diff --git "a/data/dm_maths/full_data_2/10696_11255.jsonl" "b/data/dm_maths/full_data_2/10696_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10696_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(s) = 2*s. Give j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/5)\/w**(6\/7) assuming w is positive.\nAnswer: w**(-58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 3\/17, 17, -1, 0.2?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106.2 - -715.2. Let y = j - 610. What is the third smallest value in 0.1, -2\/11, -2\/63, y?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -3*t - 7, 2*t = -3*x + 19. Suppose 635 = 3*v + t*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315240 by -1110.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16647352 (base 8) to base 10.\nAnswer: -3886826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 25*i**2 + 125*i + 1018. Determine k(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 5*v - 2. Let i be x(-3). Suppose -3*j - 23 = -s, -4*j + 78 = i*s - 2*j. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + n**4 - n**4 + (-1 + 1 + 2*n + (0 + 0 - n)*(-1 + 2 - 2))*(9*n**3 - 8*n**3 - 4*n**3).\nAnswer: -10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l**2 + 3*l + 1 + 4*l - 5*l - 379534*l**3 + 379543*l**3 to p*l**2 + y*l + i + a*l**3 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -765?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (960\/(-18))\/40*1\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxxxxxxlxllxwxxxx?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -c07076?\nAnswer: c0704c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 + 10*s - 30. Let m(n) = -2*n**2 + 6*n - 18. Let h(y) = -5*m(y) + 3*r(y). Let p(g) = 25*g**2. Determine h(p(i)).\nAnswer: -1250*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 60. Calculate the remainder when 48 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.04. What is q rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - (3 - -45) - 108 - 35.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnwxvnvnvvnwnnnx. Give prob of sequence nwxw.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 take away -0.355?\nAnswer: 177.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117963 or -117959?\nAnswer: -117963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6256)\/(-12))\/(18\/27) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 7*v + 7*v + (2 - 2 + 2*v)*(2 - v**2 - 2) + v**3 - v**3 - v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 17. What is the nearest to -1\/2 in 0.5, 1\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -407*z - 6515. Determine m(-14).\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (3 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -1 - (-6 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24640, 49280, 73914, 98542, 123164, 147780, 172390?\n\"Answer: -3*o**2 + 24649*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 42 = 3*s, 3*g = -6*s + s + 86. Suppose -2*p + 6*c = c - 33, 0 = -2*c - 10. Suppose p*z - z = 285. Calculate the highest common factor of z and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231.132 and -0.4.\nAnswer: 92.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((sqrt(72) - (sqrt(72) + 2*(-1 + sqrt(72)))) + sqrt(72) + (sqrt(72) - -2*sqrt(72)) + 1)*5 - 1*sqrt(72)*5*1*-4))**2.\nAnswer: 7200*sqrt(2) + 65200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3746720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -5\/6 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.019492 + 0.0765132. Let w = x - 0.096. What is w rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -61*r**2. Let m(q) = 273*q. Give b(m(y)).\nAnswer: -4546269*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2891837241 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346197.\nAnswer: 433, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495584 is divided by 885?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 35, 24, -3, -52, -129, -240, -391?\n\"Answer: -o**3 + o**2 + 3*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9358 + -9354. Which is the closest to 0.03? (a) -0.09 (b) j (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16313 - -29527. Is w a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) 3\/7 (c) -7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 3 - -14) + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085196 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15019, -30212, -45405, -60598, -75791, -90984?\n\"Answer: -15193*d + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/56 and -25\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 7*s - 308. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1234*g**3 + 301*g**2 + 2*g + 3. Let n(t) = -3704*t**3 - 904*t**2 - 6*t - 10. Let i(q) = 10*f(q) + 3*n(q). Find the third derivative of i(r) wrt r.\nAnswer: 7368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.1 (c) 5 (d) 1950 (e) 2\/5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 681, 3274, 7663, 13896, 22021?\n\"Answer: 8*s**3 + 850*s**2 - 13*s - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27869\/42 - -3991\/6. Let p = 122\/231 - d. Let q = -4 + 2. Sort p, -5, 0.4, q.\nAnswer: -5, q, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 + 670*r**3 + 114217*r**2 + 667320*r + 992016 = 0. What is r?\nAnswer: -332, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/3135 and -37\/1485.\nAnswer: 28215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81194165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 130 = -10*o. Calculate the lowest common multiple of o and -6*((-10)\/6 - 1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c - 2 - 1)*(867*c + 6075*c - 1785*c)*(5*c - c - 3*c).\nAnswer: -5157*c**3 - 15471*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 - o**4\/24 - o**3 - 11*o**2. Let g be k(3). Suppose g = -9*h + 881 + 91. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320 - 318. Is 7741\/(2\/m*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:27 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/9 - 56*k\/9 + 104\/9 = 0.\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 10*u - 28. What is m(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18355 + 0\/(-5)*1\/3*-3?\nAnswer: 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -387.53 from -0.118.\nAnswer: 387.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8 and -9\/270834866?\nAnswer: 1083339464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/5 + 4996*x**3 + 49957*x**2\/5 + 24978*x\/5.\nAnswer: x*(x + 1)**2*(x + 24978)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 13*s**2 - 11. Let p(c) = 4*c**2 + 4. Calculate 2*a(d) + 7*p(d).\nAnswer: 2*d**3 + 2*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 172 - 3366420*d**2 - 34*d + 3366422*d**2.\nAnswer: 2*d**2 - 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -617\/3926 + 1\/302. Let a = 67.06 + 0.94. Let s = a + -67.8. Put s, 3, l in descending order.\nAnswer: 3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 166) + (-1273 - -1370)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14914.\nAnswer: 2, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w + 0*w)*(-3*w - 2*w + 7*w) - 11 - 382*w + 255*w + 126*w - 19*w**2 as m*w + b*w**2 + y and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m + 4. Suppose 5*i = -5*p - 15, -3*p + 1 = -3*i - 8. Let l be n(i). Differentiate 2*u**4 + 2*u**l - 5*u**4 - u**4 + 8 wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 707 + -713. Let a(x) be the first derivative of x**3\/6 + x + 1. Let d(y) be the first derivative of a(y). Give d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)\/u)\/(u*u*u\/u**4))\/((u\/(u**(-1\/9)\/u*u)*u)\/(u**(-3\/5)\/u))*(u**(2\/7)*u\/(((u\/(u*(u**6\/u)\/u))\/u)\/u))\/(u**5\/u**(-7)) assuming u is positive.\nAnswer: u**(-2444\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 49 = -4*m, -m + 5*g = -5*m + 47. Let u be (m\/5 - 2)*5. Suppose u*h - 14 = 4. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l + 6. Solve 0 = l*x + 4 - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4942244 (b) -2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(sqrt(63)*1 + 3) - (5 + sqrt(2268) + 1 + sqrt(2268))))**2 + 0.\nAnswer: -144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**7\/70 + x**6\/50 - 3*x**5\/100 - x**4\/20 - 5*x. Factor t(m).