 - 2*x*y*z wrt z.\nAnswer: -728*r + 2063*x*y**3 - 2*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 455, 3944, 13411, 31844, 62231, 107560, 170819?\n\"Answer: 498*n**3 + n**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1012, -2030, -3062, -4114, -5192, -6302?\n\"Answer: -a**3 - a**2 - 1008*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 16) to base 14.\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + 137. Let d = j + -64. Let o = d - 252.9883. Round o to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5\/5 + 4*z**4 + 36*z**3\/5 + 28*z**2\/5 + 8*z\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29, 1.36, 5\/133?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*j**2 + 20*j**2 + 199*j**4 + 82*j**4 + 630*j - 1 - 630*j wrt j?\nAnswer: 6744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.43 and -645?\nAnswer: 652.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 = -5*d, 0*d = z + 2*d - 12. Suppose 0 = 4*f - 3*i - z, -2*i - 6 = i. Let y = 0 + 3. Solve -y*a + 4*a + 4 = f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4500))\/(-3*sqrt(225)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, 17, -2 in descending order.\nAnswer: 17, 0, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 5 (b) -2 (c) -0.4 (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4140.\nAnswer: 16560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - sqrt(1400)*-2*-4 - sqrt(1400))\/((sqrt(7) - (sqrt(7) + sqrt(7)*-2) - sqrt(7))*2 + 1*sqrt(112) + sqrt(112)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*b - 137*b - 4919 - 121*b)*(0*b + 2*b - 5*b).\nAnswer: 3*b**2 + 14757*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11001101001010100000 (base 2) to base 4\nAnswer: 3031022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 7*q**2 + q - 5. Calculate the remainder when y(5) is divided by (76*-1 - 0)*3\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:55 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 37475*s**2 + 27*s - 18. Let b be u(5). Suppose 4*a + b = -41223. Round a to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34174, 136710, 307596, 546826, 854394, 1230294?\nAnswer: 1674520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 26*v - 11.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3370304, 13481222, 30332752, 53924894?\nAnswer: 84257648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from yuran.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2 - 15*n. Let h(t) = -t - 22. Let o(s) = 2*s + 55. Let j(c) = -5*h(c) - 2*o(c). Determine g(j(w)).\nAnswer: 10*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b**2. Let v(y) = 25 - 25 + 11*y**2. Determine v(r(n)).\nAnswer: 1584*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(12\/32).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 174 - 126. Let n(v) = 2*v + 4*v - 5*v + 0*v + 11. Calculate the remainder when 8 is divided by n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*m - 413 - 89, 3*j = 2*m + 1516. Let p be j\/77 - (-3)\/7. Let n(o) = o - 5 + 7*o**2 - o**3 - 4 + 2 + 0. Give n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078356622 plus 2?\nAnswer: 1.9921643378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y)*(4 - 3 + 0)*(-2*y**4 + 4*y**4 + y**4).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 831430, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x. Let w(d) be the second derivative of -d**4\/12 + d**2 + 4*d. Let r(v) be the first derivative of w(v). What is r(s(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 49, 81, 127, 193?\n\"Answer: x**3 - 2*x**2 + 23*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242513 is divided by 455.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*(-15)\/2. Let a be (-204)\/(-30) - 1\/(-5). Suppose -a = -3*q + 8. Solve 0 = r + p*u + 16, 3*r - q*u - 13 - 19 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*q - 14, -q - 2*q + 10 = -n. Suppose 2*j - 47 = -q*m + 25, -5*m + 102 = 3*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*y = 14, -2*q - 5*y + 25 = 1. Suppose -3*z + 2*x = -2, 4 = q*x - 6. Factor 4*u**5 + 10*u**z - u**5 - 7*u**4.\nAnswer: 3*u**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -12. Suppose -3*j + 0 + 8 = 2*d, 12 = i*d + 5*j. Suppose 2*b = -3*b - x - 41003, -24588 = 3*b - d*x. Round b to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:38 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720125.\nAnswer: 5, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -14. Suppose a*t + 2*t = 0. Suppose t = -10*k + 12*k - 4. Solve -x = k - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1 (c) 5\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsydsdddsyyy. What is prob of sequence dd?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/5 in 3347, 1, 15, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.71 less than 152744477060?\nAnswer: 152744477063.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-9)\/21*100\/(-60)*-7.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14508365.\nAnswer: 5, 397, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -140388.\nAnswer: 140387.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -2*n, 0*n - 4*n + 3*v = -13. Solve 0 = -d + 5*f + 18, -2 - n = d + 2*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -58. Suppose 0 = -h*m + 5*m - 5*m. Solve -o + m*o = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -5, -30\/13?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2\/23*j**4 + 0*j**2 + 0*j - 8\/69*j**3 - 2\/115*j**5 + 10. Factor s(d).\nAnswer: -2*d**2*(d - 2)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33589817 and 1402?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835034.\nAnswer: 2, 3, 305839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69065599?\nAnswer: 69065599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -4303c2?\nAnswer: -4303c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595781 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -25*l**3 - 2035*l**2 - 6660*l - 2340 = 0.\nAnswer: -78, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57888?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + m + 0*m)*(-9 + 36 + 5) - 7*m - 15 + 15 + (5*m + 0*m - 3*m)*(-5 + 5 + 1))*(3 - 4 + 2).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95264713.\nAnswer: 95264713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -10*i - 11\/20*i**5 + 0*i**4 - 10\/3*i**3 + 0*i**2 + 0. What is the second derivative of r(z) wrt z?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let o = 9725 - 9701. Let k(r) be the second derivative of 0 + 0*r**3 - o*r + 1\/6*r**4 + 0*r**2. What is k(x(g))?\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3) - (3 - -2). Let c(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/24 + i**3\/3 - i**2. List the prime factors of c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l**(-1\/4))\/((l**(1\/35)\/l)\/l**4) assuming l is positive.\nAnswer: l**(-1159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o**2 + 5*o + 5. Let n(k) = -34*k**2 + 16*k + 16. Calculate -5*n(j) + 16*s(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 16*a + 7. Is 17 a factor of w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + 66. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/20 + f**4\/4 - 5*f**3\/6 - 3*f**2\/2 - f. Let t = -6 - -2. Let w be z(t). Solve -w = -3*q - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**6\/1980 + 2*b**5\/165 + 4*b**4\/33 - 7*b**3\/3 + 15. Let z(m) be the third derivative of r(m). What is x in z(x) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-4 - (-72)\/15) + 756\/(-120)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1029)\/28)\/(-49) - (-1)\/4. Let i(q) = -15*q - 2. Calculate i(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 7\/5, 14469\/71, -1 in decreasing order.\nAnswer: 14469\/71, 7\/5, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-90))\/((-932)\/2097).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 1791?\nAnswer: 78804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46865.93 * 64.\nAnswer: -2999419.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - j + 55 - 1328, 3*j = -2*y + 619. Let a = y - 293. What is the remainder when 333 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*-1*(-36)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 128 = -3*l, -23574*l + 23577*l + 78 = 3*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -918*s**2*w**2 + s**2*w - 26*s**2 + 86*s*w - 6*s + 13*w**4 wrt w?\nAnswer: -1836*s**2 + 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-7 - -3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -r + n, n = -3*r + 8*r - 154. Let j(i) = -4 + 4 - 31*i + r*i. Let y(w) = -11*w. Calculate y(j(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*m*s - 4*k*s**2 - 349*m*r**2*s**2 + m*r**2*s + 5709*m*r*s + 4*r**2*s**2 - 2*r**2*s wrt s?\nAnswer: -8*k - 698*m*r**2 + 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-154)\/(-1155) + ((-3059126)\/(-15))\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = 3*l, 0*a = -3*a - 3*l. Is -1\/18 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3023*b**4 + 12*b**3 - 6*b**2 + 6*b - 3421. Let u(q) = -q**4 - 2*q**3 + q**2 - q + 1. Let i(t) = -g(t) - 6*u(t). Differentiate i(l) wrt l.\nAnswer: 12116*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -314001*p. Let b(v) = -3*v**2. Determine b(r(h)).\nAnswer: -295789884003*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -3\/11*i**3 + 1\/44*i**4 + 1\/66*i**5 + 0 - 3*i**2 + 1\/660*i**6 + 0*i. Factor b(c).\nAnswer: 2*(c - 1)*(c + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*w = 317 - 334, -l - 7 = 10*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -15*x - 3. Which is the fourth biggest value? (a) x (b) 0.06 (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1422 + -856. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*g - 4210249 - 3677891 = 0. What is the highest common divisor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/(3\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - l**2 - l**3 - 4 + 2*l - 4*l**2. Let i be t(-4). Solve 0*x + x = 5, -2*m - i*x = -16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-260)\/(-50))\/(-13))\/(702\/90)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -167.7\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.208 - -14. Let w = o - 92.792. Let f = w - -94. Which is the second smallest value? (a) -1.7 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.5 (b) -1\/7 (c) 0 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*g**3 - g**3 - 3*g**3 + (-2*g**2 + g**2 - g**2)*(-5*g + 4*g - g).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 8, -3, 3, 11, -7, 2 in decreasing order.\nAnswer: 11, 8, 3, 2, -3, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -10 (b) 6 (c) -61 (d) -1\/6 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -13.5. Let w = p - 15.5. Round w to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t - 1. Let j be g(3). Let m(h) = -39 + 22 + j + h**2. Let u(q) = 3*q + 0*q - 5*q. Calculate m(u(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 6 + 95*v**3 - 8 + v.\nAnswer: 95*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*v**5 - 5310*v**4 + 25*v + 223 wrt v.\nAnswer: 620*v**3 - 63720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 - 8*m - 8. Determine v(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 + 111 = -3*d, 544 = 5*b + 3*d. Let u be (-14)\/(-49) + b\/7. What is the least common multiple of 10 and (-15)\/4*u\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w - 5*w**3 + 18 + 16*w**2 - 5*w**2 + 2*w**2 + 4*w**3. Let i be ((12\/(-3))\/2 - 1) + 15. Let g be y(i). Is -5 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93, 99, 105, 111, 117?\n\"Answer: 6*f + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 - -115. Let h(g) = -9*g + 67. Let y be h(q). Does 11 divide y\/(-18) + (-1410)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1792+0.251\nAnswer: -1791.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/21 + 2\/(-6). Let z = 9 + -14. Let d be 2\/2*(-2 + 2). Which is the closest to x? (a) d (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13565, 27753, 41941?\nAnswer: 56129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0 + o**2 + 3*o**3 + 1\/24*o**4 + 0*o. What are the prime factors of x(13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 8\/((-1)\/(3\/(-6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 748.1148 millilitres?\nAnswer: 0.7481148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7)*(-37)\/(9065\/1330)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/8)*n*n**(1\/6)*n)\/((n**(1\/4)*n)\/n*n\/(((n\/n**2)\/n)\/n)) assuming n is positive.\nAnswer: n**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357165861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3060 and 6807820?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2797 + 15409. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 1405.\nAnswer: -43\/1405","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 732482, 1464964, 2197446?\nAnswer: 2929928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -307 - -317. Let h(r) = -r + 10. Let i be h(7). Solve i*u - 5*u + z = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2\/5*v**5 + 0*v - v**2 + 0*v**4 + 0*v**3 - 2. Find the second derivative of l(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = d - 5, -3*d + 0*p + 5*p = 40. Let r(k) = -k**2 - 8*k - 3. Let y be r(-7). Put -2\/33, d, y in descending order.\nAnswer: y, -2\/33, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2892\/11303 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 246?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6976276219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 3*w**2 + 573*w**3 + w - 1124*w**3 + 1 + 574*w**3 + 13*w**4 to g*w**2 + x*w**3 + l*w**4 + f + b*w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 9*v. Let s be f(-4). Suppose -53 = -s*x - 3*l, -11 = 4*x + 2*l - 61. Let q = -5 + 6. What is the greatest common divisor of x and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113302 - -112?\nAnswer: 120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 914339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n = 122*n + 22825176. What is n rounded to the nearest 1000?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.512067nm to millimeters.\nAnswer: 0.000002512067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6916 + -6916.07. What is the fourth biggest value in 0, 2\/9, m, -308, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 68*a**2 + 49*a + 175. Let r be y(-3). Calculate the greatest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1845 and 67296006.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 113, 167, 219?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 39*r**2 - 2*r - 2. Let y be v(2). Suppose 0 = -3*j + y + 12. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5036 + 6150. Calculate the remainder when y is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 22. Let p(l) = -l + 11. Let w(b) = -7*p(b) - 3*t(b). Calculate w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(132) + sqrt(132))*-6)\/(sqrt(12) + sqrt(300) + -1*sqrt(300) + sqrt(12)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.9. Let h = -601 - -230. Let z = h - -367. Is z > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5623*a**2*z**3 - 377*a*z**2 + z**3 wrt a?\nAnswer: -11246*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-116) + 0)*(209\/(-11) - (-1955)\/105).\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/140*6 - -3 - 4. Which is the biggest value? (a) 0.4 (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:09 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 69*f + 2368 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, 1 w, and 1 j when four letters picked without replacement from wjcmk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*f - 38450 + 1647 = 41893 for f.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 24. Suppose -5*z - p*q = -3*z - 84, -2*z - 3*q = -81. Let l be z\/(-56)*(-28)\/(-32). Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b. Let a(u) = -27*u + 3 + 84*u - 1 + 134*u - 1. Give a(n(z)).\nAnswer: 382*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (444\/1776)\/(1\/(-272)). Let b be ((-6)\/(-28))\/(3\/4). Is b at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(980) - (sqrt(980) + 0)) + -4 + 3 - -5*4*(0 + sqrt(980))))**2.\nAnswer: 560*sqrt(5) + 392001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3520 (base 8) in base 11?\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 93. Suppose 1 + 8 = -3*l - 3*f, -f = -2*l. Let u = -593 - -591. Which is the closest to -2\/5? (a) u (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 6. Let f be s(4). Let p = 16 + f. Let h(a) = a**2 + a + 1. Give h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 268164.63 - 269883. What is o rounded to the nearest ten?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12281.21 to the nearest ten.\nAnswer: 12280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c - -3d24?\nAnswer: 3db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -20. Let y = n + 21. Let m be (-1)\/y + 4\/(-21). Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 115. Suppose r*o = -4*o + 37429. Suppose 4*f + o = 5*k, 0*k - 5*k = -f - 5338. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-2) - 3)*-1. Let c(v) = v**2 + 3. Let m be c(y). Solve -o - 2*o = -m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*w, 2*z = w + 3*z - 6. Which is the nearest to w? (a) -0.3 (b) -2\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 14.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793 divided by -12209?\nAnswer: -6793\/12209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082058757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 + 5. Let l = 0.8 + u. Let x = -34.9 - -36.9. What is the smallest value in x, -1\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15400 by -28.\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -162a73 (base 11) to base 14\nAnswer: -68209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.036 - 7.886. Put -2\/7, 8, 0.4, h in decreasing order.\nAnswer: 8, 0.4, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14b + -15?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3733297968 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.038 or 0.7856?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p, 3*r + 0*p - 2*p = 93. Suppose -4 = 29*n - r*n. Let o(f) = -1 + n + f**2 - 1 + f + 3. Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153874577\/4415642 - -41961\/1082. Let t be 0 + 3*(-6)\/(-742). Let y = s - t. Calculate the common denominator of y and 40\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 + -0.62. Suppose -6*s + 3*l - 16 = -2*s, -13 = s - 3*l. Which is the closest to s? (a) k (b) 1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - y)*(-y - 2*y + y)*(3 + 11 + 0) + (y**2 + 0*y**2 - 3*y**2)*(1 + 4 - 6) - 2 + 4*y**2 + 2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9711826744 rounded to 5 dps?\nAnswer: 0.97118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (31 - 2) + 12\/(-4). Let x(m) = -2 + 2*m - 2 - o*m + 9. List the prime factors of x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, l: 3}. Give prob of picking 1 e, 1 k, and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-621)\/216*8)\/(2\/2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*q - 96 = -77, q + 16 = 2*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Calculate the remainder when 37 is divided by 15 - (-2)\/(-4)*t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -2*k**6\/15 - 8*k**5\/5 + 287*k**4\/3 + 196*k**3 + 2*k - 567. Factor q(g).\nAnswer: -4*g*(g - 14)*(g + 1)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p + 1. Calculate the remainder when 65 is divided by 99\/6*4\/p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 13) to base 8.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-66) - 6\/(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 13*p - 3. Let g be l(14). Let t(s) = -10*s + 49. Let a be t(9). Let d = a + 96. What is the highest common factor of g and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/720 + j**5\/8 + j**4\/24 - j**3\/3 + 14*j**2 + 5*j. Let o(s) be the second derivative of i(s). What is o(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*f + 15204 = 486*f. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 42. Let t = 28 + s. Differentiate 7 - 15*i**4 + 1 + 5*i**4 + 16*i**t with respect to i.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206 - 145. Let z = o + 18. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(1 - (-38)\/(-10)) is divided by (-9)\/(-2) - (-6)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -148 - (-1 + (-1 - 1)) - -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*y - 283 = -y, 5*n - 3*y - 473 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f - 2. Let p(z) = z + 4. Let y be p(-5). Let j be c(y). Let l(h) = -h**3 - 11*h**2 - 13*h - 2. Is l(j) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 1, w: 1, d: 1, a: 1}. What is prob of sequence kag?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.0106 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1373, 2747, 4121, 5495?\nAnswer: 6869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:19 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 397, 736, 1075?\n\"Answer: 339*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*o - 2, 4*a + o - 5 = -2*o. Is a at least as big as 3\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w - 2. Let d(s) = 2*s**2 + 4*s + 14. Calculate the lowest common multiple of d(-2) and o(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 69 + 371*o - 71 + 216 + 93*o.\nAnswer: 464*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*l = 25, -2*l + 0*l = 3*z + 10. Let h = 1 - z. Calculate the lowest common multiple of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 9) to base 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 30 + 34 = 0. Let d(h) = 5*h**2 + 2*h - 7. Let u be d(5). Calculate the highest common factor of u and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*r - 2 - 1 = 0, -4*r + 1 = -w. Let t be 4*3*w\/198. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4995\/165)\/37*((-6)\/((-18)\/(-5)))\/(-3)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130444517 to the nearest integer?\nAnswer: 11421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 11*x + 11. Let c be f(8). Let o(a) = a**3 + 14*a**2 + 9*a - 7. Let z be o(c). What is the units digit of ((-60)\/z)\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 1. Suppose 4*y = -z - 18, y = 4*z + 6 - 2. Let k be p(z). Let u(c) = 0*c**2 + 4*c**2 - 7 + k*c + c**2 - 4*c**2. Give u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 9*o - 13. Determine b(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*w + 24, -13549 = 2*k - 2*w - 13553 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -1 - -6 - -20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:04 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 42 - 39 = 0. Let v(y) = -y**2 + 2*y. Let r(g) = -7*g**2 + 4*g. Let l(p) = s*r(p) + 2*v(p). Let x(o) = 16*o**2. Determine x(l(q)).\nAnswer: 400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*t**3*u - 2*k*t*u - 50*k*u**2 - 9*t**3*u**2 - t**3*u + 48*t**3 wrt u.\nAnswer: -100*k - 18*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164686541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 (base 3) in base 14?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19929 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30756, 61412, 91952, 122376?\nAnswer: 152684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7819898.\nAnswer: 2, 17, 127, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200577327*x**4 + 104176769 wrt x.\nAnswer: -802309308*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 535 - 577 = 0. Let q = -0.8 + 1.2. Put 2, q, -5, x in descending order.\nAnswer: 2, q, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -3, -0.18, -334.2?\nAnswer: -334.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 + g**2 - 3*g + 1. Let n(u) = -30*u**3 + 8*u**2 - 24*u + 6944. Give -8*i(o) + n(o).\nAnswer: 2*o**3 + 6936","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = -3*u - 2*i, 5*u + 15 = 5*i. Solve 0 = u*b - b - 4*f + 4, 2*b = 2*f - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 849177 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:42 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.02 - 21. Let f = -0.0199792 + b. Round f to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 109 = -2*v, -v + 18 = 5*d - 23. Let h = v - 57. Is h at least as big as 1\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 238*j - 152. Let u be l(6). Calculate the highest common factor of u and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b = -2*b - 16170. Calculate the lowest common multiple of 210 and b.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.6 (c) -5 (d) 5 (e) -2\/959 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 765*i**8\/112 - 5*i**5\/6 - i**3\/6 + 1242*i**2. Find the third derivative of n(m) wrt m.\nAnswer: 137700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104\/7 - -15. Put -3\/4, d, -4 in decreasing order.\nAnswer: d, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = 20. Let a be 0 - p*2\/1044. Let s = a - 508\/1827. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/66 and -157\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174261930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1 - 77\/(-110))*-2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 5*b - 4*b + (-4 - 3 + 5)*(2*b - b - 2*b) - 4*b + 5*b + b + 3*b + 0*b - 2*b + 0*b + 2*b + 3*b in the form l*b + m and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.55*-0.19.\nAnswer: -0.1045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose -u + 0*h + 5 = 5*h, l*u = 2*h + 64. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 323*n**3 + 17*n**2 - 17. Let y be (63\/(-14) - 4)\/((-4)\/8). Let v(w) = 54*w**3 + 3*w**2 - 3. What is y*v(k) - 3*o(k)?\nAnswer: -51*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 46935426.\nAnswer: 93870852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 5:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 94. Suppose u - 2*g = 3, -2*u + g + g - 2 = n. Let i(j) = -3*j**2. Let f(d) = -3*d**2. Let p be ((-20)\/(-35))\/(1\/7). Calculate p*f(o) + u*i(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15619 and -334?\nAnswer: -5216746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 6571 - 6571.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -126*r**2 + 42*r**2 + 2*r**2 + 58*r**2 + 45*r**2. Let k(n) = -n + 9. Give g(k(q)).\nAnswer: 21*q**2 - 378*q + 1701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(28) + -3).\nAnswer: -15 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/r**11))\/r*r*r**(3\/4))\/(r*r\/(r**3\/r)*r)**(5\/8))**(-37))**(-2\/3) assuming r is positive.\nAnswer: r**(3293\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 2. Let s be 4\/((-8)\/10)*-1. Suppose -s*i = -0*i - 20. Suppose 0 = 3*r - 3*g + 7 + 2, g = -i*r + 3. What is f(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 39*r = -6960. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(425)*4 - sqrt(425) - (0 + sqrt(425)*-2)) + (5 + -2 + 5*sqrt(425))**2.\nAnswer: 215*sqrt(17) + 10634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -4230?\nAnswer: -5922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.069 - -43.86\nAnswer: 43.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - (-97 - -99).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 23 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 122\nAnswer: -3\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4521)\/231 + 15)*-14. Let h(k) = 7*k**2 + k + 4. Let o be h(-3). What is the highest common factor of z and o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 3. Calculate the remainder when 15 is divided by n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139081 + 48653*l + 1138869 - 48654*l.\nAnswer: -l - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08079 - 0.21921. What is the fourth biggest value in 5\/3, -656, q, -0.4?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - s - 30*s**2 - 48*s**2 + s - 8*s**2 + 56*s**2.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9857558, -9857555, -9857550, -9857543?\nAnswer: -9857534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqrqrddyrrqvrdr. Give prob of picking 1 d and 1 v.