\nAnswer: 3*m**2*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 4, 0 in ascending order.\nAnswer: -7, -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5 - 3*b - 4 + 0 + 4*b. Let h(u) = -5*u - 2. Let o(x) = h(x) + 2*s(x). Calculate o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16750 greater than -15821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -314*i**3*k**2*z**3 - 158*i**3*k*z**3 - 7*i**2*k*z**3 + 55*i**2*z**3 + 3*k**2*z**2 wrt i.\nAnswer: -1884*k**2*z**3 - 948*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2\/5 (c) -1.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/29)\/(1604\/46516)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156\/11*o**2 + 34\/11*o**3 - 2\/11*o**4 + 256\/11 + 64\/11*o = 0. Calculate o.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 7 + 4 + d. Calculate the remainder when 61 is divided by s(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 5*v + 256. Let q = v + -28. Find the third derivative of -171*l**5 + l**q - l**4 + 9*l**2 + 198*l**5 wrt l.\nAnswer: 1620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68*-1680990.\nAnswer: 1143073.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.5 + -5.365. Let c = 1 - 1.11. Let r = n + c. Round r to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((20\/5)\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -3)*12\/(-9). Solve -1 + 5 = -d*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tby when three letters picked without replacement from {s: 5, b: 2, t: 3, y: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2 + 346*h + 3. Let c(d) = 3*d**2 - 117*d - 1. Determine 17*c(v) + 6*y(v).\nAnswer: -3*v**2 + 87*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215874206 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 3, y: 3, b: 5}. What is prob of picking 3 b and 1 y?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 6 = -8*c. Suppose 0 = -11*v + 23*v - 25632. Suppose -5*i = 0, 4*s - 3124 = -c*i + v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 2*l - 4. Let g be p(-3). Let o = -13 - g. Let r = -42 - -49. What is the remainder when o is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 418 + -1313. Let p = 1478 + b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**3 + 2*t**3 - 9*t**4 + t**2 - 107 + 5*t**4 + 2*t - 30*t**3 + 106 as b*t**2 + j*t**3 + g*t + h*t**4 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z**2 + 10*z**2 - 4*z**5 + (-7*z**4 - 15*z**4 - 8*z**4)*(-3*z + 4*z - 3*z) + 5*z**5 + 6*z**3 - 6*z**3.\nAnswer: 61*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -57*k - 2. Let t(u) = 59*u + 3. Let w(q) = 3*j(q) + 2*t(q). Let o(s) = 702*s - 1404*s + 701*s. Determine w(o(c)).\nAnswer: 53*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:48 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/10*(-12)\/9. Let y be 0*(1 + 0) + t. Suppose 2 = y*c, 7*c = -v + 4*c + 8. Solve -v*w - 10 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*n - 17. Is n greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -112525?\nAnswer: 112530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Suppose 4*k = -2*u + 8, -7*k = -11*k. Sort y, u, 5 in decreasing order.\nAnswer: 5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14732.036 rounded to the nearest one hundred?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15120913 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 3*w**5\/20 + 7*w**4\/12 - 7*w**3\/3 + 344*w. Find the second derivative of n(g) wrt g.\nAnswer: 18*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i**3 + 12*i**2 - 4*i + 22. Let b be s(-10). Suppose -9*d - 6082 + b = 0. What are the prime factors of d?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -769725*d**2 + 27*d - 769793*d**2 + 1539687*d**2 to u*d + k + y*d**2 and give y.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-131)\/393)\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k - 1. Let f(a) be the second derivative of -a**3\/6 - a**2\/2 - 1512*a. Calculate f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11491191 is divided by 1870.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t**2 - 895*t + 680. Let o(d) = 2*d**2 - 128*d + 96. Let g(q) = 3*j(q) - 20*o(q). Find k, given that g(k) = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:12 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0016 to two decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = -4. Suppose 2*t + 8 = w*t. Solve t*v - 19 = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-7)*(-93331)\/(-6368) + -1*8 and 2 - (69\/40 + -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*n = 14, 0 = -187*n + 184*n - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14210 and 11007066?\nAnswer: 55035330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2714, -2958, -3196, -3410, -3582?\nAnswer: -3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -32*o. Let l(i) be the third derivative of i**7\/280 + i**4\/24 + 4*i**3 - i**2 - 29. Let w(b) be the second derivative of l(b). Calculate w(f(u)).\nAnswer: 9216*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/11469 and 89\/7646.\nAnswer: 22938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-337 - 361 + 411)*(1 - 1 - 3*f**2) + 5*f + 3*f**2 - 4*f - 2*f**2 as k*f + y + p*f**2 and give p.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 15691.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 1831693492?\nAnswer: -1831693497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 21*z. Let b(c) = 7*c**2 - 79*c + 517. Let u(y) = b(y) - 6*i(y). What is u(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0 + 0 + (-2*s + s + 6*s)*(-16 - 10 + 6).\nAnswer: -102*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 1)\/(2\/12). Let s be -1*(1 + 1\/((-4)\/w)). Which is the fourth smallest value? (a) 0.4 (b) 2 (c) 1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, -2, 2.\nAnswer: -23, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(190)\/(sqrt(5) + sqrt(5) + sqrt(80)))\/(sqrt(8)\/(sqrt(4) - (sqrt(4) - sqrt(12)\/sqrt(3))))*-5.\nAnswer: -35*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1573090*j**3 + 33*j - 409935117?\nAnswer: -4719270*j**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -8 (b) 2\/7 (c) -19.7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + 3*sqrt(243) + 3 + ((sqrt(120)\/sqrt(4))\/sqrt(10) - (5 + sqrt(27))))**2*-5.\nAnswer: -9615 + 1750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:11 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a + 1. Let v be q(2). Let r be (-220)\/8*(1 + v). Calculate the highest common factor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 4. Let u be c(-7). Let o be (-5)\/15 - (-1)\/u. Is o at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4771 = -5*s - 4416. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f**3 - 16*f**2 + 6*f. Let i(x) = 2 - 6*x - 1 - 29*x**3 + 32*x**2 - 3*x - 4*x. Let c(y) = -4*i(y) - 9*w(y). Factor c(r).\nAnswer: -2*(r - 1)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5403476 - -57?\nAnswer: 5403533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 - 5*w + 5. Let y be j(-5). Suppose -y*q + 13 = -12. Suppose 18 = -5*d - l, 12 = -7*d + 2*d - 4*l. Put d, q, -3 in decreasing order.\nAnswer: q, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 514*k**3 - 4*k**2 + 5*k - 1. Suppose -w + 4*g + 1 = -12, 0 = w + 4*g + 11. List the prime factors of n(w).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/(-195) - 25160275\/(-247) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/13983 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = -6. Let f be 84\/y*(-8)\/6. Suppose -2*w = -6, w = 3*r - 79 - f. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*c + 96*c + 1064. Solve -86*q + 20 = -c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2. Let x(k) = 6*k**2 + k - 2. Let v be x(1). Let l be m(v). Let n = -0.07 + -2.93. What is the nearest to 0.1 in n, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 - 41 = 87*l + 146. Let s(g) = -2*g**3 - 8*g + 5. Let p(b) = -3*b + 12*b + 2 + 3*b**3 - 8 + 0. Calculate l*s(h) - 5*p(h).\nAnswer: -3*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.3. Let q = -0.2 + -0.8. Let g = q + 1.2. Is s greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1691 = -1885*x + 621*x - 427. Let v = 0.3 + -0.4. Let m be 0 - (1 - -1)\/(-18). Which is the nearest to -0.1? (a) x (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-735)\/(-25)*10\/4. Let m = t - 66. Find the common denominator of m and (-705)\/72 - (-4)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409117.\nAnswer: 599, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-25))\/h*h\/h**(-1\/19)*(h*h**(-1\/32)*h)\/h**(-13) assuming h is positive.\nAnswer: h**(24941\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 7*s + 10. Suppose 3*x - 7*x - 32 = 0. Let j be c(x). Suppose -115 = -j*m - 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 236081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 25*t**2 + 109*t + 805. What is i(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80.7 + -11.3. Let v = d - -186. Let h = v + -93.99989. Round h to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3856 or 4102?\nAnswer: 4102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + 1 - 18.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p - 23*p + 16. What is the third derivative of -8*r**4 - 26*r**5 - 3*r**p - 63*r**2 + 11*r**4 wrt r?\nAnswer: -1560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyyygrryy. What is prob of sequence rrg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 47528 (c) -1\/24 (d) -3 (e) 0.2 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1069?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020 a factor of 522318600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -27. Suppose 0 = -a + 4*a - q. Solve 0 = -a*n + 2*n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by 30826?\nAnswer: 178\/15413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -9. Let f be 24\/(-32) + (-38)\/b. Calculate the common denominator of -37\/11 and (-1)\/f + 93\/20.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-620)\/25)\/(-4) + -3 + (-14 - -7).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**4*n + 399817*c**2 + 21*c*n + 36*c + 291*n - 6 wrt c?\nAnswer: -120*c**2*n + 799634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**3 - w**4 + 13655*w**2 + 103*w - 27312*w**2 + 13657*w**2 to the form x + p*w**2 + a*w**4 + y*w**3 + b*w and give b.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -9975 - 5253. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 4*r**2 + 7*r - 14. Let h be v(4). What is the highest common factor of h and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 6 + 8 + 0 + d**3 + (-4*d**5 + d**5 + 2*d**5)*(1 + 3 - 5).\nAnswer: 3*d**5 + d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q*(q*q\/(q*((q\/q**(4\/3))\/q*q*q)\/q))\/q*(q**(-9))**(-8\/11))**(-10\/13) assuming q is positive.\nAnswer: q**(-2270\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 + 15*p - 28. Let a(k) = -2*k**2 + k - 6. Let q(d) = 3*a(d) - o(d). Give q(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 - -193.4. Let u = 803\/7 - 115. Sort 3\/4, -5, u, q in ascending order.\nAnswer: -5, u, q, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/48 and -187\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1492, 1, -2707 in decreasing order.\nAnswer: 1, -1492, -2707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.8 - -48. Is -0.14 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37\/(-14)*-2 + 2\/(-7). Solve -4*i + g*i - 2 = 0, 9 = -v + 5*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/12 + (-753)\/(-18)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7512 = -3*t - t + 4*o, 0 = -3*t + 4*o - 5636. Let k = t - -3669\/2. Find the common denominator of k and -3 + 2 - 460\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -6*x**2\/11 + 187302*x + 2060328\/11 = 0.\nAnswer: -1, 343388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1330 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10744.9999990898 + -10745. What is b rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-426 - 38 - 14)*(0 + 0 - k + (2*k - 3*k + 3*k)*(2 - 2 - 2) + 2 - 3 + 0 + k).\nAnswer: 1912*k + 478","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1874.32 from 194.18.\nAnswer: 2068.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-42) - 44\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021 + -4433?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 63. Sort 0, -5, u in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2347278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 + 3.9. Which is the closest to -2? (a) 3 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326367 divided by 3.\nAnswer: -108789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 518\/2595 + 1\/2595. Sort 8, -34, m in descending order.\nAnswer: 8, m, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*f**3 - 4244 - 2*f**2 + 83*f**3 + 5262 wrt f?\nAnswer: 936*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49584 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 382160 and 2366400?\nAnswer: 664958400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 8 + (-24 + -35 - -72)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**4 - 6*o**3 - 39*o**2 - 7*o. Let n(j) = -j**3 + 5*j**2 - j. Let m(g) = -n(g) - v(g). Solve m(y) = 0 for y.\nAnswer: -2, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*(-1)\/(-112) + 2\/16\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/408)\/((-6)\/3)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -8 - (-60 - -2). Calculate the highest common factor of 155 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -909 - -896. Let y = -9.1 - -0.1. Let g = x - y. Which is the nearest to -1? (a) 1\/4 (b) -5\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.06, -3, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, r: 1, b: 1, t: 1, h: 2}. Give prob of sequence lr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.003603024 - 16.424402524. Let z = -16.3808 - p. Let u = 0.04 - z. What is u rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -34*l - 1 + 15 + 16*l + l**2 - 11*l**2 + 32*l. Let a(x) = 2*x**2 - 3*x - 3. Let d = -15 + 9. Calculate d*t(n) - 28*a(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 6\/2) + 6. Suppose 10*i = c*i + 24. Suppose t - 10 = i*t. Sort 12, -4, t in increasing order.\nAnswer: -4, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 15*r**2 + r + 2. Let m = -12 - -27. Let j be b(m). Suppose -9 + j = 2*k. Solve 4*w + n + 3*n = 8, 0 = k*w + 2*n - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6342*t + 37469 = -69897 + 220677 + 324287 for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 2*i)*(1675 - 1004 + 2*i - 984).\nAnswer: 2*i**2 - 313*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12507\/55 + 9\/15. Which is smaller: a or 229?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:00 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2*(-15)\/(-10). Solve w*c = -c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72647 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 2) + (-886 - -883)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 577*w**2 + 542*w**2 - 1649*w**2 + 535*w**2. Let v(z) be the first derivative of 0*z**3 + z**3 - 1 + 2. Calculate v(s(o)).\nAnswer: 75*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100639.948993 + -100640. Let o = -0.2881 + 0.3391. Let y = j + o. Round y to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.8844723 - -15.884. What is s rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246 + -199. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 833. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = m + 4*k + 2, -2*m + 4*k = -12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*3\/(-6) - -43. Suppose -7*c = -3*c - b. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650782158 to the nearest integer?\nAnswer: 25510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 53 = -3*l + 25, 5*l - 103 = -4*c. Suppose 0 = -2*a - 5*r + 18 + 1, 4*a - l = -5*r. Calculate the highest common factor of a and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:15 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 less than or equal to 20980\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1)**2 + sqrt(243))*2*-5 + (-3*(sqrt(243) - (0 + sqrt(243)))*1)**2.\nAnswer: -2440 - 270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 - -1.83. What is the smallest value in -5, d, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -3, -4, -0.2, 5, 0.046?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -14. Suppose 5*x + p - 20 = y, -3*x + 2*p = -0 + 1. Solve f - v - 3 = -x*f, 0 = 2*f + 5*v + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51191, 204824, 460883, 819368, 1280279, 1843616, 2509379?