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u**2 - 19\/3*u**3 + 1\/5*u**5 - 91*u + 0*u**4 - 93. Differentiate o(g) wrt g.\nAnswer: 4*g**3 - 38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + sqrt(162))*1 - ((sqrt(162) - (sqrt(162) - -2*(sqrt(162) + sqrt(162) + -3) - sqrt(162))) + -2))*-5*2)**2.\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1740 + 1741.163. Round c to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 448 - 451. Let s = 62\/77 + -5\/7. Let f = 0.8 + -1. Which is the smallest value? (a) g (b) f (c) 3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/7)*i*i\/(i*i\/(i*i*i*i**(2\/21)*i*i*i)) assuming i is positive.\nAnswer: i**(137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 - 94*l - 136. Let o be c(-22). Let m(f) = 2*f**2 - 36*f + 33. Let d be m(17). Put d, 3, o in descending order.\nAnswer: 3, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -5\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -22*p**3\/3 - 350. Let v(w) be the first derivative of -w**2 - 2. Calculate v(r(l)).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + 17 + -6 + -1 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -3 (c) -2\/27 (d) -1 (e) -94\/9 (f) 3 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001391 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -24*o - 6. Let z be a(-4). What is the greatest common divisor of 36 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -19. What is the closest to f in 2\/5, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1644, 6702, 15128, 26916, 42060, 60554, 82392?\n\"Answer: -a**3 + 1690*a**2 - 5*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - -1136a?\nAnswer: 1132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -698 - 60*a**2 - 68*a**2 - 680 - 16*a + 1362 + 12*a**2. Let o(j) = 39*j**2 + 5*j + 5. Give -5*b(r) - 16*o(r).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*d**3 + 1523*d**2 - 8*d**5 + 103*d**5 - 45*d**4 - 1493*d**2 - 11*d**5 = 0 for d.\nAnswer: -1, 0, 2\/7, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 + 93. Let p = k - -41. Which is greater: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.5103 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12300927 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28954 from 469.\nAnswer: -28485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/3 - k**2 + 2*k - 2. What are the prime factors of t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-136)\/(-3))\/(10\/15). Suppose 2*a + u = 102. Suppose -a*o = -7*o - 8410. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2521\/9 + -561\/2. Let v be (69\/(-6))\/((-3)\/(-102)). Find the common denominator of b and v\/(-102)*(-6)\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 7 (c) 1\/6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 3\/5 (b) 49\/3 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*l - 271 + 276, 13 = 6*k - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 130*k + 8. Let d(x) = x**2. Give w(d(b)).\nAnswer: 130*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-232)\/(-6) + 8\/24. Let v be (-6)\/4*(-52)\/d. Suppose 2*m = -4*j + 144, v*j = -2*m + 39 + 29. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 + 195. Calculate the remainder when 140 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 1\/40*p**5 + 0*p**2 - 1\/168*p**7 + 0*p**6 + 0 + 0*p**4 - 1\/24*p**3 - 2*p. Solve f(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 smaller than 82\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*y + 15 + 3*y - 9*y)*((4 - 6 + 1)*(-1 - 3 + 8) + 1 + 1 - 27)*(3*y + 2*y - 3*y) to q*y**2 + d + j*y and give j.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/582 and -23\/56687382?\nAnswer: 56687382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10167*n**3 + 4968*n wrt n.\nAnswer: 61002*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*v + 9, a + 0*v = v + 3. Suppose a*j - 110 = -0*j - w, j - 5*w = 10. Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:12 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 16 - 16. Let f be (h + 146 + -1)*1. Suppose 246 = o + f. What are the prime factors of o?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-90)\/(-27))\/(-2 - 780\/(-387)) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 3*v + 2*v**4 + 30 - v**3 - 31 + 0*v**3 + 2*v**3 to the form f*v**2 + h*v**3 + m + l*v**4 + s*v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3*k - 7*k)*(-2*k + 2*k + k) + 8 - 8 + 4*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + 6154*f + 205765. Calculate h(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllmcchlhl. What is prob of sequence cc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*l - 3*w - 172, -62*w - 36 = l - 101*w + 41*w for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 4377, 15360, 36905, 72534, 125769?\nAnswer: 200132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-3)\/(12\/(-20)). Suppose -4*y + w + 3 = 0. What is the remainder when 4 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14953 - -33672. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 2. Let l be u(-2). Suppose -r - 2*r + 774 = l. Let t be r\/18 - 4\/(-6). Solve 0 = -5*k - t, 5*h + 21 = k - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -6*b + 22, -127*b + 131*b = -2*j + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, 5, -24, -19751?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 44, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17000 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-5)*(k\/(k**(-6)*k))\/k*k**(-2\/5)*k*k*k*k*k**(-1) assuming k is positive.\nAnswer: k**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36 * -0.07\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/357 + 17009\/8211. What is the common denominator of l and 40\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.430753 + 18.1007. Let x = 1.33 + g. Round x to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/((-110)\/132*3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:02 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 26 - 6. Suppose 5*n = -2*b - l, n - 2*n = -3*b + 5. What is the third smallest value in -13, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155330 (base 6) in base 5?\nAnswer: -14433210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*l + 79. Let k be l\/10 + 2\/(-5). Suppose 2*t + 12 = k*z, -z + 2 = 4*t + 1. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**5\/120 + d**4\/8 - 7*d**3\/6 + 29*d. Let u(w) be the second derivative of o(w). Let m(n) = 2. Determine 4*m(z) - 3*u(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 11876*j - 35259844.\nAnswer: -(j + 5938)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 36 + 0*s + 13*s + (0 + 6 - 4)*(1 - 1 - s) to the form u*s + z and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i. Suppose -q + 12 = 3*g, 0 = -i*q - 2*q. Suppose -2*j - 10 = -7*j - g*r, -2*r = -j + 2. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1 = 3*k - 17, 5*k = -5*n + 25. Solve a + k*l = -16, 3*a - 4*l + 2*l + 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/(sqrt(81) + sqrt(9)))\/(sqrt(324)*3 - sqrt(324) - sqrt(324)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828.3 at most as big as -75\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -189422.\nAnswer: -2\/94711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -55 (c) -315.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 5*t = 6, 10 = -5*t. Suppose 2*h - 17 = 5*n, -2*h + 2 = n - 9. Suppose 7 = 3*u + 5*l, 2*u + 6*l - h = 4*l. Put u, r, -0.3 in ascending order.\nAnswer: r, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/7))**(-2\/3)*((y**(1\/2)*y)\/y)\/(y\/(y\/y**(2\/43)*y*y)) assuming y is positive.\nAnswer: y**(3743\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*81\/(-12)*32\/144\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpq when three letters picked without replacement from aqpqaappqw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16668, -18519, -20366, -22209?\n\"Answer: 2*k**2 - 1857*k - 14813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 85*n + 77*n - 160*n + (4*n - n - 2*n)*(-4 + 5 - 2) to the form u + c*n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*h - 4 + 22 + 40, h = 3*t + 121 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -4*f, 3*f + 12 = 2*q + 2*q. Suppose 5*k - 3*v = 1187, q*k = v + 862 - 149. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 4) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391951 + 219606 = 2*c - 3*y, 2*y = -5*c + 1528883. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3028\/1514)\/((-2)\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/14992 and -55\/11244.\nAnswer: 44976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508122?\nAnswer: 2, 7, 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -6) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7428, -14924, -22426, -29934, -37448, -44968?\nAnswer: -52494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.303514 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let k = -21248 - -21247. Put g, -3, k, 2 in descending order.\nAnswer: 2, k, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 297.124?\nAnswer: 296.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49163 - 147535 + 49171 + 4*y**2 + 49201.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*y**2 - 2*y**4 - 8*y**5 + 5*y**4 - 3*y**4 wrt y.\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6568*q**2 + 13099*q**2 - 6554*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 22.3?\nAnswer: 23.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6651779800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846438 divided by -6.\nAnswer: -141073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v**3 + 93*v**2 + v - 4722 wrt v?\nAnswer: 30*v + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/4*70\/(-5460).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1656695 to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 20*p = -5*r - 15, -3*p + 4*r = 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 2*q**2 - 4*q. Let m be c(-3). Sort -14, m, -1.\nAnswer: -14, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -28. What is the tens digit of (-6)\/(-9) - (-102)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 88236*h + 617599. Calculate t(7).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43855940 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00336685528 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (3*sqrt(200) - sqrt(200)))\/sqrt(8) + -1*sqrt(150)\/sqrt(6))\/((sqrt(80)*-6 + sqrt(5) + sqrt(5) + sqrt(405)*-1)*-3).\nAnswer: -2*sqrt(5)\/93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-5 + (-535)\/(-5)). Let d = 105 + a. What is the third derivative of -9*i**d - 2*i**3 + 11*i**3 + 32*i**4 + 24*i**2 wrt i?\nAnswer: 768*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/347 - -36868\/580531. Is 1 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73033?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 6, 27, 66, 129?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j + 28 + 8*j**3 + 15\/2*j**2. What is the second derivative of c(n) wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.27 + -1.17. Let c = 14.9 - w. Sort -5, 3\/2, c in increasing order.\nAnswer: -5, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -84, -191, -382, -687, -1136, -1759?\n\"Answer: -5*g**3 + 3*g**2 - 27*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 + 2*b**2 - 2*b + 2. Let o be j(1). Let v(c) = -2*c**3 - 4*c**2 + c + 1. Let y be v(-3). Solve y = o*l - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 1 + 436*g**3 + 4 + 1141*g**3.\nAnswer: 1577*g**3 + 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*56*-6. Suppose 9*j - 3*j - s = 0. Is (-18)\/(-14) + -1 + 253944\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p - 4*p**3 - 5*p**4 - 47*p**2 + 3*p**4 + 49*p**2 + 3*p.\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4660 is divided by 130?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24843332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 416\/5 + -93. Let c be ((-40875)\/888)\/(-5) + -2. Let d = c + -40\/37. Find the common denominator of a and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 187 + 67 = 0. Calculate the lowest common multiple of n and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j + 12. Let p be m(-3). Let v(t) be the third derivative of -5*t**4\/24 - t**3\/6 - 11*t**2. Determine v(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2001*i**2 - 6045*i + 126 = 0?\nAnswer: 14\/667, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54, -112, -168, -222, -274, -324, -372?\n\"Answer: n**2 - 61*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525 = 327*c - 91*c - 2543 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1628)\/110 - 48\/40) + (-948)\/(-57).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 110*c.\nAnswer: 2*c*(c - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 11*g**2 + 4. Let n be u(-9). Let p = 274 - n. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from czqztzctcccc.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(33\/(-5) - 2 - 3). Let k be ((-4)\/18)\/(16\/(-4188)). Let x = k - f. Sort 0.4, 1, x in descending order.\nAnswer: 1, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -14*b + 2*f - 31529, -3*b - 5*f + 31550 = 0. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:19 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s**2 - 5*s**2 - 3*s**2 + (-7*s + 0*s - 7*s)*(2*s + 4 - 4))*(-4*s**2 + 5*s - 5*s).\nAnswer: 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2\/5 + 12*q - 64\/5 = 0?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**9\/q))\/(q*q\/(q\/q**(-2\/31))*q))**(-37)*(q\/(q**1\/q))**(-42)\/(q**(1\/3)\/(q*q**(-2\/3))) assuming q is positive.\nAnswer: q**(8947\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*-3*-2*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.2 (b) 3 (c) 34.84 (d) -2 (e) 0.1 (f) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s + 17*s + 12*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1293*j**3 + 245*j**2 wrt j?\nAnswer: 7758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c + 2*c**3 + 0*c**3 - 9*c)*(2 + 0 + 0).\nAnswer: 4*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6232549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 73, 10, -109, -302?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/24)\/f)\/(f*f**(6\/13)) assuming f is positive.\nAnswer: f**(-781\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgcg. Give prob of picking 1 g and 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 16.4. Let t = 1.3 - z. Which is the closest to t? (a) 0 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3031 + -0.35737. What is i rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70018 divided by -2\nAnswer: 35009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 2*d**3 + 23*d**3 - 11*d**3 + 18 - 244*d - 6*d**3.\nAnswer: d**3 - 244*d + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/7*k + 40\/7 - 38\/7*k**2 - 2\/7*k**4 - 18\/7*k**3 = 0.\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447 + -1324\/3. Suppose 0 = -5*c + 2 - 7. Calculate the common denominator of q and c + -2 - 66\/(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8999*z - 65922 = 6662*z + 6313*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6012.824 micrograms to kilograms.\nAnswer: 0.000006012824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/4 - 2)*4. Which is smaller: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -1 - 39. Let r be o + ((-2)\/(-2) - 2). Let j = -67 + 471\/7. Which is the second biggest value? (a) r (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51507323 or 51507340?\nAnswer: 51507323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*x - 21*x + 8*x + (-6 + 0 + 4)*(-2*x + 0*x + x))*(-x**2 + 6*x**2 + 3*x**2)*(2*x - 2*x + x) to g*x**2 + h*x + o*x**3 + m*x**4 + r and give m.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -2709?\nAnswer: -2718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/5 + 1212*q**2\/5 + 149147*q\/5 = 0. Calculate q.\nAnswer: -1073, -139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-9)*(-6)\/(-225))\/((-41)\/123).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27.89*-0.0417\nAnswer: -1.163013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((396\/3)\/3)\/(-3)*240\/(-640)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2779 - 8338\/3. Suppose -3 = 2*d + y, -3*d - 2*y = 2*y - 8. What is the nearest to 0 in -0.2, j, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88266364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-22)*-9 + (-28)\/154. Put n, 140, 2 in ascending order.\nAnswer: n, 2, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2617858.\nAnswer: 2, 19, 68891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Calculate the highest common divisor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141902917 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 83.42146ms?\nAnswer: 83421460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70151*y**4 - 11653*y wrt y?\nAnswer: -841812*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -d - 11, -d - 7*k = -2*k - 10. Let l(n) = -n**3 + 4*n**2 - 5. Let m be l(4). Is m > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = 11*c. Let l = -27 - -29. Solve -f - 8 = 5*x, c*x - l*x = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o**7 + 0 + 0*o**4 + 0*o**6 - 1\/60*o**5 + 0*o**3 - o**2 + 0*o - 1\/112*o**8. What is the third derivative of h(n) wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -301923.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17953500 by 5984500.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1)*((-55)\/(-10) + -6). Let x = -232 + 235. Sort u, -7, x in ascending order.\nAnswer: -7, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59 and 3540.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w**2 - 32*w + 57. Determine x(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 - 2*b**2 + 4*b**2)*(-2 + 4 + 4)*(15 - 3 - 1) in the form a + q*b + d*b**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -13.8 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 458411266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 19*b + 11817 = -21*b, -2*r + b = -7880. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*f**2 - 3*f**3 - 7*f + 0*f - 5*f + f**3 + 144*f**2 - 3 as l*f**3 + x*f**2 + p*f + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.7 plus 549717373?\nAnswer: 549717245.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023995639 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42\/29, -304, 0.03, -4\/7, 4, 5 in decreasing order.\nAnswer: 5, 4, 0.03, -4\/7, -42\/29, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(-25\/6)\/p)*p\/p**(4\/9) assuming p is positive.\nAnswer: p**(139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3378 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21096.45ns in seconds?\nAnswer: 0.00002109645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-121)\/(-32186)*-38)\/(20\/(-7)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -2\/3, 1\/6, 152?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/7 (b) 0.3 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 61*f**2 + 14*f + 86*f**2 - 26*f**2 - 13.\nAnswer: -f**2 + 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 - 178. Let p(k) = 3 + 2 + 27*k - 33*k + k**m. Give p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.034773 rounded to 2 dps?\nAnswer: 40.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*k - 140*k - 342*k - 332*k.\nAnswer: -706*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-381))\/(3807 - 3805)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 739 and 98899631.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 33772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001011011011001100 (base 2) in base 15?\nAnswer: -37a8c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/24)\/(180\/945).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(30 - 10 - 8985\/450)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/8 - (6 - 3))\/(3\/(-6)). Determine t so that -6\/7*t**4 + 0*t**2 + 0*t - 2\/7*t**b + 0 - 4\/7*t**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*v + 2203 = 138*v - 3089 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**(-1\/2)))\/(a\/(a*a*a**(-2\/15)*a))*a**(-2\/5)*a**(2\/3)*(a**(-2\/23)*a**(-2\/15))**38 assuming a is positive.\nAnswer: a**(-4649\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15547 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7548571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-24)*-3)\/2. Sort -6\/5, -3, x in decreasing order.\nAnswer: x, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 2, v: 4, j: 4, n: 3}. Give prob of picking 1 v and 1 j.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - 241*r**2 + 155*r - 495. Calculate g(-81).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let f = -164 - -163. What is the closest to f in -2\/11, n, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(18 - 555\/30) - 2451\/152?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238777\/9303*(-7)\/((-231)\/90)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12202 (base 3) to base 9.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266, 17, -2, 4, -0.5 in descending order.\nAnswer: 17, 4, -0.5, -2, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 237622 + 239072 = 0 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 903 - 861. Calculate the highest common divisor of 3801 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssswssw. Give prob of sequence ss.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/750 and 37\/108300.\nAnswer: 541500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 39*x**2 + 0 + 5 - 5 + 1. Let f be c(-1). Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 15*g - 48. Put g, 2, -1 in decreasing order.\nAnswer: 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 11 + 5 = x, 2 = -5*x + 2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 3*w + 1. Suppose -202 = 8*n - 82. Is s(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-2) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3390624 and -143\/438.\nAnswer: 247515552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 319, -1377, 0.4, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4258 - 8523 - 48*k + 4263.\nAnswer: -48*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -3. Let h = -480 - -495. Differentiate 5 - 33*u - 4 - c - h wrt u.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 2*x + 845 = 815. Solve x*v = 4*r - 4, 0 = v - 8*r + 9*r - 10 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 4*u + 5. Let n be w(-5). Suppose 2*f = 4*f - n. Let r be (-2)\/9 - (-58)\/18. Solve -f*m + r = 4*i - 2, 5*m = 3*i + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, 41, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8536\/7 at most as big as -1220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(((-9)\/10)\/(((-2535)\/(-832))\/65))\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, y: 2, r: 4, k: 8}. What is prob of picking 1 r and 1 p?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 at least 2055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y + 1. Let x(n) = -16*n + 3. Give 3*g(b) - 2*x(b).\nAnswer: -19*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*k + 45. Let g be (14\/(-4) - -3)*8. What is the remainder when k is divided by (-5)\/(-20) - 67\/g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-578)\/(-8) - 3\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 - -3.8. What is the third biggest value in j, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-55) - 3 - ((-4)\/198)\/(1324\/(-48326))\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 164125.14 microseconds?\nAnswer: 0.002735419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 6 - 9 - -6) + 6 + (-17 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -1.2 (c) 2\/9 (d) 0.5 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563 = 98*w - 153 - 754 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 14*o - 6. What are the prime factors of s(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:25 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 4. Let g be n(6). Let c(p) = -4*p + g - p - 2 + 13 - p**2. Calculate the remainder when 25 is divided by c(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -4*x - 7*x + 3*x - 34 - 4*x + x**2. Let m be a(7). Solve -2*q - 3*c = 5, -q + m*q + 4*c = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1895423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322 + -321. What is the closest to 1 in 4, -8, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-7) - 56\/28. Solve -q*g - 4*s = 8, 0 = -0*g + 5*g - 4*s - 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306884.5 hours in nanoseconds?\nAnswer: 1104784200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1606)\/150161 + (-96480)\/1122?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 3. Let b be 1\/(10\/(-100)*5). Let k(x) = -36*x + 16. Let m(s) = b*k(s) - 11*w(s). Calculate m(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3*n - 5. Calculate the remainder when 76 is divided by c(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1782*n + 30270. Give s(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -0.2, 1, 8, -0.14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 118762948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-798)\/(-1026)*(10 - 19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhqh. Give prob of sequence hhqh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*q + 8, w = q + 2*q - 9. Find the second derivative of 10*f + q*f - f**3 - 4*f - f wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nruu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(3 + (sqrt(468) - -1*-4*sqrt(468)) + -4 + sqrt(468) + sqrt(468) + sqrt(468) + -3 + sqrt(468) + sqrt(468)))**2*-2.\nAnswer: -94568 + 5280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2862 - -42928\/15. Which is the closest to -1\/2? (a) t (b) -4 (c) -0.059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3332 and 8232?\nAnswer: 139944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j - 6172 = -4*f - 34*j, -2*f - j + 3081 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/60 + 29*y**4\/12 + 841*y**3\/6 - 32*y**2 - 33*y. Let z(a) be the first derivative of d(a). Factor z(o).\nAnswer: (o + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/12 - 7*f**3\/6 - 3*f**2 - 61*f. Determine i(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061 - 5.22629689977.\nAnswer: -5.28729689977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.22 + 9.22. Let a = 391 + -390.7. What is the biggest value in y, 5, a, 0.087?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 5)*3*4. Suppose 4*y - l = 0, -5*x + 2*y + 0 = 21. Suppose -5*i = -4*f - 13, 3*f = i + 2*i - 9. Do f and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q + 4. Let j be (5\/10)\/(q\/2). Is ((1 + -2)*-22)\/j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 42960*m - 128855. Determine u(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -2\/3 (c) 1\/3 (d) -5\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**3\/3 + 2*u**2 + 3*u + 2054. Calculate g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4101*m - 869289. Give v(-212).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, y: 1, q: 2, e: 1, j: 1}. Give prob of sequence qe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 580365.9 micrometers?\nAnswer: 0.5803659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-8))\/((-100)\/(-40)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/266 - 1\/(-70)*-10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 52*k**3 - 4*k**2 + 6*k**2.\nAnswer: 52*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -4.2. Let j be ((-104)\/(-78))\/(((-2)\/6)\/(-1)). Let u be ((-12)\/10)\/(-2) - 1. What is the closest to -2\/3 in j, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -50. Let d be (x - (-188)\/60)*(-3)\/(-11). Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4736 and 123472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/542 + 1063\/11382. Let n = -24.496 - 0.504. Which is the third smallest value? (a) 4 (b) n (c) -5\/3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 + 5*b**2 + b + 2. Let y(c) = 14*c**3 + 14*c**2 + 3*c + 5. Let r(n) = 17*k(n) - 6*y(n). Give r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 2943885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-60)*(-24)\/54*(-30)\/16?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 2 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -49*t**2 - 14*t - 14. Let s(y) = 17*y**2 + 5*y + 5. Let n(h) = 6*b(h) + 17*s(h). What is n(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 7, 117\/5?\nAnswer: 117\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14 + (2 + -1)\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128.15033242 + -128.15. What is y rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-665)\/(-57)*408\/850)\/(4\/10)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 4410719.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:50 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-6*((sqrt(325) - sqrt(325)*1) + sqrt(325)) + (sqrt(325) - (1 + sqrt(325) + 3 + sqrt(325))))*6*4 + 1)**2.\nAnswer: 159600*sqrt(13) + 9181825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36887687.\nAnswer: 5573, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5299\/3 - -1767. Which is the closest to 46? (a) -0.4 (b) 0 (c) 0.3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 3 - 4 + 5 - 7. Let w be o(4). Suppose 0 = -2*u + w*i - 8, 2*u - 3*i + 2 = -i. Calculate the remainder when 1 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 5, g: 2, i: 11}. Give prob of sequence in.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 33 + 2 + -50 + 17?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 0, -b = -0*b + 5*k - 13. Suppose 5*c - 10*c = -x - 229, 155 = b*c - 5*x. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*x + 4 = -9*x, 2 = 4*n - 2*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -62528, -10, 1, 5 in ascending order.\nAnswer: -62528, -10, -8, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -0.3 (c) 0.19 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - 1) + 1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -162032536550.3 and 2.\nAnswer: -162032536548.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/7 + 92*p**4\/7 + 244*p**3\/7 - 632*p**2\/7 - 1254*p\/7 + 1548\/7 = 0.\nAnswer: -43, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/3 in -5, -15, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -7\/5*s**5 - 6 + 0*s + 0*s**2 + 0*s**4 - 10\/3*s**3. What is the third derivative of c(q) wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 - 8*w**3 - 2 - 5*w**5 + 66*w**5 - 5*w**5 - 20*w**5 + (-w**4 + w**4 + w**4)*(2*w + 0 + 0).\nAnswer: 38*w**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1 - (-855)\/105. Let m = k - 261\/14. Find the common denominator of (3\/(-54))\/((-6)\/804) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -202*z - 248 = -73*z + 1687 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86147 is divided by 6590?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2201771.9 or 15?\nAnswer: -2201771.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 213*o - 69. Let q be d(8). Let b = -1118 + q. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3 - 294*t**2 + 745*t - 1?\nAnswer: 6*t - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175.747 - -176.047. Let q be (-8)\/18 - (-4)\/6. What is the third biggest value in q, -34, l?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*15\/(-1530)*(-27)\/12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:24 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2475716 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*g**2 + 5 + 75*g**2 + 201*g**2 - 259*g**2.\nAnswer: 144*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -31\nAnswer: -86\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - -1 - (-15 + 54 + -24 + -16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(432) + -1 + 3 - sqrt(432))*-6 - -2*(sqrt(432) + ((sqrt(432) - (sqrt(432) - (sqrt(432) + -1)))*5 - sqrt(432)))))**2.\nAnswer: -84480*sqrt(3) + 698944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3530*s**2 + s - 1042.\nAnswer: -7060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 831.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.01318662 * 0.63\nAnswer: -0.0083075706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 35 = 5*g, -2*x - 3*g = -3*x + 13. Let a be (1*5)\/(-2*(-1)\/2). Calculate the highest common factor of a and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*a**2 + 4*a**4 - 6*a**4 - 29*a**2.\nAnswer: -2*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285597, -571182, -856765, -1142346, -1427925?\nAnswer: -1713502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-13)\/i*i)**35*(i\/(i\/(i*i*i*i*i**(-6))*i*i))**(-2\/27) assuming i is positive.\nAnswer: i**(-11332\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.451468 - 0.4?\nAnswer: -101.851468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 30 = -2*c, -2*m + 6 = 2*c - 42. Find the common denominator of (m\/(-8))\/(5\/(-2)) and 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 + 8*n - 4. Give m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.028 and 3.36256.\nAnswer: -6.81927168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 + 7*x**2 - 6*x - 8. Let f(k) = 12*k**3 + 13*k**2 - 13*k - 18. Give -4*f(p) + 9*u(p).\nAnswer: -3*p**3 + 11*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 92 = 4*l, -p + 3*l - 174 = -3*p. Let t be 3880\/(-80) - 6\/(-4). Let b = t + p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2146 (base 7) to base 11\nAnswer: 63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 117, 255, -6 in ascending order.\nAnswer: -6, -5, 117, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2317, 2325, 2347, 2389, 2457?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(704) + sqrt(704) + sqrt(704) + -5.\nAnswer: -10 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2864 + 2.784. Let u = -6.0703992 + d. Let n = u - -3. Round n to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28656247 - 19827.\nAnswer: -28676074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -2)\/(1*(-2)\/1). Suppose 5*o - 174 = 5*s - 29, -4*s + 4 = k. What is the remainder when o is divided by -2 - (-1 + (-12 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y + 5 = 0. Let q(a) = 10*a + 1. What is q(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 3*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*o**3 - 69*o**3 + o + 3 - 2*o**2 - 3*o to a*o**3 + z + r*o + u*o**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffooffffffofffofffof. Give prob of sequence oof.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 34, -1, -3, 15, 2 in descending order.\nAnswer: 34, 15, 12, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(3) - sqrt(3))*5 - (sqrt(3) - (sqrt(3) + (sqrt(24)\/(sqrt(24)\/sqrt(3)))**2) - (sqrt(192) - (sqrt(192) + 1))).\nAnswer: -20*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25158044911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633690?\nAnswer: 2, 5, 263369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20112 (base 3) in base 5?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 = 3*q - 8*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -89, 1\/1819, -2, 20, -0.1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**2*y**2 - 9247*w**2 - 167*w*y**2 + 92*w*y wrt w.\nAnswer: -4*y**2 - 18494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + (sqrt(100) + sqrt(25))*5 - 6*(sqrt(25) - sqrt(625)))\/((-1*-2*sqrt(320) + sqrt(320))*-5) + -3.\nAnswer: -3 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 132903, 11 in increasing order.\nAnswer: -3, 11, 132903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = g, -g - 143 = 3*g - 3*a. Let q be (28\/(-6))\/(2\/(-36)). Let m = g + q. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**4 - 3*g**4 - 2*g**4 + 18*g + 2*g**2 - 21*g to q*g**4 + o*g + k*g**2 + c*g**3 + y and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 32318?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1323 and 11\/1981854.\nAnswer: 1981854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2 + 957*x - 478 = 0.\nAnswer: 1\/2, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69793 + -117209. What is the thousands digit of (-3)\/(-5) - (-7)\/((-280)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**7 + 3*q + 0 + 0*q**3 - 1\/6*q**4 - 1\/28*q**8 + 0*q**5 + 0*q**6 + 0*q**2. Find the third derivative of d(c) wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 98\/9?\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 1, d: 2, t: 2}. What is prob of picking 1 m, 1 y, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600109?\nAnswer: 600109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -14.5 (b) -3\/4 (c) -0.3 (d) 4\/7 (e) -5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 2*g, g - 2 = -4*k + 1. Let i = -10.6 + 10.7. Which is the closest to k? (a) i (b) 2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 63, 146, 279, 480, 767?\n\"Answer: 3*m**3 - 2*m**2 + 36*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -3.2. Let i = t + 3.5. Let z = -61 - -181\/3. What is the second biggest value in 0.4, z, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**4 - p**2 + 2*p + 1. Let s(v) = 4*v**4 + 7*v**3 + 5*v**2 - 10*v - 5. Let z(r) = 5*j(r) + s(r). Let z(q) = 0. What is q?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102 + -4)\/(-7) - 48\/(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -204*y - 97*y**2 + 4*y**3 + 201*y + 94*y**2. Let d(u) = u**3 + u**2 + u. Calculate 3*d(m) + n(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858.807 microseconds to seconds.\nAnswer: 0.000858807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2*y**3 + 2*y**3)*(-2*y + 2 - 2) - 2*y**4 - y**4 + 4*y**4 + 3*y**4 - 2*y**4 + y**4.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6 - (-8811)\/(-363).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 - 5*g**2 + 32*g - 2*g**4 - 6 + 260*g**3 - 260*g**3 + 3*g**2 in the form b*g**3 + k*g**4 + u*g**2 + r + t*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18183, -18005, -17823, -17637, -17447, -17253, -17055?\nAnswer: -16853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(2))**2 - (sqrt(32) + sqrt(2))*-2.\nAnswer: 10*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41329 is divided by 136.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**3 - 2*k + 5. Let x(r) = -6*r**3 + r - 4. Suppose 4*b - 2 = z + 7, 3*z + 19 = 4*b. Give z*x(y) - 4*m(y).\nAnswer: 2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 548633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20587704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80254 or 9229094\/115?\nAnswer: 9229094\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/9 - 8*t**4\/9 - 140*t**3\/9 + 320*t**2\/9 + 446*t\/3 - 168 = 0.\nAnswer: -7, -3, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680770?\nAnswer: 2, 5, 7, 13, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**26*u)\/u*u)\/u)\/(u**(2\/61)*u))\/(((u**0*u)\/u)\/(((u**(4\/3)\/u)\/u)\/u)))**3 assuming u is positive.\nAnswer: u**(4264\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 - f - 1. Let d(t) = t**2 - 24*t + 25. Let b be d(23). Let l(z) = 3*z**3 - 3*z**2 - 5*z - 2. Determine b*a(x) - l(x).\nAnswer: -x**3 + x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 258*h**3 + 1629*h**2 - 2472*h + 1104.\nAnswer: -3*(h - 4)*(h - 1)**2*(h + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 2 + 1822*t**3 + 1814*t**3 - t**4 - 2*t**2 - 3627*t**3 in the form z*t**2 + o*t**4 + k*t**3 + u + f*t and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156018 and 0.063.\nAnswer: 9829.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*s + 1695*s + 0 - 850*s + 0.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 1\/4043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4 - 1. Let m = o + 4. Suppose 8 = 2*d - 2*b, -m*b + 4*b + 11 = 4*d. Solve 0 = -d*q + 6*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i**2 - i + 1. Suppose -6*x + 6 = -3*x. Calculate the remainder when u(x) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 > 17632\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1972 + 3126675*m - 3126675*m + 913*m**2 with respect to m.\nAnswer: 1826*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(475) + -5.\nAnswer: -50*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -179443b (base 13) in base 5?\nAnswer: -3432124143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64336006589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87857, 87856, 87855?\nAnswer: 87854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**3 + 3 + 55*s**3 - 32*s**3.\nAnswer: s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 5. Let z(b) = 1876*b. Give z(y(m)).\nAnswer: 5628*m + 9380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123787, -247568, -371347, -495124, -618899?\n\"Answer: s**2 - 123784*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 119*w**2 + 14*w + 5. Suppose 0 = 3*f - 2*p - 8, -4*f + 2*p + 18 - 4 = 0. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 54*x**3 + 183*x**2 - 216*x + 84.\nAnswer: 3*(x - 14)*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119, -140, -165, -194, -227?\n\"Answer: -2*x**2 - 15*x - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19877779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17)**(-6\/11)*(z**34)**5 assuming z is positive.\nAnswer: z**(1768\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628681603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(1872) + sqrt(1872) - sqrt(1872)) + -1 + 3 + 0 + sqrt(91)\/((sqrt(21) - sqrt(21)*-1)\/sqrt(3)) + -3)**2.\nAnswer: 125*sqrt(13) + 8225\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4676488 = -4*u - 944360, -u + 933011 = 4*a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/3)\/(-208))\/((-3)\/36).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2815.9325 and -0.15.\nAnswer: -2816.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 19. Suppose 5*u + 74 = -k*p - 162, -3*p - 4*u = 178. Does 3 divide ((-1)\/(3\/(-10)))\/((-12)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*z + 251*z = 33*z + 22608 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13357 = -27*m - 467*m - 209*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 13 + 26 - 50 - 96 + u**2 as a*u + p + l*u**2 and give p.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(-2*(-6)\/(-95148)). Let v(u) = 2643 + u**2 - w + 11*u. Give v(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**(-25\/2)\/((w**6*w)\/w**(-6)) assuming w is positive.\nAnswer: w**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/167745 and 27\/145379?\nAnswer: 2180685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(189)*5 - (sqrt(126)*1)\/sqrt(6))\/(sqrt(96)\/sqrt(2) - 2*sqrt(147)) + -1))**2.\nAnswer: 126*sqrt(7)\/5 + 3312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:05 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, and 1 h when three letters picked without replacement from {a: 3, h: 2, m: 1, x: 1, t: 5}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 2*o**2 + 3*o - 3. Let s be p(2). Suppose -17 + 74 = s*z. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55685 divided by 1?\nAnswer: -55685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - 0*d - 2*d, 0 = 5*j - 4*d - 21. Let u be 8\/(-28) + 62*(-6)\/21. Let o = u - -18. Solve 3*w - 11 - j = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-65)\/(-6) + 0. Let o = 55\/6 - m. Which is the second smallest value? (a) -4 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 11, q: 2, x: 1, l: 2}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 - 2*o - 1. Let b(t) = t**3 - 5*t**2 + 6*t - 6. Let u be b(4). Is w(u) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0366, -2, 169\/5?\nAnswer: 169\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 2, c: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -0.2, -0.4, -18, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1088)*-1 - sqrt(1088) - (sqrt(1088) + -2 + 4))*5 + 5)**2.\nAnswer: -4800*sqrt(17) + 245200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -12 - (-1 - (1 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -4\/9 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 18, 28, 44?\n\"Answer: 3*q**2 - 5*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 215952990 divided by 3926418\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 2.067 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(5 + sqrt(48)) + sqrt(336)\/sqrt(7) + 1)*2)**2.\nAnswer: 1056*sqrt(3) + 2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2268 and -5\/138348?\nAnswer: 138348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9304 and 14?\nAnswer: 65128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 3*s + 3024. What is the greatest common divisor of 98 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 302*j**3 + 126*j**2 + 11*j + 4. What is d(-1)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 3*u + 20. Let g(v) be the first derivative of v**3\/3 - v**2\/2 + 7*v + 2972. Calculate -11*g(y) + 4*z(y).\nAnswer: -3*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, 9, 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-1 + (-18 - (-5 - 3) - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/30 - 8*d**3\/5 - 112*d**2\/5 + 1514*d. Determine x so that z(x) = 0.\nAnswer: -4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2731*d + 16379. What is h(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1771 and 15400.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1650166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34\/53 - -9695\/159. Let d = -61 + i. Let f = 3 + -7. What is the nearest to d in -2, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*h**3 - 14*h**3 + 29*h**3)*(1609*h**2 + 1630*h**2 - 3343*h**2).\nAnswer: 104*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 4535\/5 - -3. Let h = -102 - b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9775\/2670 + -3 - (-6)\/(-9). Let u = d - -45\/89. Find n such that 1 + 1\/2*n - u*n**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*l*y - 202*k*l - 435*k*y**3 - 233*k - 2088*l*y**3 + 2*l wrt y?\nAnswer: -2610*k*y - 12528*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416549 divided by 49.\nAnswer: -8501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30708)\/3412 + (-2 + 61 - 2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73\/148 + -1\/148. Let f = 54\/11 + -292\/55. Let u = -82 - -78. Which is the second biggest value? (a) q (b) u (c) f (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*h**4 - 12*h + 2*h**2 + 13*h - 4*h**2 to u + f*h**2 + z*h**4 + a*h + s*h**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 104*t**2 + 4. Let w be f(-3). Suppose 2*s = 12*s - w. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17126790 and 75357876?\nAnswer: 376789380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 399 (b) -4 (c) 5\/6 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/21)\/((-16)\/(-56)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 34, 54, 92, 154, 246, 374?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v*v\/(((v*((v**14*v)\/v)\/v*v)\/v)\/v))\/v*v))))\/(v\/(v*v**(2\/13)*v)))\/(v\/(v\/(v**(-2\/37)\/v))*v**(-9)) assuming v is positive.\nAnswer: v**(11163\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 1 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 divided by -389730?\nAnswer: 188\/194865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97634917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36861579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 129, 249, 369, 489, 609?\n\"Answer: 120*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90258 + 24709 = -11*h. List the prime factors of h.\nAnswer: 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1241 or -1?\nAnswer: -1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 + 1236*b**2 + 127308*b + 4370908 = 0 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25085810 divided by 2508581?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 16*l - 90 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - bd92?\nAnswer: -bd95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - ((-1788)\/(-2))\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/5 + 13*t**4\/5 - 27*t**3\/5 - 41*t**2\/5 + 116*t\/5 - 12 = 0. What is t?\nAnswer: -2, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:20 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 + 9 = 0. Suppose 0 = -i - d*i + 260. Suppose -4*y + 11 + i = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -636 + 1023. Suppose 3*o = -4*y + 14 + t, -y = 3*o - 404. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(-4)\/(-108) + (-57)\/(-9). Put 2, c, -41, -4 in decreasing order.\nAnswer: c, 2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let g be m(4). Let x = -3 + 2.7. Let h = x + 0.1. What is the nearest to -1 in g, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 89 + 40*j)*(0 + 3 - 4) - 3*j - 3 + 3 + (0 - 1 + 3)*(0 + 0 - j) - 2 + 2 + 5*j.\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - ((-377)\/(-98) + -2) and 91\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332013203 (base 4) in base 2?\nAnswer: -111110000111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -61. Is 4 a factor of (1 - (58 - 2))\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4*k*w + 41976*j**2*w + j*k*w - 4*j*k + 2*j*w - 6*j + 1187*k wrt j.\nAnswer: -12*j**2*k*w + 83952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10704192.\nAnswer: 2, 3, 197, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 68.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8. Let a(u) = -u - 6. Let h(v) = 4*a(v) - 3*x(v). Let l(n) be the second derivative of -5*n**4\/12 - 2*n. Determine l(h(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -580880?\nAnswer: 7\/145220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z + 45. Let a be 9*(-2 - (-21)\/z). Suppose 5*d + x - 102 = -a*x, 4*x = -4*d + 80. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4052533 - 25454?\nAnswer: -4122431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.43 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose w*k = -2*k + 132. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 16*v + 128.\nAnswer: (v - 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)*u)\/u*u\/(u\/(u*u**(1\/7)\/u))*u*u)**(-1\/32)\/((u*(u**(2\/3)*u)\/u)**(2\/35)*u\/(u*u**(1\/9))*u*u**(-8)) assuming u is positive.\nAnswer: u**(14513\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-15)*30\/(-4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r**(-9\/4)*r*r)**(3\/8)*((r*r*(r*r*r**(-2\/9)*r*r)\/r*r)\/r)**(-13\/4)\/(r**(-2\/5)*r)**(-26) assuming r is positive.\nAnswer: r**(5369\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72963 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 178817604732.\nAnswer: 178817604731.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*w - 3 + 24, 0 = -4*w + j - 21. Let a(z) = -1 + 19 - 29 - 7*z. What is the tens digit of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3044919 meters to kilometers.\nAnswer: 0.0003044919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.4 * 0.5\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, n: 3, k: 3, z: 1, u: 1, i: 5}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0351965585 to five dps.\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 494 + -714. What is the lowest common multiple of 4 and h\/(-80)*16*1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*l + 628 + 824 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-11))\/(12\/(-84))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + -2.7. Sort -3, 2, v in decreasing order.\nAnswer: 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-1 + 4 - 16\/6). Let z(t) = 2*t**2 - 4*t - 5. Let p be z(-9). Suppose h*k + 1707 = -p. Round k to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11036796 is divided by 274?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from nsssnnsnssens?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1572 - -1572.731. Let t = x - 0.231. What is the smallest value in 0.07, t, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59995 is divided by 714.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*((-1 + 0 + sqrt(847))*-2 - (4 + sqrt(847)*-1 + sqrt(847) + sqrt(847) + -3)) + 2)**2.\nAnswer: -990*sqrt(7) + 190584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let a(g) be the third derivative of -g**4\/4 - 7*g**2. Let x(t) = -2*a(t) - 14*n(t). Let u(z) = 12*z. What is x(u(f))?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9397 is divided by 193?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3575317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-2 - -1) - -2. Suppose -2*t + 4 = -0*t. Solve -1 + o*d**2 - d**2 - t*d + 4*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-20)\/8 - 1. Which is the second smallest value? (a) t (b) -1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 7*t**2 - 6*t**2 + 3 - 8*t. Let k(a) = a**2 + 3*a - 7. Let l(p) = 3*p**2 + 5*p - 14. Let v(o) = 9*k(o) - 4*l(o). Calculate 7*f(x) + 3*v(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*21\/3 - 2. Suppose u*s - a + 30 = 4*a, 0 = 5*s + a. Let j(f) = -5*f - 4. Let t(y) = -y + 138 - 344 + 205. What is s*j(c) + 3*t(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 61 (b) 850 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -5*u + 9*i - 6*i, -5*u + 184 = 2*i. Let o = 11 - 1. What is the smallest common multiple of o and u?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -34*t**3 + 3*t**2 - 2*t. What is v(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11959, -11953, -11947, -11941, -11935, -11929?\n\"Answer: 6*j - 11965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 29 - 9 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*t - 2*t. Calculate the remainder when t is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 - 14*g**2 - 14*g - 73. What is z(-9)?\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4*v - 9*g + 23, 4*v + 5 = -g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4078, 32287, 108862, 257989, 503854, 870643, 1382542, 2063737?\nAnswer: 2938414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -4 + -3 + 40. Let h = 33 - o. Let j(g) = -2*g**2 + g + 7. Let l be j(h). Solve 2*k = l*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*q - 5*v, q - 4*v - 6 = -0. Let m(r) = -r**3 - 5*r**2 + 6*r + 2. Let k be m(q). What is the units digit of k\/3 - 88\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -57*o**2 + 2217*o - 4007. Calculate w(37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 - 160 = -3*b. Let x = 215 - b. Let w = -3 - -6. Solve 1 = -4*d - w, -d = -x*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1812 and 1920?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 13 + 1 + -2. Suppose 14*c + 56 = 182. Suppose -n - c = -3*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 64.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 20. Suppose u + 5 = -m. Let y = m - -16. Solve -b + 3*r - y = 0, -5*b + 2*b = -r + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 4. Let c be m(-4). Let p be ((-2)\/(-10))\/((-7)\/((-49)\/6)). Let b = p - -4\/15. Which is greater: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*y**3 - 340\/3*y**2 - 448 - 1348\/3*y.\nAnswer: -(y + 2)**2*(y + 336)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 619011836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5658, -5638, -5618, -5598, -5578?\n\"Answer: 20*u - 5678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 2)*(2 - 5 + 4 - 237*l - 49*l) to f*l + j and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -8*d + 15, -10 = -2*k + 4*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o - 8*o - 4*h, 0 = -o + 2*h - 3. Let u(y) = y + 1. Let v(l) be the first derivative of -2*l**2 + 3*l + 77. Give o*u(i) - v(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2))**(-7) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4382)\/(-210) - (-6)\/45. Solve -y + 22 = f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*2)\/(sqrt(30)\/(sqrt(54)\/sqrt(9))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from umhmu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 + 19\/5. Let a(i) be the second derivative of -4*i - 1\/3*i**f + 0*i**3 + 0*i**2 + 0 - 1\/2*i**5. Solve a(r) = 0 for r.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -34. Sort -5, 5, h, 2 in descending order.\nAnswer: 5, 2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6207450 divided by 75?\nAnswer: -82766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*o - 126, o + 97 + 17 = 3*g. What is the remainder when (-1094)\/(-6) - (-150)\/225 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8516670 and 7\/3.