\n\"Answer: 51213*y**2 - 6*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6. Let u be (-1)\/((-1)\/w)*-6. Suppose 12 = 4*p + y, 5*p - 4*y - u = 18. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 21 - 202*s**4 - 6 + (4*s - s**3 - 4*s)*(-3*s + 3*s + 2*s).\nAnswer: -204*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -3\/7, 2\/13 in ascending order.\nAnswer: -3\/7, -0.3, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1166.468877 seconds?\nAnswer: 0.0019286853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000598671 rounded to seven decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzq when four letters picked without replacement from {q: 3, z: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -201496 divided by -89\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.0127ml in litres?\nAnswer: 0.8490127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m - 3*d = -2252, -3*m = 2*d - 1351. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 3, i: 1}. What is prob of sequence bnni?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-1155)\/385)\/(((-3)\/20)\/((-2)\/(-8))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-3) + 2)*-3. Let w(q) = q + 3. Let f be w(o). Find x, given that x**2 - f - x**3 + x + 4 + 0*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10032311300 (base 4) to base 6.\nAnswer: 35435532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 16*r - 34. Let y be l(15). Suppose 7*p = y + 33. Solve -57*m - 15 = -p*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6961? (a) 0.0433 (b) -2 (c) -5\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192676 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107*p = 1104*p + 333. What are the prime factors of p?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsguzgesbbugg. Give prob of picking 1 e and 2 u.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/73184 and -85\/18296.\nAnswer: 73184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -17 + 13 - (-153 + 2) is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8) - -5*sqrt(392)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13046*j + 13051*j - 3*n = 40, -3*n = 4*j - 59 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-66))\/(5 - 3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -5 in descending order.\nAnswer: 8, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -17. What is the remainder when 53 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*o + 242 = 473*o. Sort 3, o, 2 in ascending order.\nAnswer: o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192418 times 0.06?\nAnswer: -11545.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/2 + (-3)\/(-2). Let p(y) = 2*y + 2. Let s be p(a). Let x = s - 13. What is the second smallest value in x, -18, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1308320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 4*o + 3*q, -2*o = -2*q - 2*q - 80. Let d = 45 - o. Which is the closest to 2\/5? (a) 0.3 (b) d (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 25. Let n(g) = -g + 31 - c - g. What is n(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97724, -195443, -293158, -390869, -488576?\nAnswer: -586279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -6*d**4 + 49*d**3 + 183*d**2 - 48*d + 2269. Factor t(g).\nAnswer: -3*(g - 8)*(g + 2)*(8*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -474, -1071, -1916, -3015?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4897 - ((-12)\/9)\/((-76)\/285)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*r**4 - 2*r**4 + r**4) + 96*r**3 + r**4 + 2080 - 2080 - r**2.\nAnswer: 3*r**4 + 96*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -217*c**8\/4 - 53*c**4\/12 - 5*c**2\/2 + 339*c. What is the third derivative of x(s) wrt s?\nAnswer: -364560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 8*y**2 + 4. Let v be (-4 + 22\/2)\/1. Let d(f) = -11*f**3 - 16*f**2 + 7. Let g(z) = v*n(z) - 4*d(z). Find the third derivative of g(t) wrt t.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4823076 to the power of 1\/2, to the nearest integer?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 2*k**3 - 4*k**3 + (-1 + 0 - 1)*(2*k - 2*k - 2*k**3 + (-5 - 8*k + 5)*(-1 + 1 + 2*k**2)) in the form n*k**3 + g*k + l + z*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19546276*a**2*j**3 + 11800885*a**2*j**2 - 2*j**3 - 11*j**2 wrt j.\nAnswer: 117277656*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2293 + 4357. Is m a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1904\/(-469))*7*(-3)\/(-84)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -14*t + 140. Let p(f) = 12*f**3 - 10*f**2. Let h(z) = z**3 - z**2. Determine t*h(q) - 2*p(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7191641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306) + -3*(sqrt(306) - sqrt(306)*5) - sqrt(306) - sqrt(306) - sqrt(306) - sqrt(306))*-1)\/((sqrt(40)\/(sqrt(20)\/sqrt(2)))\/(-1*sqrt(98))).\nAnswer: 189*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1525016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.9. Suppose 2*z + 3 = -1. Let n(i) = -i**3 + 6*i**2 - 4*i - 3. Let f be n(5). Which is the nearest to x? (a) -0.2 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 - 20*p**2 - 6 + 23*p**2)*(0 - 3*p + 0).\nAnswer: 6*p**3 + 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -49 - (-12)\/8*-2. Let u = v - -55. What is the first derivative of 35*t**u - 55*t**3 + 32*t**3 + 20 wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 461215490*h**4 - h + 232154434 wrt h.\nAnswer: 5534585880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let a be 4713*1*(-35)\/(-3). Suppose r - 6*r + 5*k + a = 0, 0 = t*r + 5*k - 33015. Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 63707711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 2. Let i(k) be the second derivative of -k**5\/20 - k**4\/12 + k**3\/6 - 5326*k. What is -2*i(m) - s(m)?\nAnswer: 2*m**3 + 3*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4456.54 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69282?\nAnswer: 2, 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -29, 0.01, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 4*g + 3. Is t(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*h + 403*h + 606*h - 68302 = -150*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (3 + -5)\/(-1). Which is smaller: l or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31153907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*25.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12005612 divided by 3?\nAnswer: -12005612\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77960, -155322, -232688, -310058, -387432?\n\"Answer: -2*c**2 - 77356*c - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otg when three letters picked without replacement from oaogtpwp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most 78756.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 1020*g - 1027*g = 134, 5*s + 6*g = 108 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2420\/737773 or -1?\nAnswer: -2420\/737773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/20)\/((-2209)\/22090).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 4*x + 16 = -23*r, -4*r - 4*x = 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2060808 and 816.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -35*o**2 - 11*o + 3. Let a(i) = -18*i**2 - 6*i + 2. Let w(v) = 5*a(v) - 3*p(v). Is 7 a factor of w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4047601*c - 2 + 4047600*c + 2.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2221441, -2221449, -2221457, -2221465, -2221473?\nAnswer: -2221481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 288 - d**3 + 2*d**3.\nAnswer: -d**3 - 288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.63 - 0.87. Let o = -42.64 - i. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*t + 34639 = 244*t + 176*t for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b - 2421 = 143*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 - 98 = 39*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.053785864239 - 0.36\nAnswer: -0.413785864239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -92*p + 4. Let k be f(-1). Suppose -6*y - 2*y = -k. Which is smaller: 13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 18. Let r(z) = z**2 - 3*z - 5. Let c be r(4). Let b = c + 1. Does 9 divide i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/6)*i*i**(-1\/3)*i*(i*(i\/((i*i**0\/i)\/i))\/i)**26 assuming i is positive.