\nAnswer: 8516670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 48*t + 208. Let j be x(-5). Let q(r) = -r**3 - 8*r**2 - 11*r - 10. Determine q(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/(-55)*240\/2. Let r be 2\/3*x\/(-64). Which is smaller: r or 16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4176 divided by 36.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371628.\nAnswer: 2, 17, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z - 6*h, -22*h + 23*h = 2*z + 4. What is the nearest to z in 8, 3, -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20360, -20363, -20366, -20369, -20372, -20375?\n\"Answer: -3*q - 20357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = -0*r. Let d(w) = -6*w**2 + w - 5. Let a(c) = c**2 + 1. Let x(l) = r*a(l) - d(l). Determine x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 - 3*j**4 - 1060*j**3 - 644*j**2 - 8 wrt j.\nAnswer: -240*j**3 - 72*j - 6360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t**(4\/11)*t)\/((t**(4\/5)*t)\/t**(-7)))**24 assuming t is positive.\nAnswer: t**(-3216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 11:28 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 1:27 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and (18724321\/29502)\/(-49) - -13.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1630287031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from {l: 1, q: 1, m: 2, z: 1, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 11*p**2 - 8*p + 6. Calculate the remainder when 77 is divided by z(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34747 is divided by 518?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**33\/(f\/(f**(2\/3)*f))**(-5\/2) assuming f is positive.\nAnswer: f**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 4*l**2 + 5*l + 2. Give x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 625 + -386. Let v = 243 - t. Let y = -3 - -2.8. What is the biggest value in 6\/7, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r = 10423 - 11052 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*l = 6, -3*n + 6 = -2*l - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*h + 63*h + 2*h**2 + 4*h**2 + 15*h**3 + 41*h**3 as w*h**3 + j + v*h + s*h**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 5*f - 5. Calculate w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 11102272?\nAnswer: 33306816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70078969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/190 and 88\/75?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276\/5 - -55. Let r = -1308 + 1307. Which is the closest to r? (a) -3\/4 (b) -4\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 42, 75, 126, 201, 306?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/18 + (-17)\/(-153). Suppose f*b - 10*b = -1140. What are the prime factors of b?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4\/5, -0.4, -0.2, -19.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 0.005, -1\/10 in decreasing order.\nAnswer: 0.005, -1\/10, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3319228 kilometers in meters?\nAnswer: 331.9228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2104366 (base 7) in base 6?\nAnswer: -5234224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + 2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3886, -7803, -11728, -15661, -19602, -23551, -27508?\nAnswer: -31473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + -2) - (5 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25955.554 rounded to the nearest 100?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 5.4. Let k = -5.035 - w. Round k to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115961\/12470 - 1\/1247. Find the common denominator of s and -34\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 990 = -15*d. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 14. Let g = r + -12. Let v = 44 - g. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4897294?\nAnswer: 2, 2448647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-4*s - 4 + 4)*(53*s + 68*s + 0*s) + (-3*s + 5*s - s)*(0*s - s + 2*s).\nAnswer: -483*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 346, 687, 1028, 1369, 1710, 2051?\n\"Answer: 341*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let r be 1 - ((-10)\/(-3) + a). Let m = -0.57 - -0.27. Is m greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/5)*b*b*b\/(b\/(b*b*b**(-14)))*b assuming b is positive.\nAnswer: b**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + -1.97. Let r = 3 + f. Let z = 7 + -12. Sort r, 0.5, z.\nAnswer: z, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-161)\/21 - -7)\/(3940\/1182)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15849 (base 10) to base 9\nAnswer: -23660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7001 - 0.6001. What is the closest to s in -4, 66\/31, -2, 3?\nAnswer: 66\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 + 3*x**4 - 4*x**4 + 14*x**4 + 9*x**4 + 31*x**4 + (5*x + 0*x - 4*x)*(2 + 3*x + 5 + 2*x**3 - 2*x).\nAnswer: 59*x**4 + x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 349248516 and 3?\nAnswer: 349248516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6971 - 18.\nAnswer: 6953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roc when three letters picked without replacement from {n: 1, r: 2, o: 2, q: 2, c: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let z = -0.5757 - -0.1757. Which is the nearest to y? (a) -1\/3 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -29) + 0)*(-24)\/(-48). Differentiate 35*r**2 + 26 - f + 72 + 12 - 2*r wrt r.\nAnswer: 70*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-28)\/(-588))\/1*-81.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -13, -40, -87, -160?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*i**3 - 604*i**3 - 322*i**3 - 1944*i**3.\nAnswer: -3285*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.011 in 4, 1, 10, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + w. Let b be z(-2). Suppose 40 + b = 3*y + 2*r, 3*y = 5*r + 43. Suppose -2*n + y + 14 = 0. What is the remainder when 57 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-3 + -3)\/(1155\/22). Determine n, given that 16\/7*n**2 - 10\/7*n**3 + 2\/7*n**4 - j*n + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*l**2*w*y**3 - 16*l**2*y**3 - l**2*y**2 - 2*l*w**2 - 1 wrt w?\nAnswer: -150*l**2*y**3 - 4*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5476\/47267?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 + 182. Let l = -1022 - -1070. What is the highest common divisor of d and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 12*z**3 - 18*z**2 - 8*z.\nAnswer: -2*z*(z + 1)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1547\/224039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqxxlxn. Give prob of sequence kn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.598993 + -10.612. What is y rounded to 4 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 3*a - 6. Let p = -185 - -438. Let c be p\/55 - 1\/(10\/6). Determine z(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgt when three letters picked without replacement from {h: 2, t: 1, w: 2, g: 1, u: 5, q: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 60 + 16*j + (-2 - j + 2)*(-1 + 1 + 1) as h + t*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 4033?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from wwynwwnzw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -26. Let z = x + 29. Suppose 4*s + 2 - z = 0. Solve q - s*y + 1 = 0, 0*q + 5*y = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 297\/63 - (-4)\/14. Solve -7 = x - y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 2, -8, -3 in increasing order.\nAnswer: -8, -3, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842720 is divided by 331?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 3, c: 1, u: 4}. Give prob of picking 1 o and 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 + 8 = 0. Let i(r) = -9*r**2 + 1. Let c(k) = -8*k**2 + 2. Let d(u) = s*c(u) - 4*i(u). What is the derivative of d(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 3538785?\nAnswer: 3538784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75257665 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5159 divided by -11?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 56 = -96. Suppose 46*h - 24 = s*h. Let g = -14.6 - 1.4. What is the smallest value in g, 1, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/((a*a**(-6))\/a)*a**8\/a**9)**40 assuming a is positive.\nAnswer: a**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171964355?\nAnswer: 5, 131, 262541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1872*w**2 + 7*w + 7. Let u be r(-1). Suppose 0 = -10*k + u + 478. Is 236 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5060\/300 - (-2)\/15. Suppose -22*k + w*k = 4*s - 608, 0 = -5*s - k + 739. Calculate the smallest common multiple of 8 and s.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3392.514 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 44, 40, 36, 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89004616.7037746 - -114092434.703775. Let l = b - 25087786. Let o = 32 - l. Round o to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:21 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + 2*sqrt(11))**2*5.\nAnswer: -450 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in 1\/2, -2, -4, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 338\/87 - (-20)\/(-5). Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.279 and -0.7.\nAnswer: 1.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -8*o - 11. Let v be (-12)\/9*219\/o. Let m = -71 + v. Is m a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (18 + -17 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-25)*21)\/(3\/30). Let g be (24\/y)\/((-1)\/(-28)). Solve 0 = -g*o + 9*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214 - -322. Is 5*(o\/5)\/2 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 12. Let z be q(8). Suppose z*n - 5*d + 6 = 39, -4*n = 3*d + 7. What is the remainder when 2 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -704 + 713. Factor 259*u**3 - t - 18*u**2 - 259*u**3 - 24*u + 3*u**4.\nAnswer: 3*(u - 3)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 74 - 26. Let y(b) = b + 9. Let x be y(r). Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 405, 847, 1351, 1917, 2545?\n\"Answer: 31*b**2 + 349*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, 3385, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17443*p**2*q - 14*p*q - 8*p - 25*q + 3 wrt p.\nAnswer: 34886*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 132, 48, -82, -252, -456, -688?\n\"Answer: d**3 - 29*d**2 - 4*d + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96116.54 centuries to decades.\nAnswer: 961165.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.719 and -0.2.\nAnswer: 0.3438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.1. Let s = 167.1 + -167.3. Which is the nearest to s? (a) r (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5fd - 2a7?\nAnswer: -8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40120931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*n - 4*w, 0 = -n - 3*w + 3 - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-50)*-4*(-5)\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4259 - 664*g - 4259 to l*g + b and give l.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s + 62. What is the units digit of c(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*m + 62 = 0, 69562*a - 69555*a = -3*m - 61 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -1. Suppose 0 = -4*m + 2*h + h + n, -4*h - 4 = 0. Calculate the remainder when 46 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + f + 0 = -1, 3*m - 5 = 5*f. Let u(r) = 0*r - 2 + m + 4 - 3*r. What is the tens digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7959 + -5392. Suppose -4*d - 2*b = 3520, 3*d + u + 73 = -b. Round d to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 2, m: 4, q: 2, f: 2, b: 2}. Give prob of picking 3 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330333 (base 4) in base 9?\nAnswer: -11867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (63\/6)\/((-5)\/(-10)). Let r(v) = 7*v - 39 + 16 + n. Is 22 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034*-0.020526.\nAnswer: 0.000697884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvwwvvvwv. Give prob of picking 2 w and 1 v.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 83.6. Let i be (-2)\/(-2) + (-147)\/36. Let b = i + 23\/6. What is the nearest to 2 in a, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 343695 and 16005?\nAnswer: 33338415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 2*a + 18, a + 18 = 5*g - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 36 = -3*x - 4*b, -5*b + 57 = 4*x. Suppose 23 = 5*l - 3*u, -13*u = 5*l - 11*u - 18. What is the remainder when x is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1323)\/(-420))\/((-11)\/(836\/(-57))).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -5, 5212 in increasing order.\nAnswer: -5, -1, 2, 5212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -7*l**2 + 1. Let j be v(-1). Suppose -3*g = -5*g - j. Let c(f) = -f**3 - 6*f**2 + 7*f + 5. Calculate c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 0 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-84))\/((-12)\/(-130886)). Let c = i - 3899. What is the common denominator of -19\/5 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:52 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:44 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4809931*y**4 - 15968482*y**2?\nAnswer: 115438344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 1. Let k(p) = -p**2 + p + 3. Let r(w) = 12*w - 30. Let m be r(-6). Let i = m - -98. Determine i*s(c) - k(c).\nAnswer: c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 20 = -q - 0*q, 5*k + 10 = -3*q. Find the third derivative of -2*x**4 + x**3 - 9*x**2 + q*x**2 - x**3 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**2\/2 - t - 1. Let l(z) be the second derivative of z**3\/3 - z**2 - 61*z. Calculate l(x) - 3*v(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -104. Let m(z) be the first derivative of 3 + 0*z + 2\/3*z**t - z**2. Find the second derivative of m(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/4 + (-2)\/(-4). Let z(k) = -k**2 + 7*k - 4. Let t be z(i). Suppose 6*l - 8 = 2*l. Solve -t*o = 8 + l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*t + t - 1, -t - 2*n = 1. Let k(q) = -4*q - 1. Let y be k(t). Let s(z) = 12*z - 2. Is 17 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 - b**3 - 3*b**2\/2 + b + 101. Give f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:19 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 20 in ascending order.\nAnswer: -3, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaazaaz. Give prob of sequence zzaz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 184, 193, 202, 211, 220?\n\"Answer: 9*l + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(-3 - 3479\/(-1162)). Differentiate 198 - q - 100 + 44*v**2 with respect to v.\nAnswer: 88*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 1. Let l be -6 + -3 + 0 + 4. Let w(x) = -x**2 + 2*x + 5. Let v(y) = l*a(y) - w(y). What is the second derivative of v(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = x, -c + 7*x - 9*x = -11. Let h = 249 + -212. What is the remainder when h is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -22.5 - 16.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q**2 - 88*q**2 + 13*q**2 - 7*q**2 + 5*q**2 + (-39 + 4*q + 39)*(-q - 2 + 2).\nAnswer: -69*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/6 - 5*q**4 - 35*q**3\/2 - 10*q**2\/3 + 26*q = 0. Calculate q.\nAnswer: -26, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 6*v - 3. Let h be n(5). Suppose o - 5*w = -w + 23, o = 2*w + 13. What is the second derivative of -3*t**3 - t - h*t + 0*t**o wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 2*k + 18. Calculate l(-9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y - 18793 + 53891 + 43494. Is y bigger than 4912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from {y: 2, v: 2, f: 1, x: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22*4\/(-32) + 400\/(-1600). Let t be (0 + 1)*(-16 + 2). Let b be (-32)\/t + -2 + 0. What is the closest to b in -0.5, x, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -1\/17, -0.1, 1 in descending order.\nAnswer: 1, 0.4, -1\/17, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*w**5 + 7370720*w**4 + 165416474*w**3 + 66530526*w**2 - 24444112*w + 1691096 = 0. What is w?\nAnswer: -22, -2\/3, 1\/8, 19217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096926 plus -60220055?\nAnswer: -60220055.096926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 0*r - 32 = r + 4*r, 140 = -58*r - 9 - 257 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(1\/4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76342000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201, 2266, 4041, 6526, 9721, 13626, 18241?\nAnswer: 23566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i - 26. Let l = -735 + 743. Determine b(l).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 122. Suppose 3*u = 8*u - 135. Let s = -1 + u. Calculate the remainder when s is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-506)\/(-6) + -23*31\/2139. Solve r = 5*q + 16*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {p: 2, f: 9, x: 8}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7713687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 290\/3 + -98. Suppose 10*g = 11*g - 8. Let a be g\/22*(-33)\/(-6). Put -0.4, -1, a, x in increasing order.\nAnswer: x, -1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*v - 2*a**2 - a*v - 64449*v - 559394 with respect to v.\nAnswer: a**2 - a - 64449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooozoozoqooooo. What is prob of picking 2 z?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 12*a - 27. Let x be j(8). Is (x - (-18)\/8)*23*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -15 + 1 - 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n. Let c(w) = -49548177*w. What is h(c(g))?\nAnswer: -346837239*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - -0.12. Let w = y + -0.33. Let p = -1979\/7932 - 1\/1983. Which is the second biggest value? (a) p (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3171498*j**2*l*x**2 + 2*j**2*l*x - 3310198*j*l*x - 38*x**2 wrt j?\nAnswer: 6342996*l*x**2 + 4*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172171*k + 63 = -172180*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4535 is divided by 90?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from oqooooojjojhovhojo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Let d be 147\/a + (-1)\/2. Let n = -1350070 + 1350238. What is the greatest common divisor of d and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209353463.\nAnswer: 11, 47, 557, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 173?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 277475, 554950, 832413, 1109858, 1387279, 1664670?\n\"Answer: -s**3 + 277482*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.87 - -0.17. Let u = 0.63 + n. Let m = u - -0.07. Which is the second smallest value? (a) 3 (b) 2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103524 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 795 and 17808?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221231 (base 5) to base 13.\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2, 1\/3, 0.1, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364.9824 - 0.0176. Let n = j - -257. Let v = 108.217 + n. What is v rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/5 - 20*x**4\/3 - 86*x**3\/3 - 44*x**2 - 2*x - 317. Factor o(a).\nAnswer: 4*(a - 22)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/27)*i*i*i**(-2\/11)*i*(i**2\/i)\/i*i*i**(-7)\/i)**(-2\/79) assuming i is positive.\nAnswer: i**(2440\/23463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 348169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.044309ml in litres?\nAnswer: 0.004044309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 4*j. Suppose 0*x - 3*x = h - 13, 2*h + 1 = 3*x. Let u be i(h). Suppose -3*m + 1 + 5 = 0. Solve 0*d - d - 5 = u, m*c + 3 = -d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143250115 (base 6) in base 11?\nAnswer: 1742a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 995687 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(18\/(-12)*1)\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/312*1*(64 + 2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, e: 6, j: 10, z: 2}. What is prob of picking 4 j?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*870\/(-580).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n**(-1\/17)\/n)\/n))\/n**(-1\/4))\/(n**(2\/7)\/n**4))**11)**40 assuming n is positive.\nAnswer: n**(367730\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l = -8326 + 184502. Calculate the greatest common divisor of l and 546.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:04 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 1 - 2*t - 2*t)*(3 - 6 + 0) + 36*t - 68*t - 43*t.\nAnswer: -66*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*v + 38, 0 = -2*v - 2. Suppose -13*i - x = -48. Suppose 0*z + 9 = 5*z - n, 4*n = 3*z - 2. Solve z*u + 15 = -i*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(539))*4 + -1.\nAnswer: -112*sqrt(11) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -139. Let d be 1330\/u + (-6)\/39. Suppose -3*o = -63 + d. Solve -b = -5*b - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8484.226ml?\nAnswer: 8.484226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.4305 from 0.1.\nAnswer: 9.5305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by 34\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, e: 5, q: 2}. Give prob of sequence efe.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -220, -345, -478, -619, -768, -925?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i + 8. Suppose -3*f - 42 = 4*y, 0 = y - 4*f + 3 + 17. Let b be s(y). Suppose t = -b + 679. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 18*v**2 + 15. Calculate the least common multiple of 50 and n(18).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4615 + 4617. Let k = -3 + 2. Which is the second biggest value? (a) 4 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 10*s - 1\/6*s**4 + 0 - s**2 + 1\/6*s**3. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.0489 + 0.0489. Let t = 4.01 + -0.01. Let i = 14 - t. What is the third smallest value in w, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -493\/2, -10\/213?\nAnswer: -10\/213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-9))*k*k*k*k**19*(k*k**(-16))\/(k**11*k))**(2\/79) assuming k is positive.\nAnswer: k**(8\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -1.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17835 and 380799?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((7 - 11) + 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/13*((-376548)\/68)\/(-3). Let z = -3381\/13 - b. Let c = -112409\/680 + z. Calculate the common denominator of -139\/12 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1942.459 years?\nAnswer: 19.42459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2\/2 - 7239*g - 388719\/2 = 0. What is g?\nAnswer: -4799, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631 is divided by (3\/18)\/(11\/22) - 562\/(-6)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 11*i**2 + 86*i - 767. Let b be g(13). Let m = 7 - 4. Put -3, m, b in decreasing order.\nAnswer: b, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1 - -5) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105, 1, 11, -2, -4.\nAnswer: -4, -2, 1, 4, 11, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -7. Suppose p*o = 2*o - 15. Put o, 6, 2 in descending order.\nAnswer: 6, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1213*f + 1214*f - 6, 4*f - 12 = 3*x. Let t(i) = 16*i + 15. Calculate t(x).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -0.2, -1\/3, -3, 2\/3 in ascending order.\nAnswer: -3, -1\/3, -0.2, -0.19, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 55 = 2*h. What is the highest common factor of h and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:40 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 4. Let i(j) = -4*j + 4. Calculate 4*i(t) - 5*w(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 - 3*l. Let p(y) = y**2 + y. Let d(m) = -n(m) - 3*p(m). Let i(s) = -15*s - 13. What is i(d(b))?\nAnswer: -30*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 2, r: 4}. Give prob of sequence br.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 + 1)*(-4*a - a + 6*a) + 5 - 5 + a + 0*a - a - 7*a)*(3*a - 4 + 4) in the form y*a + t + h*a**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2633872530.\nAnswer: 2, 3, 5, 19, 31, 149059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 0*k**2 + 0 - 7\/2*k**4 - 25*k + 2\/7*k**7 + 0*k**5 + 0*k**6 + 0*k**3. What is the third derivative of i(l) wrt l?\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 22. Let x be 234\/m - (-6)\/(-10). Solve -3*l = 4*f, -7*f = 5*l - x*f + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.1 times 0.4?\nAnswer: -32.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 8*a**2 + 12*a + 13. Calculate p(-7).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11267\/7 - 1610. Which is the third smallest value? (a) 4 (b) y (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -277*i + 258*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-21)*(-8)\/96*(-49)\/(5145\/140)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 155 - 141. Let s(t) = 13*t + 2*t - 2 - y*t. What is s(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206 divided by 2?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 1764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1727 + -1661. What is the closest to 2\/5 in -1\/10, -4, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 3 (b) -0.08 (c) 61\/6 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -335, -1 in decreasing order.\nAnswer: 3, -1, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 267828 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13888 and 341024?\nAnswer: 148004416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -457*y**2 + 135*y**2 - 10*y**3 + 5*y**3 in the form s*y + z + n*y**3 + b*y**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0196 and -0.5.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 + 5*w**2 - 12. Let h(n) = -4*n**3 + 6*n**2 - 13. Let v(g) = -3*d(g) + 4*h(g). What are the prime factors of v(7)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1607 - 1086. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let k(x) be the third derivative of -4*x**5\/15 - 7*x**2 - 1. Determine k(j(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 2*b**2 - 4*b + 4. Calculate the remainder when l(6) is divided by ((-15)\/4)\/(3\/(-20)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95)\/((-253)\/(-22) + -12). Solve 14*f - 52*f - o = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 6*i - 9. Suppose -5*b + 5*h - 50 = -0*h, -2*h - 29 = 5*b. What is l(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 124\/8167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 8. Let s be a(6). Suppose 0 = -4*k - 5*y + 28, -4*y = -9*y + s. Suppose p - 20 = -3*p. Solve -k*u - 13 = -p*v, 2*v - 4 = -0*v + 2*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -715? (a) -5 (b) -3\/5 (c) -3731 (d) -1 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 4. Let s(w) = 6*w**2 - 5. Let y(g) = 5*c(g) + 4*s(g). Let j(z) = 66*z - 23. Let n(x) = 7*x - 7. Let t(m) = -j(m) + 3*n(m). What is t(y(p))?\nAnswer: 45*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 1\/30*l**5 + 0 - 11\/6*l**3 - 6*l**2 + 0*l + 1\/360*l**6 + 1\/8*l**4. Let t(f) be the first derivative of g(f). Factor t(o).\nAnswer: (o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1849*q**2 - 3*q - 2. Let x(f) = -f**3 + f - 2. Let g be x(0). Let m be (g\/(-3))\/((-3)\/9). Let b be j(m). Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10399173.\nAnswer: 3, 47, 131, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 144 = 0. Suppose -p - 72 = -2*d, 56*d + 68 = 59*d + p. Calculate the smallest common multiple of q and d.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -268980.6974467286 + 4.1978907286. Let r = -268977 - t. Let u = -0.5 - r. What is u rounded to 5 dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18488163 and 3297.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 22. Let c = -143 + 146. Let a(q) = 0 - 6*q + c*q + 15. What is 7*a(f) + 5*o(f)?\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00106606 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 142930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3*r + (5 - 3 - 3)*(0*r + 3*r - 4*r) + (-2 + 1 - 9)*(r + 0*r - 4*r))*(3 - 2 + 1) as y + h*r and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.119 and -45.1746.\nAnswer: -45.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, -3, -1096 in descending order.\nAnswer: 4, 1, 0, -3, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56807, -56211, -55617, -55025?\nAnswer: -54435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 - 7*h + 5. Let x be b(7). Let r(j) = -j + 3. Let y be r(x). Does 10 divide 1\/(-2)*40\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 27501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*n = 308, -2*n + 3 = 13. Suppose d - u = -4*o, -o - o + 70 = -4*d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-3)\/(-8)*(-248)\/22134*7?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/(-20) + (163875\/114)\/(-115)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -34, -28, -24, -22, -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 1915*w - 1562250. Give o(-617).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/(-15) + (-872)\/218?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 32120*m + 5354250.\nAnswer: -2*(m - 16225)*(m + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10101000?\nAnswer: 10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -24*g - 20885 + 20973, 3*g + 0*w = -w + 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010011110011011 (base 2) to base 7.\nAnswer: -2410235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/14 and -43\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and 40177?\nAnswer: -15267.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 3*t - 1. Let o be s(0). Let h be o*9*(4 - (-13)\/(-3)). Which is the second biggest value? (a) 0.4 (b) h (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(-882)\/133*(-22)\/33?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6170 - -50?\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*s = 2*x + 130*s + 15, 4*s = 81*x - 385 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 2. Let m = q + -0.5. Let p = -0.2 - m. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7658241521.\nAnswer: 7, 709, 1543067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647031 is divided by 912?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 109*k + 109*k - 216*k + 37. Let i be u(-18). Solve 4*z = -i - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 2. Let f(w) = -w. Let z = 111 + -117. What is z*f(d) - v(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87569 and 3752.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 393565721 to the power of 1\/2, to the nearest integer?\nAnswer: 19838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 - 6.5. Let i = 57 - 35. Which is the nearest to n? (a) -1\/9 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2650 (base 10) to base 15\nAnswer: bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/4 + 2*g**3 - 4*g**2 - 2*g - 1. Let y be t(-7). Solve -2*l - 3*l = 4*i - 16, -i + 4 = -y*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*q = -2*s + 21, -2*s = 2*q - 8. Sort s, -2, 3, -3.\nAnswer: -3, -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4713 - -6649. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k, -48883 = 13*b - 17*b + 5*k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -30, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-4)\/x*x*x)*x)\/x*x\/(x\/(x**(-1)\/x)))**9 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15266, 28156, 41044, 53930, 66814, 79696?\nAnswer: 92576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:15 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wudvvpvhvvuu. Give prob of picking 4 v.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25827*u + 16348*u**2 - 25827*u.\nAnswer: 16348*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9) - 1875\/7425.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 593 + -570. Is 21 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.687559 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -378 - -428. What is the second derivative of -1 + 8*v - i*v + 10*v + 62*v**5 + 0*v wrt v?\nAnswer: 1240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (28 - -5) + -15 + -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 10*o**2 + 10*o - 23. What is n(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2\/(s\/(s*s**7)*s)*(((s\/s**(-2\/7))\/s)\/s)\/((s*s**7*s)\/s) assuming s is positive.\nAnswer: s**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160673207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77037, -153887, -230737, -307587, -384437, -461287?\n\"Answer: -76850*p - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, h: 1, b: 1, f: 2}. What is prob of sequence bhy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.78 - 4.4. Let n = k - 0.3. Which is the smallest value? (a) -5 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvwvw. What is prob of picking 1 w and 2 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v + 1. Let u be z(0). Let p = -20 - -23. Which is the closest to u? (a) p (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -28*a. Let q = -253 + 140. Let m = -59 - q. Calculate the remainder when m is divided by c(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237387 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -818*t**2 - 2380*t + 2*t**3 + 818*t**2 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:53 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - (-10)\/6. Suppose -z = -k + 6. 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 s(c) = -3*c - 1. Let z(a) = 7*a + 2. What is -9*s(q) - 4*z(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 4*d + 14 = -u, -4*d - 4 = 2*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285 + 289. Let o = 107 + l. What is the greatest common divisor of o and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174631865*g**2 - 567925360 wrt g.\nAnswer: 349263730*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.5 + 31. Which is the nearest to -1? (a) g (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032114 (base 5) to base 8.\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5 - 3) + (1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*n + 1, 4*u - 5*n - 1 - 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7947\/8 or -993?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 15. What is the closest to 0.1 in -0.2, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 1 - 1)*(-2*q + 0*q - 7*q) + 0*q**2 + 8*q**2 - 4*q**2 - 30 - 15*q**2 + 30 + 2*q**2 - 30*q**2 + 16*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105808.\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -5. Let r(a) = -5*a**2 + 3 - 3 + 3*a**2 + 14*a**2. Let q(c) = c**2. Give y*q(o) + 2*r(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -baa (base 12) in base 14?\nAnswer: -8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325092127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1128 by 24.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(96)\/sqrt(3) + -5 - (sqrt(4608) - sqrt(4608)*-1))*-4.\nAnswer: 20 + 368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/25)*p**(-2\/41))\/(p*p**(-4\/11)\/p*p**(-2\/9)\/p) assuming p is positive.\nAnswer: p**(151916\/101475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 57.1. Put 50, a, -5\/6 in increasing order.\nAnswer: -5\/6, a, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 79 - 6 = 0. Let n be (6\/5)\/(17\/j). Let k be 7*(0 - n\/14). Solve 10 = -2*t - k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*sqrt(68)*2*-2)\/((-1*sqrt(4)*4 + sqrt(4))*-2) + -5.\nAnswer: -8*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62967346 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 14*r**2 + 3*r + 42. Let k be t(-14). Solve -v + 2*w = -5, k*v - 3 = -v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 9. Let n = 5 + d. Let t = 20 + n. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203\/4 - -51. Let z = -2 + -3. Let b = -4.7 - z. What is the biggest value in b, l, 2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, x: 1, g: 1, s: 1, v: 1, u: 5}. What is prob of sequence usxv?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = 4*p, 0 = -3*i + 4*p + 8 - 9 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 3257*f + 3315*f + 3*f**2 + 0*f**2 - 6717*f in the form w*f + r*f**2 + a and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 10*j - 12. Suppose -j*i + 7 = -11. Solve -4*r - 2*x + i*x = 28, 0 = -5*r - 5*x + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 5*z + 4*d, 4*z + 0*d = -4*d + 148. Suppose -i - 114 = 4*t - 6*t, -3*t + 178 = 2*i. Let l = t - z. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4 + 1322290*p**3 + 87430475585*p**2 + 1049022904020*p + 3146925911220 = 0 for p.\nAnswer: -132223, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*a**2 - 2 + 30*a - 6*a**2 + 0*a**2 + 42.\nAnswer: 5*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -12 - (13 + -47 + (-4 - 4) + 35)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -8, -76 in descending order.\nAnswer: 69, -8, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*w - 18, 4*g + 72 = 4*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -216, -215, -214?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10144 = -2*q + 52324. Suppose 19*w + 4*w - q = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 - 7*q. Let w(y) = 35*y**2 - 34*y. Let l(n) = -33*i(n) + 6*w(n). Let d(u) = -3*u**2 + 4*u. Give -27*d(k) + 4*l(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(72) + 1)*3*-6 + -1 + (sqrt(72) - (sqrt(72) + -1))*-2)*3)**2.\nAnswer: 40824*sqrt(2) + 213922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135 - -124) + 13 + 1 + (-1 - 17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -769739\/148 + 5201. Find the common denominator of 29\/2 and j.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 64, 92?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/126)\/((-7)\/((-686)\/35)). Find u such that -1\/5*u**2 + t - 3\/5*u = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 9) to base 10\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73158714 and 273606.\nAnswer: 8826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 - o**2 - o - 1. Suppose -q + 4*y = 2*q - 82, 4*y = 4*q - 108. Let z = q - 17. Let j be (-2)\/z - (-14)\/(-18). Determine m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -11*r**3\/3 - r**2 - r + 20. Calculate c(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f. Let q(t) = t**3 - 2*t**2 + t - 1. Let h be q(2). Let p be a(h). Suppose -5*w = -p*u + 2*u - 19, u = 3*w - 13. Let v(g) = 2*g + 2. Give v(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-60)*4*17\/((-612)\/(-300)). Solve -3*s - 8 = -4*m, -u*s - 8*m + 10*m = 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 664 + -709. Put -1\/2, t, 1 in decreasing order.\nAnswer: 1, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-18) + 50\/(-9) and 19\/(-24) - (-4)\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 110, 164, 270, 446, 710, 1080?\nAnswer: 1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z**2 - z**2 + 0 + 2. Let g(i) = -39 - 18*i + 15 + 20 + 18 + i**2. Let k be g(17). Give n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80 or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930 - 1883 = -3*w - 890 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -99*l + 14. Let a(g) = g - 5. Calculate -3*a(w) - c(w).\nAnswer: 96*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + q - 2. Suppose -5*v + 4 = -0*v - 3*s, -v + 5*s = 8. Let c be p(v). Suppose z = c + 28. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*a = 11778, 4*a = 498*n - 503*n - 58745. Round n to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -846675, -1693728, -2541161, -3388974, -4237167, -5085740?\n\"Answer: -190*s**2 - 846483*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3\/7, -0.3462, -0.02, 1\/6, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 2*d**2 + 6 + 4 - 16*d. Let i be x(-7). Suppose q + f - 36 = 0, 5*q - 172 - i = -3*f. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 - 2*p**2 + 1. Let r be h(-1). Suppose -3*b + 3*n = -r - 36, -n = -5. Calculate the remainder when 36 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357 + 369. What is the remainder when 367 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-30))\/((-198)\/(-109593)*-82).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101101001100101010 (base 2) to base 11\nAnswer: -117100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 13*q**2 - 21*q + 6. Let r(a) = a + 27. Let x be r(-17). Let p be u(x). Suppose 81 = -3*c + p. Solve -5*w + c = 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -90, -208, -374, -588, -850?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 12\/71475989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 18, 0.1, 26, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 11*m - 2. Let t(b) = -b**3 - 13*b**2 - 3*b + 15. What is the lowest common multiple of n(-12) and t(-13)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 1, c: 1, l: 4, z: 5}. What is prob of sequence ycz?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, -5, 1 in decreasing order.\nAnswer: 13, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 909423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -35. Let f be ((-6)\/9*2)\/(a\/36). List the prime factors of f\/((8\/3)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c9699 (base 13) to base 14\nAnswer: -361aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 546 and 87.\nAnswer: 15834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1*-3*-1182 + (-570)\/(-95)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 11)\/((-29)\/(-1102)*-19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 8, 34, -7.132, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x - 681 - 1149 = x. Which is smaller: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.002, -24309, 3\/2 in ascending order.\nAnswer: -24309, -0.002, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 - 20531*s = 0.\nAnswer: 0, 20531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0.3 (c) 146 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -785 * 184\nAnswer: -144440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2846)*4*1302\/60. Suppose x = -2*q + 1118946. What is q rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23524 and 7.19.\nAnswer: 169137.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/2*(-4)\/(-8). Let f be (-10)\/4 - b\/6. List the prime factors of (f - -5)\/((-2)\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - ((4 - -9 - (19 + -14)) + -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 6*b**2 - b + 2. Let l be r(-6). Suppose l = 2*h + 2*h. Find the third derivative of 0*a**h - 6*a**4 + 26*a**2 + 0*a**4 wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.11 - 29. Let y = 107286.109966 - 107286. Let v = y - i. What is v rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.683 and -9?\nAnswer: -501.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 117538700 to the nearest one hundred thousand.\nAnswer: 117500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 711*r**2 - 356*r**2 - 353*r**2 + 4*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: d09 (base 15) to base 14\nAnswer: 10d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001122111 (base 3) to base 11.\nAnswer: 412a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -96*z - 4840. Let g be r(-51). Solve -2*t + g = -9*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -351, -491, -627, -765, -911?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111101000 (base 2) in base 4?\nAnswer: -1033220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 6)*(-5 - 9 + 4)*(-1 + 1 + l) to the form r*l + i and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -310771 (base 12) in base 7?\nAnswer: -6350005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52) + sqrt(52)*3)*-3*-3 - sqrt(208)\/(-1*sqrt(400) - sqrt(400)))*1)**2.\nAnswer: 6757933\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1\/9))\/(x*x\/x**0)*(x\/(x**2\/x))**(-40) assuming x is positive.\nAnswer: x**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5703*0.087\nAnswer: 496.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 - 36 = 0. Suppose -2*v + j = 3*a, 2*a = -4*v + 6*a. Let w be (2 - v)\/4 - -28. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 150686 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314 or 1576\/5?\nAnswer: 1576\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -42, 7, 14.\nAnswer: -42, 7, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*1*-4)\/sqrt(2))\/(2*sqrt(48)\/sqrt(2)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9931 and 43.\nAnswer: -427033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*i = 109, 3*y - 545 = -2*y + 2*i. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*h + 20, -3*h - 39*a + 4 = -41*a. Let j(r) = -5*r + 19. Calculate j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 235*z + 5118. Determine o(-23).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*k**3 - 118\/15*k - 76\/15 - 44\/15*k**2.\nAnswer: -2*(k + 1)*(k + 2)*(k + 19)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629728 and 2464?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829203.\nAnswer: 1829203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 897419431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -45112055227.\nAnswer: -45112055226.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61564 divided by -2.\nAnswer: 30782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 17*f**2 + 16*f. Let s be t(16). Let n = -1 - -6. Which is the nearest to s? (a) -3\/5 (b) n (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.1 + 15. Let t = m - 0.4. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxwwxbwxwwxgwgw. Give prob of sequence xg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -423 + 601. Let i = y + -160.8. Let h = i + -26. Round h to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 28*u**2 + 364*u - 19. Calculate x(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108846929 plus 1.28488?\nAnswer: -108846927.71512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.77 at least as big as -1\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-3))\/(5*(-2)\/15). Suppose 3*f + 5*h = -55, f + h = 2*h - 21. Does 32 divide ((-124)\/f + t)*50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16213 is divided by 953.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199 + 196)\/(6\/74).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (868\/(-32))\/(-7) + 8\/(-2). Let s = -492 - -488. Which is the nearest to s? (a) -1\/9 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - 22\/(-4))*6\/7. Put w, 4, 16 in ascending order.\nAnswer: w, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 148785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -508 + 1027. Let h = 532 - l. Solve -9*f = -4*f - 3*b + h, -4*b = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -38.2. Suppose 0 = -0*i - 3*i - 9. What is the third biggest value in i, f, 4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 4*s - 32 = -5*u, 4*u + 4 = 3*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201487683?\nAnswer: 3, 79, 823, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(-2\/11))))\/(s**7*s)*s*s**12\/s*s*s*s*s**3 assuming s is positive.\nAnswer: s**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -25*g - 3. Suppose -2*r + i - 2 = -2*i, -r + 2*i - 1 = 0. Let v(l) = -9*l. Let y(q) = r*k(q) + 3*v(q). Let p(t) = -t + 3. Calculate -3*p(b) + 2*y(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20447 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -76*p. Let k(w) = 144*w. What is r(k(v))?\nAnswer: -10944*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -59*x**4\/12 - 7970*x. Let z(q) = -24*q. Give z(c(p)).\nAnswer: 1416*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96 and 32?\nAnswer: -3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*f - 22*f + 2 - 2)*(2 - 2 - 1) in the form r + n*f and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*t**2 + 23 + 12 + 6*t**2 - t**2 wrt t.\nAnswer: -56*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -3*p - 5*f = -p - 35, 0 = 2*p - 5*f - 25. What is the smallest common multiple of (-3)\/p - 84\/(-20) and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3629\/2 + -7261\/4. What is the closest to 2\/7 in s, 13\/2, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -26. Calculate the highest common divisor of 40 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9741 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: Suppose 2*q = 8*q - 4410. Find the common denominator of 4\/6 + q\/(-198) and 427\/(-28)*4\/(-14).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9336 in -1\/2, 4, -2\/9, 12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46000000 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzppjzfzsjv. What is prob of sequence vfjz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.4976 + -0.4976. What is the third biggest value in 2\/7, i, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(-19) assuming w is positive.\nAnswer: w**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 921*19.\nAnswer: 17499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*7450.14\nAnswer: -22350.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 21*q - 301. Let t(f) = -12*f**2. Determine n(t(v)).\nAnswer: -144*v**4 + 252*v**2 - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2270 - 1013. List the prime factors of l.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*m**3 - 2 - 100*m**3 + 2 - 77*m + 81*m.\nAnswer: -258*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 36 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19162 >= -19225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 19 = -9. Suppose z + 2*z + 15 = 0. Let m = z + h. Sort 3, -3, m in descending order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19821011810661\/43792 - -452617186. Let v = 5\/272 + h. Which is the biggest value? (a) v (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 6:12 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505774.\nAnswer: 2, 252887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q - 1. Let m be n(4). Let x = m - 11. Put 3, 2, x in ascending order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387 and 90?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 895520*q**6 - q**5 + 6*q**3 + 294181768*q**2?\nAnswer: 107462400*q**3 - 60*q**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((10 - 14) + 32 + -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 59 = 206 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + 246*d + 41. Let r be c(-35). Suppose 3*f + r = -2*k, -5*k + 3 = 18. Which is bigger: -31.9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2185, -17239, -58095, -137653, -268813, -464475, -737539?\nAnswer: -1100905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 1.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694837275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 + 5*z. Let w(f) = -5610*f**3 - 279*f. Let o(k) = -3*v(k) - w(k). What is the third derivative of o(d) wrt d?\nAnswer: 33642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j - 3*j)*(20 + 0 - 60)*(-1 + 0 - 2).\nAnswer: -240*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 1, o: 3, x: 5}. What is prob of sequence ovx?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 980 and 55628230.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22235, -40636, -59019, -77378, -95707?\nAnswer: -114000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 64571 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*-5)\/(sqrt(396) - (sqrt(396) - sqrt(396)*-3)).\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8518, -8601, -8686, -8773, -8862, -8953?\n\"Answer: -r**2 - 80*r - 8437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 3, w: 5}. Give prob of picking 2 c and 2 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22839 + -19?\nAnswer: -18.77161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162)*5*2 + (2*sqrt(242)*2 - sqrt(242)) + 2)**2.\nAnswer: -588*sqrt(2) + 43222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.624, 1\/350, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 13*z**2 - 13*z - 7. Let k be a(-12). Suppose k*v - 252 = 323. Suppose 2*r - v + 15 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 9}. Give prob of sequence do.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250192 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 14*g**2 - 12*g + 3. Calculate o(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19237, -38472, -57707?\n\"Answer: -19235*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67603 + 2*o - 67055 - 5*o)*(-2 - 1 + 2)*(6 - 2 - 2).\nAnswer: 6*o - 1096","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*s - 75, -2*x = 210*s - 214*s - 36 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, -17, -122, -337, -698, -1241, -2002?\n\"Answer: -6*j**3 - j**2 + 14*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2598, 2565, 2530, 2493, 2454, 2413, 2370?\n\"Answer: -s**2 - 30*s + 2629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*(-3 + -28 - 19032\/(-468))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3005 - 8152. What are the prime factors of 3\/33 - k\/11?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3052?\nAnswer: -1\/1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s*s\/s**(-1\/4)*s))\/s**(-2\/13))**(-9\/4))**(-21))**(15\/8) assuming s is positive.\nAnswer: s**(-309015\/1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112043*y**4 - 5*y**3 + 8*y**2 + 31*y + 7356?\nAnswer: -2689032*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39230829.303338851661 + -658.496660168339. Let a = h - -39231485. Let l = a - -2.8. Round l to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/340 or 0?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*t - 6, 5*t = -121*f + 119*f + 30. Let k = -8 + 9. Let p be ((-161)\/(-52) - 3) + 1\/(-4). What is the third biggest value in p, 4\/3, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 205380 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -2*h + 2*t, -2*h + 2*t - 10 = 0. Let j = -3.83 + 1.83. What is the closest to h in j, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.94 - -0.06. Let m be ((-56)\/(-210))\/((-36)\/70). Let c = 44\/189 + m. What is the biggest value in c, 2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 311211?\nAnswer: -311204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -430 <= -451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*v = -2*j + 114, 0 = -3*j + 4*v + 75. Solve 0 = -0*b - 7*b - j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from utkuuukuktk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3966?\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2889984, 2889993, 2890002, 2890011?\n\"Answer: 9*s + 2889975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(2\/1))\/((-1)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4. Let j be ((-4)\/(-8))\/(2\/(-76)). Let m = j + 16. Let w be o(m). Solve -2*g + 24 = -g + w*q, 12 = g + 2*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2520974336 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 60.21864 months?\nAnswer: 0.0501822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10980843.\nAnswer: 3, 3660281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from zkkkttkttktzkttkzztz?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216820?\nAnswer: 2, 5, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9380)\/(-280))\/(61\/(-122))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.12 + -0.12. Let p = -0.021 - -2.021. What is the nearest to 0.1 in q, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347384, -347392, -347424, -347480?\nAnswer: -347560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5*j - 4*j)*(-18*j - 27*j + 8*j).