\nAnswer: i**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122011143 (base 5) to base 13.\nAnswer: 173677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2843*s**4 - 79*s**3 + 90*s + 5459.\nAnswer: -34116*s**2 - 474*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121451 smaller than 441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 35, -106, -389, -862, -1573, -2570?\n\"Answer: -8*r**3 + r**2 + 6*r + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1421, 1437, 1469, 1523, 1605, 1721, 1877?\n\"Answer: j**3 + 2*j**2 + 3*j + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:01 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 31 + 25*j - 32 - 148.\nAnswer: 15*j - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1604 - -0.0332. Let j = b - -11.5872. What is j rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 4. Suppose -49 = -5*m + 146. What is the remainder when m is divided by o(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9066386 is divided by 1295198.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9595085 is divided by 743?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3\/2 (c) -1\/3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53\/5 of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2)*1)\/2. Suppose 0 = -5*t - o*t + 80. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 30.24757 micrometers?\nAnswer: 0.003024757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8557 + 1?\nAnswer: -8556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 862208791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52781593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2038 + -3 + (-9)\/9. Suppose k = 15*b + 114. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p\/(p\/(p\/(p\/p**(4\/3)))))\/p)\/p*p)**12 assuming p is positive.\nAnswer: p**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 20*c + 45. Let l(i) = -5*i**2 + i**3 + 2*i + 3*i**2 - 2*i**2 - 1. Calculate the remainder when l(4) is divided by w(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.42, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4771245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4*r - 4, -4*f + 8 = -3*r + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 - -371. What is the nearest to 3 in -0.2, -3\/4, -8, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*3\/(36\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787, 3140, 7061, 12550?\nAnswer: 19607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*((-8505)\/54)\/(-105).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*w + i, 0*i = -w + 2*i - 6. Let m be (-1 + 4)*(-4)\/6. Is w at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (68 + -141 + 32)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 14) to base 9.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 37306 and 1.\nAnswer: 37307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-10)\/(j\/(((j**(2\/5)\/j*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190443 + -190443.0230377. Let m = i - -0.023. Round m to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-6)\/30)\/((-2)\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 < 2.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutqvbx. What is prob of sequence uxu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k\/k**13)*k\/k**(-3\/7)*(k\/(k**(-2)*k*k)*k)**(2\/21) assuming k is positive.\nAnswer: k**(286\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 0. Suppose 0 = 2*i - l - 9. What is the greatest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 163200?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93583 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -229562.88 rounded to the nearest ten?\nAnswer: -229560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 25. What is the second biggest value in 3, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228\/7 > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.148586 and 170506.\nAnswer: 170503.851414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -155, -343, -605, -941?\n\"Answer: -37*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -57, 0.4, 5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-20)\/(-8) - 3). Suppose 2*x + n*x = 5*r - 13, r - 5 = x. Differentiate -40*w - 2 - r - 10 with respect to w.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*c**3 + 25*c**3 + 44*c**3)*(2*c - 7*c + 4*c - 2)*(0 - 4 + 2).\nAnswer: 220*c**4 + 440*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {h: 2, j: 5, s: 1, t: 1, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2030*f**2. Let i(v) = -v**2. What is r(i(n))?\nAnswer: 2030*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s. Let q be s + (2 - 2) + 14. Let p = 36 - q. What is the smallest common multiple of 20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -42.48. Let u = d + 14.52. Let y = 6 + -1. Sort -4, y, u in decreasing order.\nAnswer: u, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**3 - 2*i - 1. Let o be g(-1). Sort 5, 4, o, 3 in ascending order.\nAnswer: 3, 4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115*s**4 + 13*s**3 - 6*s**2 - 34349 wrt s?\nAnswer: 460*s**3 + 39*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (sqrt(156) - 1*(sqrt(156) - sqrt(156)*-2))\/((sqrt(84)*1)\/sqrt(7)).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + f + 27 = 0, 124*f + 393 = 2*a - 1967 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/52 and 73\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 3*b**5\/20 - 25*b**4\/16 + 21*b**3\/4 - 27*b**2\/8 + 2*b - 35. Suppose a(z) = 0. What is z?\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 - 16*b**2 - 52*b - 27. Let v be y(14). Calculate the greatest common divisor of v and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 38. What is s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-479)\/(308476\/(-70035))?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3073 = -4*x - 985. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*o + 16, 0 = -19*o + 24*o - 3*t - 44. Let f = -6 - -11. Which is the fourth smallest value? (a) o (b) f (c) -1\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -2188\nAnswer: -19692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -2 - (-3 + -3). Suppose -3*r - 7*x = -3*x - 21, 2*r - c = -4*x. Solve 1 = 3*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-1)\/(-3)*35808\/20888.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*c**4 + 7048928*c**3 - 74019900*c**2 + 99134676*c - 35688600 = 0. Calculate c.\nAnswer: -110150, 3\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81591131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3246 and 3?\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 6073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - -14) + -9 + 2 is divided by (-4)\/(-6)*6\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.1683004 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(1053)*-6 + (-6*(-1 + sqrt(1053)) + sqrt(1053))**2).\nAnswer: -1080*sqrt(13) + 105444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Suppose -m = -3*m - d. Let s be (-3)\/(6\/2) - m. Which is smaller: s or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 8*d**2 + 8*d + 1. Let v be q(7). Suppose 4 = 4*b - v. Is 31 a factor of 2571\/21 + b\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.65117km in millimeters?\nAnswer: 9651170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -157605 + -313?\nAnswer: -158018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 12*u = 21. Let n(k) = 4*k + 7. Let x be n(u). Suppose p + p + 4*s - 480 = 0, -x*p - 5*s = -722. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90801, -90799, -90797, -90795?\nAnswer: -90793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 17*v - 84. Let y(t) = 2*t**2 - 30*t + 24. Let l be y(14). Let n be k(l). Let m(s) = s**2 - s + 27. What is m(n)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 651*p - 1298.\nAnswer: -(p + 2)*(p + 649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/6)\/(5\/85)*(-1 + -1633).\nAnswer: 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*p - 5 = -3, 2*p = i. Let h(y) = -y + 5. Let g be h(0). Suppose 0 = -g*m - 0*m + 25. Sort i, m, 2 in decreasing order.