\nAnswer: 185*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129974?\nAnswer: 2, 13, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5)\/(91\/1638)*(-16)\/(-24)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 500542 + 390.65.\nAnswer: 500932.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let d(j) be the first derivative of 286*j**3 + 3871. What is u(d(z))?\nAnswer: -858*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4700 = -34*v - 14696. Do -300 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 5*n - 156 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -46*n**2. Let r(s) = 29*s - 2. Calculate r(q(l)).\nAnswer: -1334*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674159.\nAnswer: 674159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-935*c**2 + c + 935*c**2 + 46*c**4)*(-2 + 0 - 1) to the form u*c**3 + a*c + h*c**4 + q*c**2 + b and give h.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 1, o: 5, u: 1}. Give prob of picking 1 e, 1 o, and 1 x.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a53 - 0?\nAnswer: -1a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -6)*686\/104272 + (4044\/(-19))\/(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(475) - (sqrt(475) + sqrt(475) + -3)*3) + sqrt(475)*-3 + -2))**2.\nAnswer: -8960*sqrt(19) + 487184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from ttttxwlclwkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 75, 77, 79, 81, 83?\n\"Answer: 2*k + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*w + 13, 23*w - 24*w + 5 = -2*o. Is 48\/91 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263794, -528753, -793714, -1058677?\nAnswer: -1323642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 greater than or equal to -235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, 56863 in increasing order.\nAnswer: -22, 5, 56863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -241 divided by 3884\nAnswer: -241\/3884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + 4*p**2 + 21*p - 22. Let x be u(-16). Suppose 2*l = 4*j + l - x, 2*j + 3*l - 57 = 0. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3120)\/168*(-490)\/2100?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*t - 145*t = 30. Sort -0.2, -5, t in increasing order.\nAnswer: -5, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.8 and 1.5.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 643 and 15188946?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -494.\nAnswer: -47\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/2*(-25650)\/(-12). Suppose -2*a = a - 33. Suppose 8*h - a*h = g. Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 481\/3 (c) 2\/156813\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196930 is divided by 2094.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405*k**3*u**2 + 116701*k**3 + 2*k*u**2 + 35559*k*u + k - 141*u**2 wrt k.\nAnswer: 2430*k*u**2 + 700206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 77364.14 decades?\nAnswer: 773641.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 67. Suppose 4*a + 26 = 5*b, -2*a - 1 - f = b. Suppose 0 = -b*o + 2*w - 0*w + 180, -4*o + 358 = -2*w. List the prime factors of o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*p = -330*p + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**(-15)*(s**(2\/7))**(-15) assuming s is positive.\nAnswer: s**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -28. Suppose -2*b = f + x, b = 4*f - 9 - 0. Differentiate f - 4*j**4 - 4 + j**4 + 6*j**4 with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 48*o**2. Let v(c) = -3*c**2. Calculate p(v(i)).\nAnswer: 432*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + ((-600710)\/(-616))\/43)*1\/3\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 247?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 9*m**3 + 1057*m**2 + 13*m**3.\nAnswer: 4*m**3 + 1057*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3526 in -10\/7, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -31667, 2 in descending order.\nAnswer: 2, -0.2, -31667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 18082882\nAnswer: -18082882.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -69*y**2 - 15*y - 1. Let o(f) = -14*f**2 - 3*f. What is 11*o(b) - 2*v(b)?\nAnswer: -16*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - z - 1. Let t be g(-1). Let w be 3 - (8\/12)\/(8\/36). Suppose w = q - 39 + 24. Solve 7*f - t*f - q = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 6\/149, -1\/6, -5?\nAnswer: 6\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dvduduu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5*x = 4*v - 11, -13 = -3*v + x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugguguv. Give prob of picking 3 u and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -266, 1014, 4516, 11350, 22626, 39454, 62944?\n\"Answer: 185*z**3 + z**2 - 18*z - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - 3*w**2 + 4*w**2)*(-9 + w**2 + 12 - w - 17) to v*w**2 + y*w**3 + r*w + s + p*w**4 and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -107173.\nAnswer: 5\/107173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Let z be 12\/9 + 33*(-3)\/(-27). Suppose p + 2 = d - 1, -z*d - 3*p + 7 = 0. Let r(j) = -4*j - d*j + j - 5*j. Determine r(m(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 61*k - 71. Determine h(62).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 19*t + 74. Let x be a(-14). Solve 5*g + 1 = 4*w - 31, -2*g + 4 = x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 37*y**2 - 25*y + 86. Calculate b(4).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36205 is divided by 423?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71649\/5825 - 42\/233. Which is greater: g or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241156202?\nAnswer: 2, 7, 149, 193, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159\/11? (a) -0.11 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -524554708 divided by -4\nAnswer: 131138677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**8\/8960 - 9*r**7\/1120 - 209*r**4\/12 + 62*r. Let g(x) be the third derivative of l(x). Factor g(v).\nAnswer: -3*v**2*(v + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**3 + 4*j - 7. Let c(a) = 5*a**3 - 2*a + 4. Suppose -2 = f + 2, z + 5*f = -24. Give z*k(n) - 7*c(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3365, 1829, -763, -4411, -9115?\n\"Answer: -528*g**2 + 48*g + 3845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, v: 1, o: 6, g: 3}. What is prob of picking 1 v and 2 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -47.54. Let r = i + 2.36. Let v = r + -2.9000151. What is v rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 173477598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 2*v**3 + 3*v + (v - 2*v + 3*v)*(v**2 - 2*v**2 + 3*v**2) - 8*v**3 + 3*v**3 + 0*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*g = 0, -5*h - 6*g + 3*g + 4 = 0. Solve 3*q = 4*i + 22, -h*i = -i + 5*q - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5) + -6 - -12 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -29, 0.2, -30\/23, -12, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 6*z**2 - 6*z + 11. Let m be w(5). Let p = m + -374. Solve -49 = 14*v - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -33 + 35 + 20\/(-9). Which is the second biggest value? (a) -0.4 (b) 0.1 (c) 8 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {r: 5, q: 1, y: 3, n: 1, t: 4, x: 3}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61560 plus 13?\nAnswer: -61547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose 0 = t*k - 3*k + 5. Sort 1, 0, k in increasing order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152746320 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 120809793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61946809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + 1*(1 + sqrt(1700)).\nAnswer: -7 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*8\/(-20)*-40.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228*y**4 + y**3 + y**2 + 100*y - 204 wrt y?\nAnswer: 2736*y**2 + 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + 3*d**2)*(2 - 2*d**2 - 2).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v + 4. Let l(p) = -3*p + 1. Let u(g) = -11*l(g) + 2*y(g). Suppose k - 8 = -k. Suppose k*i + 5 = 13. Calculate u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/90 and -113\/660.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/439425 and -121\/11340.\nAnswer: 1757700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/360 and 33\/3208616?\nAnswer: 144387720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - k + 588 = 0. Suppose k = 2*i + 5*i. Let r(t) = -18*t + 32*t - i*t. Let h(c) = 11*c. Calculate h(r(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*k. Solve -5*n + k = 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -24932.\nAnswer: -24931.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 2*a**2 + 4. Suppose -16*x + 19*x = 3. Calculate the remainder when k(-4) is divided by (12 - (-3 - (-3)\/1)) + x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133?\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 50, 30, -3 in ascending order.\nAnswer: -3, 4, 30, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -36*2*(-1464)\/64. What is the highest common divisor of a and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 50 = -7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -4131, -1, 1 in descending order.\nAnswer: 1, -1, -5, -10, -4131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-803)\/(-66) - (-1580)\/(-237)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65054038 minus 9.1?\nAnswer: -7.44945962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.007 + 0.057. Suppose 18*f - 6 + 60 = 0. What is the nearest to 2\/3 in 0.3, f, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -11.03. What is k rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820896 and 1529184?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68241 + -25920. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 481.\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 12*n - 4. Give g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 14*p - 46. Let z be y(9). Sort -0.1, 4, -35, z in descending order.\nAnswer: 4, -0.1, z, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -3*(1 + sqrt(117))*1 + -4*1*(sqrt(117)*-1 - sqrt(117)))*-3)**2 + -3.\nAnswer: -270*sqrt(13) + 26331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163 or 0.27288?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45751865\/43 or -1063997?\nAnswer: -45751865\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77119123 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2762 divide 1622351846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 i, and 1 u when four letters picked without replacement from gluaimil?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -20. Let s(v) = -5*v - 2. Determine s(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -49, -66, -65, -34, 39, 166, 359?\n\"Answer: 2*c**3 - 9*c**2 - 10*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53772 and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:30 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129639d (base 14) to base 2.\nAnswer: -100010001101011110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmqctck. 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: Four letters picked without replacement from {x: 2, g: 1, j: 11}. What is prob of picking 2 j and 2 x?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15931102*m**2 - m + 98147303.\nAnswer: -31862204*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t - 4. What is f(-8)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(134 + -14)\/(-20). Let d = -145 - -61. Let j = f - d. Solve -5*u = 3*i - j, 9 = u + 2*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -404.5999952749 + 404.6. Round y to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:35 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 47. Let i(x) = -2*x - 47. What is 2*i(p) + 3*z(p)?\nAnswer: 2*p + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*m + 205*m + 3 - 122*m as f + c*m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 80. Suppose 3*v - j = -0*v. Solve -v*t = -7*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 19. Suppose -3*z = -g - 10. Suppose 0 = 2*b + b - 69. Calculate the remainder when b is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -40*g. Let v(h) = -h. Calculate -l(y) + 30*v(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-21))\/(17 + (-6)\/((-594)\/583)*-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 50 = w, w - 220 = 2*f - 7*f. Calculate the remainder when (-2)\/(-9) + 575\/f is divided by (-2)\/3*(-63)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -336*c**2 - 1408?\nAnswer: -672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + (-12 + 18)*1. Let d = 0.2 + 0. What is the nearest to u in 4, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 6*h - 11. Let r be d(-8). Let i = -10 - -14. Suppose u - 2 = -4*t + 10, 4*t - u - i = 0. Solve t*j - k + 4 = 0, 14 = -2*j + k - r*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3789 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 48*p**3 + 1002*p**2 - 118*p + 277. Calculate m(-21).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 833?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -838, -0.1, -51, 1\/6, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -36. Let t(s) = 70*s**2 - 4*s - 1. Is 67 a factor of t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37658*o*r - 6*o + 109 wrt r.\nAnswer: -37658*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:15 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 3*u - 18. Let b be s(-9). Let p = b + -45. What is the units digit of (-42)\/189 + (-1685)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892337447?\nAnswer: 3, 7, 11, 13, 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -93, -120, -145, -168?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11043 + 1?\nAnswer: -11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 764000269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 54*r**2 - 9*r + 48. Let o(z) = 19*z**2 - 4*z + 16. Let d(p) = 17*o(p) - 6*x(p). Give d(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 89758*z + 269273. What is j(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9755137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35938 - -3\nAnswer: -35935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (342\/30 - -9)\/(4\/10). Suppose -50*p - o = -51*p. What is the remainder when p is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/232 + 979\/(-140). Which is greater: -7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = o + 3*o, 4*o + 24 = 4*g. Let i(k) = 2 - 8 - k**g - 1 + 10*k. Is i(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3229942634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f - 64 = m, -4*f = 3*m - 80. Let d = f - 8. What is the remainder when (-3 + 2)*-2 - -24 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20678 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32819, -34, -3.\nAnswer: -34, -3, 32819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let w = s + 3. What is the highest common factor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 8. Let l be f(-5). Suppose -19*h = -18*h - l. Let j be h\/(-3) + (-32)\/(-120). Which is the nearest to j? (a) -2 (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -874) + (-8)\/((-48)\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 4*j. Let b be c(3). Suppose 5*z - 324 = b*z. Calculate the greatest common factor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, k: 1, m: 1}. What is prob of picking 1 x, 1 m, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 26 = 3. Calculate the remainder when 85 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 817*h - 7028. Is s(93) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4815, -19203, -43169, -76713, -119835?\n\"Answer: -4789*h**2 - 21*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let k = 1468 - 360. Let a(i) = 18 - 1107*i**2 + 6 + k*i**2. Calculate q(a(g)).\nAnswer: -2*g**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 6*s + 3*s, 4 = -2*s. Let b be 0 - (24\/(-117))\/(-4). Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3888 is divided by 1281?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1994438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let f(n) = -76918*n + 1. What is f(o(a))?\nAnswer: 153836*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*o + 298 = 6*o, 2*d + 5*o - 167 = 0. What is the remainder when 1055 is divided by d?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/145338 and 127\/12.\nAnswer: 290676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*n**3 - 212\/5*n - 10*n**2 - 216\/5 = 0.\nAnswer: -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121322 (base 5) to base 8.\nAnswer: -10753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 116*w - 400 = 0.\nAnswer: 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4232 + 25285\/6. Calculate the common denominator of -79\/4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.01 times -0.043?\nAnswer: -18.14643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210173\/51 + 4121. What is the closest to 0.6 in c, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193\/386*(-2)\/4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 - 13*p**2 - 7*p - 66. Is y(-9) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 345 + -478. Let x = 132.99999495 + d. Round x to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.87 + -52.67. What is the nearest to 0.1 in 0.3, r, -68, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -2, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-15))\/x)\/x)\/(x**(-2\/5)\/x) assuming x is positive.\nAnswer: x**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 2. What is the units digit of i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 1012802. Let x(v) = -2*v - 23. What is x(n(b))?\nAnswer: -4*b**2 + 2025581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543756324 to the power of 1\/2, to the nearest integer?\nAnswer: 39291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*b = -3*a + 743*b + 12, 3*b - 6 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sexqesqxsee. Give prob of sequence sq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuuyuuy. Give prob of sequence yyu.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -s - 160 + 165, -2*s = m - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 8*g + 30. Let t be o(-13). Let r be 2*-1 - (-1 - -2). Let d be (-1)\/(-3) + (-113)\/r. What is the highest common divisor of t and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.2173km in centimeters?\nAnswer: 26121730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - ab31?\nAnswer: -ab31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 10*r + 538. Let f be q(29). Sort -3, f, 6 in increasing order.\nAnswer: f, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 81*k - 140*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4137824 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166658 and 101522.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1669.1413 - 1703.14129931. Let c = 34 + r. Round c to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2178 minus -0.04?\nAnswer: -0.1778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36720661 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985541081.\nAnswer: 7, 449, 313567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4645819909 to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-2\/7)*i))*i\/(i*i**5))**(-22)\/(((i**(-5)*i)\/((i*i**(-2\/3))\/i))\/(i**(1\/4)*i)**(-49)) assuming i is positive.\nAnswer: i**(1207\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - (24 - 12 - (-2 + 25))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 4, j: 3, y: 6, f: 1}. Give prob of sequence qq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {q: 1, m: 1, z: 11, j: 2, f: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237105 divided by -45.\nAnswer: -5269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2.3, 3\/2, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/368 and -143\/1656.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 58 = -77*d + 53*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -65*c + 64*c - 37, -3*f + 113 = -5*c for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 136 - 4*n + 2*n + 17*n.\nAnswer: 4*n - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050) - sqrt(4050)*-2 - -6*sqrt(100)\/sqrt(2))*5)\/(-3*((sqrt(120) - (sqrt(120) + sqrt(120)*3*-2)) + sqrt(120))\/sqrt(12)).\nAnswer: -55*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 529147.528 rounded to the nearest one hundred?\nAnswer: 529100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 34526076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 8 + 6. Let s(f) = 7*f**2 - 2*f - 2. Does 5 divide s(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28907626*y + 33765929 with respect to y.\nAnswer: -28907626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 258509522*k**3 - 1189127686 wrt k.\nAnswer: 775528566*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74082 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 121 = q + 675, 0 = -q. Let m = -201 + o. Which is the third biggest value? (a) -0.2 (b) m (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15705591 and 2640.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 844929205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757762?\nAnswer: 2, 3, 7, 43, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**3*j**2 + 78*h**3*j + h**2*j**2*p**2 - h**2*j*p**2 - j wrt j.\nAnswer: 16*h**3 + 2*h**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n + 12*n**3 + 29 - 41 + 3*n wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 1\/5 (c) -40242 (d) -6\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3 - 8577*v**2 + 17151*v - 8575 = 0?\nAnswer: 1, 8575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*d - 599 - 54 + 137 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g. Let o be g*1\/(-4)*-1. Let u(p) = -p**2 + 1. What is u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**2 + 2*q. Let i(l) = 15*l**2 - 4*l + 1. Give -2*i(g) - 5*m(g).\nAnswer: 10*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2236796 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 1. Determine s(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -12. Let g(u) = u + 9. Let b be g(-6). Sort b, -5, a in decreasing order.\nAnswer: b, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**23)*i**(-1\/13))\/(i**0\/(i**37*i)) assuming i is positive.\nAnswer: i**(194\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146922*i**2*t*w**2 - 3*i**2*t + i**2*w**2 + 26*i*t*w**2 + 14814*i*w**2 - i*w + t wrt i?\nAnswer: -293844*t*w**2 - 6*t + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 477883.112 rounded to the nearest 100?\nAnswer: 477900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:07 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*t = 95*t + 18. Is (-4)\/t*-6 - (-12205)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (4 - 6 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22864 + 53159. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-39)*r*r*(r**(-1\/46)\/r)\/r*r**(4\/7)*r**(31\/5) assuming r is positive.\nAnswer: r**(-48703\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/2 - 1\/6. Do j and -1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -49*m**6\/180 - m**3 - m**2\/2 - 62*m. Let z(g) be the second derivative of k(g). Let s(q) = 3*q. Give s(z(f)).\nAnswer: -294*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/((-4)\/(-48)). Suppose 4 = -a*m + 132. Suppose -3*t - 372 = -4*d, 0 = 4*d + 2*t - 7*t - 372. What is the remainder when d is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -252, 2, 5, -7 in descending order.\nAnswer: 5, 2, -7, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (55 + -20)) + 23?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, 1 o, and 1 y when four letters picked without replacement from {o: 1, h: 2, y: 2, v: 1, m: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 632783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let u be 2\/(-3)*135\/(-18). What is the third biggest value in p, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2011251017\/22 - -91443419. Let i = -22923 + h. Calculate the common denominator of i and 47\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 2 - (-6 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11177 is divided by 2\/(26\/169) + 52?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*d + d**2 + 123*d)*(-2*d + 2*d - 2*d)*(2*d - 5*d + 4*d).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33612 and 5?\nAnswer: -168060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -2*345\/(-10) - (3 - 9) and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96267455189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32092664, 64185333, 96278002?\nAnswer: 128370671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 14*h - 7. Let a be f(-13). Let u be -2 + (0 - -3) + 1. Solve u*j = 3*r + 4, -3*j + a = -3*r + 8*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652400?\nAnswer: 2, 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 12699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (1 + 0)) + (49 - -82) + -66.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110394 is divided by 14805.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -1. Let o = 85\/57 - 60\/19. Suppose 5*q = -1560 + 1570. Which is the second biggest value? (a) q (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdq when three letters picked without replacement from dqqktadqq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2731124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 295 divided by -2\nAnswer: -295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2575676 divided by -4.\nAnswer: -643919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5*f**4\/24 - 7*f**3\/12 - 70*f. Factor s(x).\nAnswer: x*(5*x - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**5 + 2*p**3 + 17*p**2. Let v(h) = 7*h**5 + 5*h**3 + 35*h**2. Let g(w) = 2*v(w) - 5*x(w). Find the third derivative of g(f) wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - 4*l - 8. Suppose -v + 21 = 2*s, 2*v - 5*s - 43 = -55. What is m(v)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.663 (b) -16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l + 8*l**3 - 22*l + 33*l**3.\nAnswer: 41*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 22085 = -3*n. Suppose 2*a + n = 2*i + 3*a, -i + 2205 = 4*a. Is i\/4 + 12\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68060484 times -0.2?\nAnswer: -13612096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80a0 - 6d6a?\nAnswer: -1102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/4 + 24*v - 1836.\nAnswer: 3*(v - 36)*(v + 68)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1127883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**5 - 235*u**4 + 3320*u**3 - 8040*u**2 - 79920*u - 97200 = 0.\nAnswer: -2, 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-20))\/(7\/(-15)). Let i = 8 + -8. Let u = i + 2. Which is greater: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i**3 - 42*i**3 + 5*i**5 + 236120*i**4 - 236180*i**4 = 0. What is i?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -28*a**2 - 5*a + 8. Let r(n) = -31*n**2 - 5*n + 8. Let t(y) = 6*d(y) - 7*r(y). Let l be t(3). What is the highest common factor of 56 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0*b**2 + 0*b**3 - 5\/12*b**4 - 14*b + 0. Let m(d) = -d**2. What is m(k(v))?\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7091 - 132749 = -1840*z for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28860 divided by -481.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90742182683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6*n + 6. Let a(g) be the first derivative of g**3\/3 - 7*g**2 - 5*g + 10. Calculate the remainder when a(15) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o - 1. Let g(r) = 19*r - 4. What is -4*g(b) + 11*s(b)?