\nAnswer: m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 18*y**2 + 114*y + 16. Let o be w(10). Is o greater than -6579\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4\/3 + 385*v**3\/3 + 17615*v**2\/3 - 165745*v\/3 - 60990 = 0. What is v?\nAnswer: -38, -1, 9, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25359, 99851, 223475, 396231, 618119, 889139?\nAnswer: 1209291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353335 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0 - -3) + 0. Suppose -y*o + 41 = -44. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -3. Suppose 8*k = 3*k. Let d(x) = -x + 16. Let a be d(k). Calculate the highest common divisor of j and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 61639*a**2 - 29*a + 51. Is i(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -4*f - f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/280)\/(135\/80).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b + 473*b - 158*b + 10*t = 156*b + 30, -4*b = 3*t - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 - 6 = 0. Calculate the smallest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6 + 6*v + v**2 + 0*v**2 + 2. Suppose 82*z - 168 = 75*z. Let i be 3 - (-17)\/((-51)\/z). Calculate s(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -49*h**5\/20 + 5*h**4\/12 + h**2\/2 - 2*h + 5. Find the third derivative of k(p) wrt p.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*8\/(48\/(-45)). Suppose z*f = 30 + 15. Suppose 10*c - f*c - 3 = 0. Is c at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -7*r. Suppose r = -o - 3. Let f = -2.02331 + 0.02331. Put 0.5, f, o, 5 in decreasing order.\nAnswer: 5, 0.5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 551 + -540. Suppose 3*d + 57 = 48, -3*d = -2*r + n. Solve -4*b + r = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65567 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(833) + 3 + sqrt(833) + 0)*6)**2.\nAnswer: 6048*sqrt(17) + 121248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/11*c**4 + 12\/11*c**2 + 4\/11*c**3 + 2\/11 - 10\/11*c + 6\/11*c**5 = 0. What is c?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 + -4509\/8. What is the closest to 1\/2 in p, 0.1, -2, 15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -15. Calculate the greatest common factor of l and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let w(r) = -6*r**3 - 10*r**2. Calculate 60*q(b) - 6*w(b).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (-1 + sqrt(2) - sqrt(2)) + 0)*4 + 0 + ((sqrt(128) - (0 + sqrt(128)))*1 - -1*sqrt(128)*1)**2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64586561 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013863 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167559317 to the nearest integer?\nAnswer: 12944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16433 + 23153. Is n a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/6)\/((-16)\/(-32)). Let w(l) be the third derivative of 2*l**2 + 4\/15*l**5 - x*l**4 + 1\/6*l**3 + 0 + 0*l. Factor w(t).\nAnswer: (4*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -6 + (24 - 21) - 4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110*4.01\nAnswer: -441.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 5991, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/90 and 29\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -28, -48, -72, -100?\n\"Answer: -2*j**2 - 10*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:29 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 163*y**3 + 39*y - 41*y - 20*y**3 + 23 to the form n*y**2 + u + f*y**3 + i*y and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/70 + y**6\/40 - 3*y**5\/20 - 5*y**4\/8 - y**3 - 4*y**2. Solve v(t) = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20096 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18711055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3519634.\nAnswer: 2, 619, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.64555 to one dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091696 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53611*o**2 + 53703*o**2 - 107306*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 7*r - 9. Let i be y(-4). Let k = i - -16. Let w(c) = c**3 + 7*c**2 + 7*c + 3. What is the tens digit of w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14161323?\nAnswer: 3, 11, 17, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10768514098800 - 0.\nAnswer: -10768514098800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3289 - 6576 + 302*r + 3287 to the form h + i*r and give i.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5 = j + 2*j, -20 = -4*j - 2*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, and 2 q when four letters picked without replacement from ppyqypqyppzyyqqyqyq?\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, e: 2, d: 1, g: 2, q: 10}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 65. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/9205 and -94\/27615.\nAnswer: 27615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**2 - 26*h - 309.\nAnswer: -8*h - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o - 755 = 235 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(12\/(-4))*2\/1. Solve -c = 2*t - 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -43. Calculate the common denominator of u\/33*1*(-4)\/(-3) and 79\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 7*z - 2. Let d be s(5). Let r be 78\/4 + 4\/d. Calculate the greatest common factor of r and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*-1*sqrt(272) + -2 + -2 + 0)**2.\nAnswer: 576*sqrt(17) + 88144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65093557.\nAnswer: 107, 773, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 0, -51, -156, -333, -600?\n\"Answer: -3*c**3 + 6*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2727410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 8*u**2 + 2*u**2 - 2*u**2 - 12*u**2 - 2*u.\nAnswer: -17*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 664 or -1\/12?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*85\/(-15)*-15?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.514816 (b) -3 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*9\/(-24) + (-7305)\/(-24). Calculate the greatest common divisor of 38 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21889, -21887, -21885?\nAnswer: -21883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*t - 4*t + 3 - 14*t - 696*t**2.\nAnswer: -696*t**2 - 212*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3937583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/15 + 1300*d**2\/3 - 5268226*d\/15 - 21177032\/15 = 0?\nAnswer: -4, 1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) + 1)*4 + sqrt(7) + sqrt(315)\/(sqrt(15)\/sqrt(3)) - (-5*(sqrt(77)\/(sqrt(22)\/sqrt(2)) + 4 + (sqrt(7) - -2*sqrt(7))))**2.\nAnswer: -3196 - 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*b + 13, -2*b - d = 31 - 36. Let s(p) be the second derivative of -12*p - 4\/3*p**4 + 0 - 1\/10*p**5 - 16\/3*p**3 + 0*p**b. Factor s(u).\nAnswer: -2*u*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503478179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + o**2 + 4. Let w(p) = -p**3 - 2. Let g(s) = 5*w(s) + 3*x(s). Let q be g(-3). Find the second derivative of -2*f**3 + 1 + 2*f + q*f - 1 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-60)\/18. Let g be 2 + p - 1\/(1\/(-28)). Suppose -t + 3*t - 8 = 0. Solve 5*z = 5*d + g, -z - 4 - 1 = t*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - v - 8 = 11, -v + 11 = s. Let p be (s - (-156)\/(-42)) + (-4)\/14. Suppose 0 = -3*w + 2*w + 2. Solve w*f - a + p*a = -7, 10 = -2*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18439 times 0.77\nAnswer: -14198.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124022202 (base 5) to base 14.\nAnswer: 11c8d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 346*((-544218)\/4)\/3. Let c = f + 23091619. Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -1 (b) -4\/7 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*2\/(-8))\/((-11)\/(-22)). Which is bigger: w or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05334965 minus -14.5403?\nAnswer: 14.59364965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 (base 7) in base 11?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4597548 and 1860?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweewee. What is prob of picking 3 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 969 + 330 + 320 + 319.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 24, 34, 46, 60?\n\"Answer: y**2 + 5*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -68?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -1.3657?\nAnswer: -1.3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:44 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1622\/(-170) + (-489)\/(-815). Is z < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - -359. Suppose -4*f + 3*x + 687 = 0, -3*f - 3*x + 5*x + v = 0. Suppose -n = 2*n - f. What is the remainder when n is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 9168.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:05 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14476)\/2820 + -1*(-2)\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.032, -5, -124, -1\/4, 2 in increasing order.\nAnswer: -124, -5, -1\/4, -0.032, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.3, 42, -4 in descending order.\nAnswer: 42, 0.3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 6. Let p be m(8). Suppose -7*b + 15 = -p*b. Let v be (-3 - b\/(-3)) + 6. Solve 0 = -2*y - 0 + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1917 divide 20465540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15224, 15237, 15258, 15287, 15324, 15369, 15422?\n\"Answer: 4*a**2 + a + 15219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039989514 rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 15 = 11*p. Let y be p - (-13)\/(39\/36). Suppose -y*i + 42 = -39. Solve -2*k + i = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -0.4, -155?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 75) + (35 - 16 - 42) + 38?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 46 = -5*j, -3*j - 26 = -2*r + 2*j. Let d(f) = -f + 30. Is 3 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(14\/42)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1737 - -3177. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 101000?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 133*o**2 + 400*o**2 - o - o + 130*o**2.\nAnswer: 663*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-1)*-1)\/1. Let p = 28 - 34. Do p and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 70.61812ns?\nAnswer: 0.00007061812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10033 + 10134443?\nAnswer: 10124410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392 + -56. Calculate the remainder when m is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 6*h - 5. Let n be l(-7). Which is the smallest value? (a) 0.4 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9143.259mg?\nAnswer: 9143259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**2 + h**3 + 42*h**2 + 0*h**3 - 3*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:20 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1942, 1919, 1896, 1873, 1850, 1827?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 12. Let p(g) = -12264*g - 25. Calculate d(p(j)).\nAnswer: 36792*j + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l - 4*l + 2*l. Suppose 0 = -3*o - u + 30 - 9, -4*o + 33 = 3*u. Let a(g) = 2 + 4 - 2*g - o. Give k(a(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171 divided by -65?\nAnswer: -167\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 7*p**6\/120 - 5*p**3\/2 - 10*p**2. What is the derivative of n(z) wrt z?\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1120*y + 8966. Let p be x(8). Let c(j) = -13*j + 105. Determine c(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1222649334 from 121.\nAnswer: -1222649213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3*x - 4 + 4)*(4 - 2 + 0).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*r + 12439 + 2560 = 0, r + 14995 = 3*l. Let g be 4\/14 + (-2016)\/l. Let j = -48.46 + -0.54. What is the second smallest value in j, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**2 - 2\/5*p**5 - 14*p + 0*p**3 + 7 + 0*p**4. What is the first derivative of k(d) wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1386 (base 11) to base 2.\nAnswer: -11011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/263848 and 55\/812012.\nAnswer: 1245626408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187350)\/(-1615) + (226 - 342)?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/2 (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucccucucu. Give prob of sequence uuuc.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000110111 + -11110?\nAnswer: 11111000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(4)*-4)\/(1*sqrt(36)\/sqrt(3)) - 3*(0 + sqrt(2187)).\nAnswer: -85*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 450, 898, 1346, 1794?\n\"Answer: 448*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*z - 24597 + 24609, z + 4 = -3*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609780655 divided by 11086921.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*n - 1645*n**2 - n**4 + 241 + 1648*n**2 + 42*n to i + j*n**4 + v*n**3 + d*n**2 + q*n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/28)\/((-60)\/630)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 7*d + 3. Let o be n(-6). Let i be 3 + o*4\/12. Find the second derivative of -5*p**3 + 0*p**3 - 2*p + i*p**3 - 7*p**3 wrt p.\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 675659030*b**4 - 1199772581*b wrt b?\nAnswer: 8107908360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -9\/7*f**7 - 26 + 0*f**4 + 4*f**3 + 0*f**2 + 0*f**5 + 0*f + 0*f**6. What is the third derivative of z(v) wrt v?\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -11. Let l = k - 10.74. Let d = 0.04 + l. Which is the nearest to 1\/2? (a) d (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 27. Put 0.71, 5, q in descending order.\nAnswer: 5, 0.71, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-11571))\/((-306)\/3213).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 0, 3*l - 9 = -0*b - 4*b. Suppose 7 = -l*i + 43. Calculate the remainder when 68 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 3*r + 0*r + (-1 + 1 + r)*(3 - 3 + 2) - 2*r - 2*r + 2*r + 1 - 1 + 43*r + 2*r - 4*r + r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -309, -311, -313, -315, -317?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*j - 282 = 0, 2*j = 8*a - 4*a - 390. Let g be 290\/(-87) - (-2)\/(-3) - -26. What is the highest common divisor of a and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + 18 - (103 + -44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 18. Let a(f) = -f**2 - 1. Give -2*a(c) + x(c).\nAnswer: 6*c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.8, 8\/79, -1, -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/5312 and 39\/129812.\nAnswer: 2076992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 22 + 72 = -2*i, 5*y - i - 74 = 0. Calculate the common denominator of y and 32\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-956)\/(-14) - 3 - 2\/7. Is (-2 - v)*11*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2583*d - 2. Let g(x) = 3*x**2 - 2*x + 242. Let f(w) = -w**2 + w - 121. Let y(m) = 4*f(m) + 2*g(m). Give u(y(b)).\nAnswer: 5166*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 16*s + 7347 - 7301 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g + 2*g**3 + 323*g**2 + 333*g**2 + 3 - 662*g**2. Let m be t(4). Solve -m*b + 3 = o + 5, -b + 5*o + 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -223, -826, -2?\nAnswer: -826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13 = -8. Sort 1, -5, -4, g.\nAnswer: -5, -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1*(-4)\/(-6). Suppose m = a*w - 5, -5*w = -2*w + 3*m - 21. Suppose -c**3 + 2*c - c**2 + 4*c**w - 3*c**2 - c = 0. Calculate c.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2067404011?\nAnswer: 2067404011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4606447.74 rounded to the nearest ten thousand?\nAnswer: -4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 4*c - c)*(1 - 1 - 2) + (-2*c + 1 - 1)*(1 - 2 - 1).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6215 is divided by 474.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30272 and 1496314?