\nAnswer: 23*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 5*n**2 - 3*n + 93. Let h be v(0). Let i(c) = -c**2 + 10*c. Let g be i(10). Suppose -5*d + h - 73 = g. Solve 4*k - 24 + d = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 28. Suppose -2*n + 12 + o = -5*c, 0 = -4*n + 2*c + 2. Let p be 2\/(-4)*(-6 + 12). Is p equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 286*q**2 - 3093*q - 1327. What is k(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4008805, 8017609, 12026413, 16035217, 20044021?\nAnswer: 24052825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20*t**3 - 3*t**2 - t + 1. Give d(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 763 - 775. Which is the nearest to 3? (a) j (b) -2 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1216 - 676. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*k - 8 = 0, 0*x - 8 = -x - 3*k. Let p(f) = f + 28. Let l be p(-6). Does 9 divide (-165)\/l*(x - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*o - o + 0*o - o + (-5 - 1 + 2)*(2 + 7*o - 2) to c*o + u and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 2*r**2 + r**2 + (1 + r - 1)*(-111*r + 5257 - 5257) to the form g*r**2 + p + a*r and give g.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180788 divided by -190.\nAnswer: 90394\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -3*o, 0 = -5*k + 4*k + 5. Is 1*o*(-191)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7.8. Let p = 2.9 + h. Let d = 0.11 + 0.19. What is the closest to p in -2, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -1944?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589151 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -257, -256, -255, -254, -253?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 37. Let o = j - 13. Suppose 0 = 6*g - g - o. Solve g*d = -4, 0*v = 3*v - d + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62812.94 hours in microseconds?\nAnswer: 226126584000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*q**2 - 34*q**2 + 5*q**4)*(-1 - 1 - 5) + (-q**2 - q + q)*(-5*q**2 + 4*q**2 + 2*q**2) + 2*q**4 - 4*q**4 + 0*q**4 + 4*q**4 + q**4 - 3*q**4.\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*u - 28, 3*u + 2*w - 42 = 6*u. Let c be (-42)\/12 + 3 - u\/(-4). Let d = -4 - -5. Sort 3, c, d in decreasing order.\nAnswer: 3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 80*l**2 - l + 87. Determine b(80).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 733426 plus -5986979?\nAnswer: -5253553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 407 - 432. Let u be (m - 112\/(-16))*(-4)\/6. Suppose -3*j = -14 - 1. Solve 2*g - 3*c - 1 = -3, 0 = j*g - 4*c + u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11494614 by -28.\nAnswer: 5747307\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344762000 rounded to the nearest 1000000?\nAnswer: 345000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-60) - (-10584)\/(-1620).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -31827*m**2\/2 + 103*m - 1\/6 = 0.\nAnswer: 1\/309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -2\/5 (c) -2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1050)\/(-875))\/(3*-1 - (-57)\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 20571*a**3 + 39 + 38.\nAnswer: 20571*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6 - (171\/(-18) + 9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*4 + sqrt(700) - sqrt(700))*-1)**2 + 2 + -6*(sqrt(700) + 3*2*sqrt(700))**2 + -2.\nAnswer: -194600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**3 - 9*f**2 - 3*f - 4. Let j(o) = -4*o**3 + 8*o**2 + 2*o + 4. Let x = 21654 - 21651. Give x*j(m) + 2*i(m).\nAnswer: -2*m**3 + 6*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35961215?\nAnswer: 5, 7192243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 + 3*s**2 + 9*s - 1. Let q be h(5). Let v = -366 + q. Suppose -v = -7*p + 135. What are the prime factors of p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -6, -22, 61, 5 in decreasing order.\nAnswer: 61, 5, 4, -4, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a factor of 85678400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, w: 2}. What is prob of sequence pppp?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f + 5. Let h = 5 + f. Let u(g) = g - 3. What is the units digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/3 + -1\/15. Suppose 5*p + 2 = 7. Let y be (p\/(-2))\/(4\/16). Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 31 = -5*a, v - a - 8 = 0. Suppose -v*w + 118 = -2*w - 4*f, 2*w + 2*f = 256. Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 4*r**2 + 16*r + 38. Let s be z(-2). Put 4\/19, s, -19\/2 in descending order.\nAnswer: 4\/19, s, -19\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -232*x**3 + 2*x - x + 2 + 217*x**3 - 2*x - 2*x**3 + 2*x + (-x**2 - 2 + 2)*(-x + 0*x + 3*x) - 11*x**2 + 11*x**2 - x**3.\nAnswer: -20*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319 - -322. Let p be (-2)\/(-5) - 64\/(-40). Find the second derivative of 45*l - 25*l**2 + l**o + 15*l**2 + 10*l**p wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 349 = 4*p, 4*p + 2*b - 438 = -p. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c + 18. Let m be r(0). Is 18 a factor of (720\/(-90))\/(1\/m*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 131 (c) 2\/177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {h: 2, k: 10, w: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = -2*f, 4*f - 4*b = 8*f - 32. Suppose -13*z = -17*z + f. Sort -2\/3, z, -0.4 in descending order.\nAnswer: z, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 6:48 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 1. Suppose 0*w - 36 = 3*w. What is the tens digit of o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*v - 10 = 0, 0*j + 3*v - 2 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 92 + 270 + 777)*(-2*n**2 + 0*n**2 + 6*n**2) as u*n + a + q*n**2 and give q.\nAnswer: 3956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5\/11 - 4*p**4\/11 + 18*p**3\/11 + 4*p**2\/11 - 16*p\/11 = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -1 - -3)*0. Let j(n) be the second derivative of 0*n**3 + 0*n**2 + 3*n + q - 1\/6*n**4. What is r in j(r) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 + -323. Solve -v = -3*t + 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - -4.84. Let c = -4.99991 + k. What is c rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608868622.\nAnswer: 2, 3, 41, 193, 54949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*f + 20. Calculate the highest common divisor of 162 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/((-342)\/(-29925)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8 = 9*y. Let u(b) = 7*b + 8. Let m be u(y). Suppose 3*r + r = m. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:23 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423, 1431, 1443, 1459, 1479, 1503, 1531?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8 + -6 + (-35)\/(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 + (0 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*(a\/(a**(1\/4)\/a))\/a)\/a*a*a*(a*a**(13\/3))\/a)\/(a**(-1\/13))**(-3\/17))**(-33) assuming a is positive.\nAnswer: a**(-235411\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/1070 + 16589\/4280. Find the common denominator of -3 + 3 + (-9)\/16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12003, 23529, 35043, 46539, 58011, 69453, 80859?\n\"Answer: -q**3 + 11533*q + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65816 divided by 8227.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/9 - 20*o**2\/3 - 128*o\/9 = 0 for o.\nAnswer: -2, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2057)*-3 + 4*(sqrt(2057) + 0) + sqrt(2057))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, -3, -10, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 26) + 249 + -205.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/199 + 10100\/1393. Which is greater: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c + 4. Let k = 6 + -8. Let n be (5\/k)\/((-2)\/(-4)). Let b be t(n). Which is greater: b or -5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.891566 micrometers in nanometers?\nAnswer: 1891.566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 30. Let o be b(14). Suppose -9 = -q - o. Suppose -5*i + q*i = 4. Solve 0 = -0*z - i*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c + 261. Let g be q(-26). Put g, -68, -3 in decreasing order.\nAnswer: g, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 119 = -33*m. Solve -20 = -m*h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42149?\nAnswer: 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1892402*j**4 + 13*j**3 - 155180154 wrt j?\nAnswer: -7569608*j**3 + 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 5*x**2 + 7*x + 5. Calculate d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p - 73. Let k be n(7). Let z be (-194)\/(-2) + -15 + k. Suppose -4 = t - 44. Calculate the greatest common divisor of z and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*s + 14, 5*c - 5*s - 160 = 0. Suppose -13*v + 14*v = 8. Suppose 7*j = 55 + v. What is the remainder when c is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1499334 meters?\nAnswer: 0.0001499334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**2*m**5 - 5*f**2*m**3 - 15*f**2 + 6*f*m wrt m.\nAnswer: -300*f**2*m**3 - 30*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5\/(-1) + 4) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(4 - 5)\/(-2). Let y be (1 + a - 1) + -14 + 12. Let h(i) = -i**3 + 28*i**2 - 27*i + 3. Let m be h(27). Solve 0 = -m*c - y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -486 and -7.\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2514715 - -48?\nAnswer: 2514763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 20 - (-14 + 0) - -77 - -8?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -8. Let l(d) = 10*d + 63. Let u be l(-6). Do s and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 444?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9456191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2502*b**3*q**3 - 13*b**3 - 2*b**2 + 11*b - 510*q**3 wrt b.\nAnswer: -15012*b*q**3 - 78*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 21 = -3*f - 14, 3*u = f - 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 15*d**2 - 4*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6823.466 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 10, t: 9, j: 1}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, g: 5}. Give prob of sequence fffg.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-20)*(-12)\/12)\/((-110)\/25).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20122 + 58727\/3. Let j = g - -547. Let f = -0.06 + 0.03. Which is the closest to -2\/7? (a) j (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -4\/455 (b) 59 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 31, 15, -1, -17?\n\"Answer: -16*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 340863, 681726, 1022589, 1363452?\n\"Answer: 340863*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -689, -3761, -11503, -26249, -50333, -86089, -135851?\n\"Answer: -389*w**3 - w**2 - 346*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9988730.66 to the nearest 10000.\nAnswer: 9990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*y**5 - 9*h*y**2 + h*y - 7*h - 513*y**2 - 40*y - 1 wrt y.\nAnswer: -40*h*y**3 - 18*h - 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - n**2 - 400*n**3 - 5 + 334*n**3 + 8 + 2*n to the form z + m*n**3 + l*n**2 + k*n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20*-2)\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 868 = -4997. Let l = x + 1327. What are the prime factors of l?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10620908?\nAnswer: 2, 739, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 2:37 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.8 and 0.6.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Suppose 0*x - a*x + 36 = 0. Solve -2*h - x - 1 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/171 and 33\/152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*n - 18 = 0, 2*n - 8 + 2 = d. Let l be d\/6 + (-34)\/(-36). Let f = l + -127\/9. What is the common denominator of f and -47\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + y + y - y. Let p(s) = -4*s - 4*s + 5*s - s. Determine k(p(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16522 + 16530. Solve u*i + 10 + 30 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 114*i**2 + 85*i - 5. Let j(f) = -109*f**2 - 77*f + 4. Calculate 6*j(q) + 5*p(q).\nAnswer: -84*q**2 - 37*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*4\/8*(27 - -3). Is 12 a factor of (n\/10)\/3*-336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 9 + -3 - -20. Solve -4*h + 0*h + 28 = 4*l, 0 = 5*h + 3*l - g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 18, 46, 2, 36 in increasing order.\nAnswer: 2, 18, 24, 36, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 10*p + 0*p - 80 = 60*y, 0 = -3*p + 5*y - 14 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36110697683 + -0.9.\nAnswer: -36110697683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 8*x - 106. Let u = 171 - x. What is the remainder when u is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002773 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14358, 28500, 42640, 56778?\nAnswer: 70914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 3*k + 4. Let w(g) = -1. Suppose -4*n - 3 = -9 - 10. What is n*w(z) + f(z)?\nAnswer: z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 281 + -277. What is the derivative of -103 - 2*o**2 + 22*o**2 - 108*o**h - 20*o**2 wrt o?\nAnswer: -432*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76 - 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/23)\/(888\/(-91908)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3495 + -1570. What is the highest common factor of g and 350?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let z be r\/(2\/(-1)) - -1. Let y(x) = x**3 - 6*x**2 + 6*x. Let m be y(5). Solve 0 = m*f - 4*k + 4, -k = -3*f - 0*k - z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 6. Let x(w) = -w - 1. Let t(s) = p(s) - 6*x(s). Let q(m) be the third derivative of -5*m**4\/24 - 14*m**2 + m. Determine q(t(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8665.\nAnswer: 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuumjuuimuujuijtbbu. What is prob of sequence bmb?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199484 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.949*8.\nAnswer: -311.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 8:23 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 662 - 511.3. Let m = t + -158. What is m rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 3 + 19 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 2. Let r(l) = l**3 + 3*l**2 - 2. Let h be r(-2). Let t be y(h). Let s be (2*6 - 2)\/2. Solve -z - t*z - 8 = -5*b, -s*b + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 83*u**3 - 2163*u**2 + 18081*u.\nAnswer: -u*(u - 41)*(u - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(512) + -2 + sqrt(512) + 0) + 5)*5*-3)**2.\nAnswer: -360000*sqrt(2) + 11525625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s**2 - s. Let d be n(-1). Suppose 3*u - 21 = 3*x, u + x - d = 4*x. Suppose 3*k - 5 = -u*k. Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2873, -86, 7, 0.3 in ascending order.\nAnswer: -2873, -86, -12, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*o - 136*o + 267*o + 12*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtvvttvtttvtvvvvttv. Give prob of picking 4 v.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 7. Suppose -3*p = -9*p + 30. What is the remainder when f(5) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 + 0*m**2)*(-2 - 4 + 4) + 1 - 1 + m**2 + (0 - 1 + 0)*(-4*m**2 + m**2 + m**2).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 5. What is the highest common factor of x and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 + 4*b**3 + 28*b**2 + 32*b = 0. What is b?\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.71 - 0.47. Let c = i - 0.23. What is c rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 48956*f**3 + 3*f + 48967*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 19102914.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.007324 months?\nAnswer: 0.00167277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(8\/12)*1. Let f = 53 + -373\/7. Which is the third smallest value? (a) f (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022593 rounded to five dps?\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-3\/8))\/n*n*n**4)\/(n**2)**24)**(-1\/18) assuming n is positive.\nAnswer: n**(341\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 45*z + 52*z - 101*z in the form y + t*z and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227\/24360 + -1\/1015. Let m(x) be the third derivative of x**2 + 0*x + 1\/1050*x**7 + j*x**4 + 1\/200*x**6 + 1\/100*x**5 + 0*x**3 + 0. Factor m(c).\nAnswer: c*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1355492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 76. Solve q + d*q - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65 - -5?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24350, 24352, 24356, 24362, 24370, 24380, 24392?\n\"Answer: x**2 - x + 24350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 762, 1524, 2288, 3054, 3822?\n\"Answer: s**2 + 759*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*x + r + 12, 4*r + 16 = -2*x. Let q = x - -5. Suppose -5*y + q*s = -35, 3*y - 31 = s - 0*s. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 94868 = 5*g, -20*m = -27*m + g + 166081. What is the least common multiple of m and 8?\nAnswer: 189816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -23*g. Let t(j) = -14*j - 236. Let x be t(-17). Let r(u) = 0*u - x*u + 0*u + 0*u. Determine r(d(w)).\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f - 267300 + 163175 = 517743. What are the prime factors of f?\nAnswer: 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 94290 = -20*a. Is a\/(-30) - (-6)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740 and 4995.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 199664281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 26. Let r = -21\/2 - w. Let j = -0.22 - 3.78. Put -2, 0.4, j, r in increasing order.\nAnswer: j, -2, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 10 + (-8)\/8. Let t = k + -6. Solve 5*v = 0, -2*v + t = -h + 2*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 5*g + 2. Let r be k(4). What is the tens digit of 0\/r + 32 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-189)*(-25)\/(-405)*63.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:46 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/120 + 11*x**5\/60 + 3*x**4\/8 - 13*x**3\/6 - 4*x**2. Let i be r(-10). Let k(f) = f**2 + f - 2. Give k(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + f - 1. Let p be y(1). Let s be (-17)\/24 - (-4)\/(-6). Let v = s + 5\/8. Which is the closest to 1? (a) 0.4 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 35*w - 1. Let u be k(6). Suppose -5*n + u = -6. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*5\/(15\/2). Let f be (-1182)\/(-21) - u\/21. Let i = -34 + f. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2)*9*(-726)\/1782.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Suppose 2*z + 38 = -0*z. Let d = -55\/3 - z. Which is the closest to 0? (a) d (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 6. Let z = y - 3. Let q = -0.28 + -0.02. Which is the third smallest value? (a) z (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(1875\/(-100)))\/(592\/(-814))\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734850717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 9. Let k be q\/(-12)*(-40)\/(-22). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -t - 5, -o + 2*t + 5 - 10 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462 < 7463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -13 + -9 - -20?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50137384 and 3924?\nAnswer: 451236456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11297 in -1, -2\/17, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*h + 139*h - 31 = 5*b + 14, -28*b = h + 252 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13297 + -12433. What is the least common multiple of 40 and o?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4339103720?\nAnswer: 2, 5, 7, 19, 815621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsk when three letters picked without replacement from llllkksskksl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -19*y - 388. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 0*p**2 + p**2)*(4*p + p - 2*p - 7*p**2) as q*p**2 + g*p**4 + c*p + j + i*p**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479290 is divided by 191.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 339\/(-7) - (-15)\/35. Let i = 73 + t. What is the lowest common multiple of 55 and i?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502 + 52*o**2 - 2*o - 95*o**2 + 3*o + 41*o**2.\nAnswer: -2*o**2 + o + 1502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3693640, -3693680, -3693746, -3693838, -3693956, -3694100?\n\"Answer: -13*a**2 - a - 3693626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j - 15. Let f be o(-5). Suppose -47 + 2 = -f*d. Suppose -5*p - 165 = -3*k, -2*k + 21 = d*p - 89. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (257 - 261) + 12 + (10 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00202424845 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8318 - 0.0082. Which is the third biggest value? (a) 2\/11 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfcyykyktytt. What is prob of picking 1 b, 1 t, and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4087 - -2117. Let t = y + 1970.5996. Let j = -0.6 + t. Round j to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13631330*i**2 - 154412*i - 13?\nAnswer: 27262660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -5\/12*q**4 - 5\/3*q**3 + 0 - 1\/24*q**5 + 0*q + 3*q**2. What is n in r(n) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-1)**2 - sqrt(288)) + sqrt(288) + sqrt(288).\nAnswer: 12*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)\/q**(-23) assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 35*p**2 + 222*p - 7683. Determine c(33).\nAnswer: 1821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**6\/240 + 7*k**5\/720 - k**4\/72 - k**3\/3 - 11*k + 34. Let t(a) be the third derivative of g(a). Find r such that t(r) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5320?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:29 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 452012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 7*v + 4. Let g be w(-7). Suppose 0 = -7*s + g*s + 9. Solve 5*a + 16 = 2*r, s*r + 18 = -2*a - 2*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1148 and 11.\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 243?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 274 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - o. Let y(p) be the third derivative of -p**6\/120 - p**4\/12 + p**3\/3 - 124*p**2. Let n be (-6 - -3) + 7 + -5. Give n*y(q) + 2*t(q).\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114810*p**3*z + 3*p**3 + 3*p**2*z + 15*p**2 + 3*p*z + 361*z wrt p?\nAnswer: 688860*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9689, 38520, 86499, 153626?\nAnswer: 239901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 211887 = -4*h, 302912 = 5*h + 3*a + 38062. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126779841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42752.2 + -42752. Which is the second smallest value? (a) 0.5 (b) 1007 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -339, -0.3, 5, 1\/4, -2015?\nAnswer: -2015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 - -153. Determine o, given that -32*o + 4*o - h - 47*o**3 + 23*o**3 - 14*o**2 + 22*o**3 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 49, 95, 161, 253, 377, 539, 745?\n\"Answer: b**3 + b**2 + 22*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/11008 and -31\/1679924.\nAnswer: 107515136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 8 + -46 + (-8 - (0 - -8)) + 12.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 19*c**2 - 14*c - 33. Let h be j(15). Let b = -342 + h. Is 35 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.138959976 to three decimal places.\nAnswer: -1.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(7\/(-215670)*-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114088.\nAnswer: 2, 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -62*n**2 + 7058*n + 14136. Determine d(-2).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -47. Let z = 102 + -51. Let f = d + z. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 6, v: 1, z: 3, i: 3}. What is prob of picking 1 i and 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54482, 106512, 158542, 210572, 262602, 314632?\nAnswer: 366662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:30 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2476, 1\/4?\nAnswer: 2476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5372 + -2621. Let s(o) = -l*o + 2751*o + 19*o**2. Let y(h) = -h. Let q(x) = -2*x**2 - 12*x. Let c(m) = q(m) - 12*y(m). What is c(s(b))?\nAnswer: -722*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 950*j + 3 - 476*j - 477*j. What is c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 126, 136, 150, 168, 190, 216?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -773 - -773.6. Which is the third smallest value? (a) o (b) 46 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -21. Let f be ((-6)\/(-4))\/((-2)\/(-8)). Suppose f + b = g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000110 (base 2) to base 8.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 55 = 52, -d - 2*r - 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and -0.18.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 29 - 34 - 3*o + o. What is b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {a: 1, g: 4, x: 9}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 18. Suppose -3*a + u + 2 = -4, a - 2*u = 7. Is 3 a factor of -1 + j\/(-2)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1359664 + 206095 = -92*b + 27067. What is the highest common divisor of b and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3)\/o*o\/(o*o\/o**(-2\/3))*o)**8\/(o*o**(2\/5)*o*o*o**(3\/5))**(-2\/5) assuming o is positive.\nAnswer: o**(-416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38 (b) 2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 11*i + i + 11*i - 5*i - 6 in the form n*i + x and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2849)\/(-6105))\/(175\/(-90))\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1520, 1519, 1518, 1517, 1516, 1515?\n\"Answer: -g + 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 2*q + 16*q + 17*q + 11*q.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v + 3*v**2 - 2*v**2 + 6 - 5. Let x = -25 - -15. Let y be f(x). Are y and 1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(52\/(-286)*-11)\/((-33)\/84)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.60255 millennia in years?\nAnswer: 4602.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 6:12 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3935, -5633, -7143, -8471, -9623, -10605?\nAnswer: -11423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10192 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/18*(0 - 98\/6). Let o = 250 - l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.69 + 61.8. Let u = -1.78 - d. Let c = u - 1.1100094. What is c rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3188541*r**6 - 3630649*r**2 wrt r.\nAnswer: 382624920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 1. Let q(h) = 7*h - 10. Let k(r) = 4*r - 5. Let a(p) = 11*k(p) - 6*q(p). Let o = 283 - 284. Suppose -83*b + 3 = -84*b. Give b*d(n) + o*a(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*x**2 + 0 - 9\/2*x = 0. Calculate x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k. Suppose 0 = -4*i - 25 + 5. Let x be i\/2*6\/5. Let c(p) = p. Let r(t) = x*c(t) + v(t). Let a(w) = -2*w. What is r(a(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/5 + 3*q**2\/2 - 24*q. Differentiate w(y) with respect to y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - -7?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/1183*-39*(-7)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 129 = -3*t, 6*t + 93 = 8*t - 5*z. Suppose -3*m - t = -6*m. What is the remainder when 35 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 2*x**2 - 5367*x + 5367*x.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2854802 != -2854802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + (-14 - 28) + 80.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 2071839.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 - 3*f - 2. Let d be g(-2). Suppose -50*b + 244*b = 0. Suppose b = 3*s - 0*o + 2*o - 927, -2*s - d*o + 618 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827100 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 7}. What is prob of picking 3 d?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1110*y**2 + 78928*y - 2561280.\nAnswer: 2*(y - 24)*(y + 115)*(y + 464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 4:34 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-24)\/(-64)*8\/12*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + -34 - (41 - 62).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)\/(n*n**7))\/(n**(1\/3))**(-6\/5) assuming n is positive.\nAnswer: n**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 331 + 2570. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22074150 rounded to the nearest ten thousand?\nAnswer: -22070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -321 divided by -1534\nAnswer: 321\/1534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 r, and 1 g when four letters picked without replacement from iiririgri?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621*v = 613*v + 256. Solve 15*w = -107 + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22140683 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 667509 less than 667505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:22 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2a27 (base 13) to base 5\nAnswer: -143432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 13*i - 17. Let s be o(-18). Suppose -m = -2*l + 1695 - 565, -s = -3*l + m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800 is divided by 343.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - 6) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*t + 9488 = -279 - 11551 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864*i - 232*i - 324*i - 325*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkwwzpqkqwzzwwzapwkw. Give prob of picking 1 q, 1 k, 1 p, and 1 a.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5\/2, 25\/6, 0.07, -14877, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79177061 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*r - 15. Let w be 2\/11 - 93\/(-33). Let q be (-6*(-1)\/(-2) - 1) + w. Is r bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4084 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w + 5*w - 15*w - 1 in the form q*w + i and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/3, 2\/9, -0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 1426?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1068*x**3 + 10*x**2 + 5*x - 1. Let k(s) = -2*s**2 - s. Calculate -h(y) - 5*k(y).\nAnswer: 1068*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 243*p**4 + 148608*p**3 - 2040459*p**2 + 884844*p - 97500 = 0.\nAnswer: -625, 2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/108)\/((-2)\/(-64))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1*6*((-130)\/(-30))\/13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 46*i**2 - 151*i - 16. Is 166 a factor of r(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -509*i. Let a(y) = 806*y. Let v(h) = -12*a(h) - 19*d(h). Let u(c) = 76*c + 2. Let s(j) = 152*j + 5. Let l(b) = -4*s(b) + 9*u(b). Calculate v(l(f)).\nAnswer: -76*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b - 3 = 0, 5*t = 3*b + 73. Let v = t + -12. Suppose v*m - 31 - 13 = 0. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21664093 divided by 11.\nAnswer: -1969463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1164*u + 638*u + 710*u + 878*u - 454*u in the form y + p*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (228\/24)\/(2\/4). Let h = d + 28. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k = 437*k + 2153*k - 67800 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175296 and 18.\nAnswer: 525888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 7. Let z(w) = -8*w - 62. Let n(u) = 52*h(u) + 6*z(u). Let x be n(5). Suppose 5*i - x = 2*i. Solve i*q - 5 = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147307645 is divided by 5816?\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/39)*(w\/(w\/w**(-2\/55))*w)\/w)\/((w\/(w**12*w))\/(w*w**(2\/11)*w)) assuming w is positive.\nAnswer: w**(30452\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 22*g**2 + 102*g - 40. Let n be l(-5). Solve 11*c - 40*f + 39*f = 37, 2*c + f - 2 = n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*r + 32 = 0, -5*h + 20 = -5*r - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + l - 5, 4*o - l = -36 + 49 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4648 and -93\/1161004?\nAnswer: 16254056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -738*z - 5703. Calculate i(-8).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 1, 3\/5, 45.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/720 + u**4\/24 - u**2. Let m(p) be the second derivative of x(p). Let r(f) = -6*f**2 - 4*f. Give r(m(h)).\nAnswer: -6*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 1297359590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 7966994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3474 divided by -579.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 518\/(-555) + (-3)\/(-9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 divided by 3?\nAnswer: 991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244.51 - -246. Let u = q + -0.69. Which is the nearest to -1\/3? (a) -3 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*z**2 - 379863*j**2*z - 2*j*z**2 + 596702*z**2 wrt z.\nAnswer: -4*j**2 - 4*j + 1193404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1, -8\/37, 0.5 in decreasing order.\nAnswer: 1, 0.5, -1\/8, -8\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -23811?\nAnswer: 1190.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-8791 + 8791 - 2040*p - 2240*p).\nAnswer: 12840*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/5*(-8 + 559\/86))\/((-6)\/4). Factor 0 + 0*w**2 + 0*w - 2\/15*w**4 - q*w**3.\nAnswer: -2*w**3*(w + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 6, 3 in increasing order.\nAnswer: -31, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 7*z**2 - 10*z - 1. Let v be q(3). Suppose -2*s - v*s = 4970000. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 4*y**2 - y + 5. Let x be p(-3). Which is the third smallest value? (a) -4 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + 0)*(-19)\/(-57). Let c = -336 + 343. Solve 5*t = 4*b - 20, h*b + 2*t + 1 + c = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10062 and 60.\nAnswer: 100620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.202 + -0.298. Let v = 0.01 + 0.09. Which is the nearest to v? (a) -2 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7045169 - 5003588 = 38*u - 11890397. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43876, 42834, 41782, 40714, 39624, 38506, 37354?\n\"Answer: -m**3 + m**2 - 1038*m + 44914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 9*j - 5. Let q be r(10). Suppose -m - q + 11 = 0. What is the greatest common divisor of 54 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 13 + 7. Put u, 2, 8\/7 in decreasing order.\nAnswer: u, 2, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.543 + 0.176. Let x = -0.151 - m. Let y = -0.86907 - x. What is y rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 1, e: 1, l: 5, b: 3, j: 1}. Give prob of sequence yb.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886024548 a multiple of 692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*c + 8, -3*c = -r - 4 - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 1 + 7. Suppose -2*z - 4 = -2*f, -f + 6 = 2*f - v*z. Suppose 3*q = 2*q + f. Solve 0 = r - 6*r - 2*w, 0 = -r + q*w - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x**2 + 0*x**2 - x**2)*(3*x - 4*x + 2*x) - x**3 - x**3 + x**3)*(-17*x - 145*x - 96*x).\nAnswer: 774*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/1*6\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 2*x + 9. Let g(p) = -p**2 + p + 5. Give -7*g(v) + 4*z(v).\nAnswer: 3*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -178\/7*a**7 + 0*a**4 + a**3 + 0*a**6 + 0*a**5 - 151 + 3*a**2 + 0*a. Find the third derivative of t(u) wrt u.\nAnswer: -21360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 12 = -2*i, -4*t - 13794 = -2*i + 5*t - 13797 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from jtttgjgjjabjj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:55 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2835 - 2839. Sort 87, 1, w, -3 in descending order.\nAnswer: 87, 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1851 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + 2*(4*(sqrt(6)\/sqrt(2))**2 + (sqrt(81)\/sqrt(3))**2 - (1 + (sqrt(30)\/sqrt(2))\/sqrt(5))).\nAnswer: -2*sqrt(3) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {i: 3, w: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 - -8. Let v = 2.8 + s. Let n = 1.99976 - v. Round n to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5 = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from dcnnr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/7 (c) -6508\/79483 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from gyqyyyhywyywyyyyyyy.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 5. Let a = 16089 + -16092. Let k(b) = -2 + 4 - b + 0. Calculate a*n(m) + 7*k(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 1278*r**5\/5 + 905*r**4\/2 + 405*r. Find the third derivative of p(v) wrt v.\nAnswer: 30672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Let d(b) = -98*b + 13. Let j(l) = d(l) - 6*o(l). Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.65 - 15.2. Is f smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25485 + 19*g**2 + 25485)*(4*g - 4*g - 2*g) + (g**2 + 5 - 5)*(-211 + 211 + 83*g) to y*g**2 + b*g**3 + s*g + u and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23062695*t**3 + 25193212*t**2 wrt t.\nAnswer: -138376170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 16) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 3.4. Which is the third biggest value? (a) 0.2 (b) l (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-2\/3)*h))\/h*h**(2\/13)*(h**1)**(-1\/16))**(-23\/5))**(3\/8) assuming h is positive.\nAnswer: h**(36961\/8320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) -1 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 90*b + 20077. Let f be p(-223). Put f, -2, 3, -77 in increasing order.\nAnswer: -77, -2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 + 13*k**2 + 15*k**2 - 50*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:46 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000101111110001 + 100010?\nAnswer: 11110000110000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -502 + 1263436209398.\nAnswer: 1263436208896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 117, 273, 493, 777, 1125, 1537?\nAnswer: 2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 244*r**2.\nAnswer: 244*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000901971 rounded to five dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 834*b + 20534. Give w(-26).\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 3\/4*y**2 + 21\/4*y = 0 for y.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9504674?\nAnswer: 2, 19, 250123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 12) + (10 + 6 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 40 (b) 3 (c) -1\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((2 - 3) + -2). Let o be 3 - 3 - 9\/d. What are the prime factors of 0 + o - (6 + -13 - 76)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 145 - 32)*(2*b + 5 + 1 - 4).\nAnswer: -332*b - 332","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 2, s: 2, c: 4, z: 1}. Give prob of picking 2 s and 2 m.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2\/15*v + 2\/15*v**2 - 2\/45*v**3 - 11. Factor r(t).\nAnswer: -2*(t - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 104.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 17. Suppose 5*f = -w + 1, -3*w + 15 = -5*f - 8. Let n be 4\/(-3)*(-9)\/w. Let d(r) = 160 - 100 - 35 - 29. Give n*k(u) + 9*d(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + 0 + 52 - (-1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 99*u - 777. Let b be h(8). Let o(a) = -4*a - 14. Give o(b).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m + 1452 - 41 = 53*m. What is the nearest to -2\/5 in m, -0.6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071060 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/8 + 91*y\/8 - 23\/2.\nAnswer: (y - 1)*(y + 92)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123698959 is divided by 87.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2\/23, 1, 0, -685, 1\/8, -3?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 11*k + 3. Let j be 19\/(-7) - (-6)\/(-21). Let w = j - -6. Put w, k, -1 in increasing order.\nAnswer: -1, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 57, 111, 169?\n\"Answer: 2*x**2 + 44*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365 + -377. List the prime factors of 768*(-6)\/j + 2\/2.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q + 10 = 0. Let k = 5 + q. Suppose 3*h - 42 = 5*t, -3*t + h - 32 + 10 = k. Are 2\/7 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -42*y**2 + 14*y. Let v(j) = j**2 - j. What is -l(u) - 14*v(u)?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 11*o + 2. Let v(d) = -5*d**2 + 32*d - 25. Let f(l) = 6*a(l) - v(l). Give f(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495?\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 12:47 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11722 + -11722. Solve p*o = 15*o + 45 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/15 + 16260848*r**2\/15 - 2203461982104*r + 8813830583520.\nAnswer: -2*(r - 4065210)**2*(r - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 1a?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -17, -16, 3, 46, 119, 228?\n\"Answer: k**3 - 18*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.97, 6, 2\/85, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49391 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/22155 and 101\/14?\nAnswer: 44310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 11037 + 58737. Let b = 70410 + y. Round b to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5453 + 5881. Calculate the greatest common factor of y and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/168)\/((-12)\/(-7))*2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91.923 - -92. Let n = t + 0.783. What is n rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -30622?\nAnswer: -30605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 264*f - 3717. Determine i(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 - 5*r. Let y be g(4). Suppose 0 = -v - 3*v + y. Suppose -6*s + 24 = -v*s. What is the smallest common multiple of 11 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 1\/2*g**3 - 1\/30*g**5 + 8*g**2 - 1\/6*g**4 + 0 + 1\/120*g**6 + 0*g. Calculate y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -938191\/33 + 28451. Let b = 23\/33 + x. What is the common denominator of b and 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7921*p - 24*f + 26*f - 15 = -7922*p, -2*f = 4*p - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 8*k. Suppose -2*p - 12 + 1 = -o, p = k. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159663856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*15\/525*7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 8*s - 4. Let v = 1 - 6. Let w be m(v). Differentiate -5 - w*t**3 - 17*t**3 + 21*t**3 wrt t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19463.3577 - -19462.46769929. Let m = 158 - 157.11. Let u = n + m. Round u to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2741652*c**3*f + 838*c**2*f - 72*c*f wrt c.\nAnswer: -16449912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/2 + 8. Which is the second smallest value? (a) -0.5 (b) z (c) 5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6080*r**3*x**2 - r**3*x + 251877015*r**2*x + 6049*x**2 wrt x.\nAnswer: 12160*r**3 + 12098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*h - 135*h + 27 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17050 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/2553 and -107\/809784.\nAnswer: 29962008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -21713727506?\nAnswer: 21713727505.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.24 + -2.44. Which is bigger: -0.083 or c?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 3.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6544 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 38847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3434902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 8. Let j = 43 + -46. Calculate the least common multiple of (54\/21)\/(0 - 9\/(-42)) and d(j).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(22)\/sqrt(2) - (3 + sqrt(44))**2.\nAnswer: -49 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 26. Let o(t) = -t**3 - t**2 + 1. Let r(u) = 5*u**3 + 10*u**2 - 4*u - 3. Let j(q) = d*r(q) - 6*o(q). Calculate j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2667455 (base 9) to base 5.\nAnswer: 333241034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 196*11\/132 - 2\/6. What is the greatest common factor of 184 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68026973699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -5\/2, 114\/7 in decreasing order.\nAnswer: 114\/7, 2, 0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express -877 - i + 28*i**2 + 876 - 24*i**2 - 33*i**4 as o*i**3 + p*i**2 + u*i + a + k*i**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 6*n + 1467. Let j = n + 857. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/867*180\/8*(-194)\/291?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755 = z - 749 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 43*z - 51. Let v(p) be the first derivative of 0*p**z + 8 - 3*p**2 + 6\/5*p**5 + 0*p**4 + 0*p. Find the second derivative of v(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -13*h. Give p(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 230*q**2 - 687*q - 1339. Determine y(-227).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-65)\/(-30) - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*k = 336*k + 825. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 = 3*k - 6*f, -3*k + 5*f - 13 = 0. Let c(p) = -2*p - 31. Let o be c(-13). Put o, k, -3 in descending order.\nAnswer: k, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 165688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5021 and -169682167?\nAnswer: 169687188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcwcwwwww. What is prob of sequence wccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/120 + g**5\/6 - g**4\/8 + 7*g**3\/6 - 37*g**2 - 2. Let c be (128\/96)\/((-2)\/(-15)). Determine z(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**2 + 1 - 1 + 35*q**2 - 54*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 + 80*l + 567. Let m be v(-6). What is the greatest common factor of m and 40665?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*2696\/(-9) - (-18)\/(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*h + 16, 2*i - h = -2*i + 43. Suppose m + 0 = 3. Solve -c + i = -m*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59242560 rounded to the nearest 100000?\nAnswer: -59200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 8*y - 4*y + r, 75 = -2*y + 3*r. Let h = 47 + y. Calculate the smallest common multiple of 20 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27386 + 601971\/22. Let l = 156\/11 + z. Find the common denominator of l and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let x = 25\/48 + -3\/16. Let z(s) be the first derivative of 1 - x*s**3 + 0*s**2 + 0*s. Determine z(n(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 444. What is the common denominator of -6 + (-644)\/(-105) + 427\/i and -65\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:08 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37200 divided by -9300\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*m + 70. Let l = 4 - m. Let c be 18*(-3 + l*7\/(-6)). Solve 0 = -4*y - c - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -10100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -22. Let g = 7.97 - u. Let w(z) = 5*z**3 - 24*z**2 - 2*z - 18. Let f be w(5). Which is the nearest to g? (a) f (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -7*o - 3*o. Are 3\/16 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 + 29194*b**4 + 887434*b**3 + 5364856*b**2 + 7790560*b - 5349248 = 0.\nAnswer: -7268, -23, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 2*s**2 - 1. Let u be v(-2). Let g = -16 - -20. Let q be g\/6 - 32\/12. Is u != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-250) - (-3702)\/(-15). Which is bigger: m or -256?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 17 + 31. Suppose 19*z + n = 18*z. Let m(a) = 5*a**2 - a + 1. Let c(d) = -6*d**2 + d - 1. Calculate z*m(t) - 6*c(t).\nAnswer: t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 414*r**4 + 2*r**2 - 4*r + 1212. Let m(p) = 416*p**4 + 3*p**2 - 6*p + 1211. Let f(h) = 2*m(h) - 3*q(h). Find the first derivative of f(x) wrt x.\nAnswer: -1640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 714*g**2 - 24831*g*w**3 + 52536968*w**3 with respect to g.\nAnswer: 1428*g - 24831*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 3. Let i be w(5). Suppose -4*n + 32 = 2*h, -4*n - h = -20 - 16. Let l = n + i. Solve l*k + 0*r + 6 = 3*r, 2*r = 5*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/((-6)\/8). Let t = 473\/2 - 5912\/25. Let s = 93\/350 + t. Which is the biggest value? (a) -0.3 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/8, -5, 2, 617?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44\/12 - ((-10 - -2) + 12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6) - (56\/21 - 7). Let q(i) = -i**3 + 7*i**2 - 11*i - 3. Let w be q(y). Solve -10 = 5*s - w*s + 3*m, 0 = 4*s + 4*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shrhttrttshtsrhs. Give prob of sequence htr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1553 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*z - 3*z - 10*z)*(z + 4*z - 3*z)*(3 - 22*z - 12*z - 4) - 2*z**3 - 2*z**3 + 6*z**3.\nAnswer: -2310*z**3 - 68*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + -9 - (52 - 76)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 43.9. Let i = 1.56 + -1.64. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, n: 4, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/12 + 11*k**3\/6 - 65*k**2\/2 - 698*k. Calculate o(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1.77, -5, -0.4 in descending order.\nAnswer: -0.2, -0.4, -1.77, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 + 2. Let t be p(0). Differentiate 56*u**2 + 0 + 47 - 104*u**t wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 12*t + 3. Let m be d(-12). Let g be (12\/9)\/2*m. Find the second derivative of -w**3 + g*w + 2*w**3 - w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 440 - 440.2. Which is the nearest to h? (a) 0.3 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298860188.\nAnswer: 2, 59, 9740933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c - 1122522 = -54*c + 4*i, 4*c + 4*i = 2244984. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-6) + 6 + (-26)\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2199934930 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -93. Solve -2*m - 8 = c*w, -w + 3*w + 11 = -3*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:54 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12823 divided by -38\nAnswer: -12823\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 3:45 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) 2\/11 (c) -3067 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.211 (b) -3 (c) -9787\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5440 divided by -72317.\nAnswer: 5440\/72317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -55.1 - -7\nAnswer: -48.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 - 7*v - 7. Let l(x) = 3*x**2 - 5*x - 5. Let o(t) = -5*d(t) + 7*l(t). Let j(h) = h. Calculate o(j(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b8547 (base 13) in base 4?\nAnswer: 10012200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/3784269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17) + (sqrt(85)*-3)\/sqrt(5)) + 3)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 8. Let c be l(6). Let j be (24\/(-16))\/((-3)\/8). Suppose 4*x - n + c*n - 53 = 0, j*n - 45 = -3*x. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2611.686 - 2612. What is v rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5782 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46704 - 46645. Solve 0 = -4*x - 8, 0 = 3*r + 64*x - g*x + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12242, 35\/23, 1\/3 in descending order.\nAnswer: 12242, 35\/23, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:12 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 2, v: 1, h: 3, y: 1, r: 3}. What is prob of picking 1 k and 3 h?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**3\/3 - 1251*u**2\/2 - 5371*u + 1494. Find the first derivative of q(i) wrt i.\nAnswer: 4*i - 1251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 3. Let k be y(-7). Let l(j) = 2*j - 14. Let n be l(k). Find the second derivative of n*h + 8*h - 74*h**3 + 49*h**3 wrt h.\nAnswer: -150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f + 1. Let b be x(-1). Let s(t) = t**3 - t + 2. Let z be s(0). What is the units digit of (2 - 2\/z)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 6, 19, 38, 63, 94, 131?\n\"Answer: 3*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.85713 weeks in hours?\nAnswer: 5351.99784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6552 + -6542. Let j = 1.1 - 1.09. Put -1\/10, k, j in ascending order.\nAnswer: -1\/10, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 5*p**2 + 3*p + 2. Let v be -4 + 4 + 16\/(-4). Calculate the remainder when 28 is divided by o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from ccvpyyt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t + 4. Let v be u(0). Find the third derivative of -68*r**4 + 4*r + 12*r**v - r**2 + 15*r**4 - 29*r**4 wrt r.\nAnswer: -1680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 146786\/5 and 29356 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, -87, 43, 2, -1 in ascending order.\nAnswer: -87, -9, -1, 2, 8, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -150, -163, -192, -243?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*s + s. Let z = 3 - s. Let j(i) = 2*i**2 - 3*i + 6. Is j(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -592 - -592.423. Round c to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 454412 + -153?\nAnswer: 454226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -17, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, 5, 169 in descending order.\nAnswer: 169, 5, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aagzaagda. Give prob of sequence aagz.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*(-3)\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -2958, 0.6, -4, -1\/6 in increasing order.\nAnswer: -2958, -4, -1\/6, 0.6, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 529307 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7573 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100464 divided by -966\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -1100010100111101101000?\nAnswer: -1100010100111101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -70*a + 232 + 488 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1319 - 1246.7. Round x to 0 dps.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -10 (c) -12\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -32, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}