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -258a537 (base 11) to base 16\nAnswer: -4459e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 21432*j + 21431*j = 19, 6*j = 3*f + 18*j - 7*j + 77 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 13 - (3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/27 - (-2)\/(-18). Which is the biggest value? (a) 4 (b) k (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -224, 1\/11, -14\/5, -2\/7?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001011 (base 2) in base 16?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 take away 29331340.34?\nAnswer: -29331304.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4109 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - a = a + 3, 4*c = a + 8. Suppose -t + c = 4*u, 9*u = -3*t + 4*u - 4. What is the biggest value in -0.25, t, -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/99 - (-31)\/11. Suppose 2*m + 8 = 5*c, 0*c + 5*c - 12 = s*m. Let w(g) = g**2 - g + 216. Let d be w(c). What is the highest common factor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:19 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + 0.0449?\nAnswer: -0.8551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -6\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1209291 - 2266291. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/1590367 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 681 + u**3 - 681.\nAnswer: -2*u**3 - 1362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) + 1 - (sqrt(99) + 4)) + -1 + sqrt(33)\/sqrt(3) + 0)*-6.\nAnswer: -48*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 53 = 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -0.096\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*b - 122*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + c**4 - 7*c**3\/4 - 5*c**2\/2.\nAnswer: c**2*(c - 2)*(c + 1)*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**9\/3024 + s**6\/90 + s**3\/6 - 3*s. Let g(b) be the second derivative of r(b). What is the third derivative of g(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 7)*(-31 + 1). Suppose 0 = -7*o + 3*f + 137, -3*o + 62 = 2*f. Calculate the greatest common divisor of n and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83.82 + 80.82. Which is the nearest to 0? (a) j (b) 9 (c) -2\/17 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 6 - 2*m + 0*m**2 + m**3 - 1\/20*m**5 - 1\/12*m**4. Factor c(l).\nAnswer: -l*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = a + 5*m, 20 = a + a - 2*m. Let u = -495 - -780. Suppose -1 - a = 4*y, -u = -4*z - 5*y. What is the greatest common factor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5805 and 133\/2580.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**7\/30 + o**5\/15 + o**2. What is the third derivative of l(m) wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 34*n + 76 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 37.000004. Round s to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130854.6 - -149809. Round q to the nearest 100.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 1, e: 1, n: 4, q: 2}. What is prob of picking 1 q, 1 u, and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:44 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 144.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 595 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(((o**(1\/5)\/o)\/o*o)\/o)*o**0)\/(o\/((o*o\/o**2)\/o*o))**(2\/19) assuming o is positive.\nAnswer: o**(446\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -99*y**3 - 4*y + 1. Let o(k) = -k**3 + k + 1. Let u(v) = -m(v) - o(v). What is the tens digit of u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -854*x + 912*x + 2204 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, o: 6, g: 5, x: 5}. Give prob of sequence gxax.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74936, 74939, 74942?\n\"Answer: 3*o + 74933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4448 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 82*y**4 + 2*y**2 + 3*y**3 - 36*y**4 + 9*y**2 - 38*y**4 + 3*y**2 as k*y + d + j*y**3 + g*y**4 + x*y**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20\/5 - 231\/44*(-36)\/(-27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 5*r + 6. Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Let a(u) = 11*u**2 + 2*u - 7. Let p(d) = -9*d**2 - 2*d + 7. Let b(i) = -2*a(i) - 3*p(i). What is the units digit of b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-6 - -21)) + (-1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 21, 55, 105, 171?\n\"Answer: 8*s**2 - 6*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-44)\/(-6)) + (-1)\/(-3). Let c be -3*((-5)\/(-4))\/(a\/144). Calculate the highest common divisor of 36 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 - 3?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -841\/6 + 29*q - 3\/2*q**2 = 0.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 - 5*k**3 - 15*k**2 + 5*k + 10 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31205*n**2 + 32063*n**2 + 170*n**3 - 1798*n**3 wrt n?\nAnswer: -9768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830b (base 14) to base 13.\nAnswer: a359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 4441*l**5\/20 - l**4\/8 - 5*l**3\/6 + 7*l**2. Let c be v(-3). Suppose c = 5*s - 20089. Round s to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6\/13)*v)**50\/(v*v*v*v**(-36))**(-6\/17) assuming v is positive.\nAnswer: v**(24626\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/10 + 7*k**4\/12 + 8*k. Find the third derivative of g(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*y + 774 = y. Let k(w) = -w**3 - 8*w**2 + 9*w - 3. What is k(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -70. Suppose y - 5*y + 68 = 0. Calculate the remainder when x is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = c + 3*j - 68, 0 = 2*j - 2. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -87, 2, 17 in decreasing order.\nAnswer: 17, 2, -2\/11, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (552\/1012)\/((-16)\/(-22))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10146, 20299, 30466, 40653, 50866, 61111, 71394, 81721?\nAnswer: 92098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9))**(-4\/13)\/(j**(1\/4))**(-1\/5) assuming j is positive.\nAnswer: j**(277\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 13*u + 12*u = -8, 0 = 5*f + u - 10. Let r(q) = 0*q - 168*q**f - 2 + 175*q**2 + 2*q. Let v(j) = -35*j**2 - 11*j + 11. What is -11*r(d) - 2*v(d)?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 125169 (c) -1 (d) -0.07 (e) -0.1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(5) + (2*sqrt(10))\/sqrt(2)).\nAnswer: -5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1230 - 1202.26. Let x = s + -26. Round x to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*z + 3 = 5, 0 = -4*p - 5*z + 22. Suppose 0 = 2*a + 4*d + p, 3*d - 48 = 3*a - 0*d. Let i(o) = o**3 - 7*o**2 + 6*o + 12. Let n be i(4). Does n = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 5*v**2 + 5*v - 7. Determine p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021 + 1010210211?\nAnswer: 1010222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -0.99568.\nAnswer: -1.49568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.011 to zero decimal places.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 15*z**2 - 16*z + 20. Let k = 21 - -43. Let y be (k\/8)\/(1\/(-2)). What is the tens digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -448 - -3489. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-5*(-2)\/(-5). Let v = t + 13. Let w = -14 + 14. Put -4, w, v in descending order.\nAnswer: v, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-12)\/(-21))*(-125)\/(132125\/(-24764))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180865585 to the nearest integer?\nAnswer: 13449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 9*p - 9. Let z(o) = -10*o - 3. Let g be z(-1). Let j be q(g). Suppose 134 = j*n - 0*r + 3*r, -2*r = -5*n + 119. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 + 11*f - 1. Let z be (-1314)\/(-126) + (-3)\/7. Let m be s(z). Is (184\/12)\/(6\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 2:02 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/85 - -12\/17. Let n = -65\/4 + 17. Which is the second biggest value? (a) 5 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/23*324\/(-126)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2057)*-2*4 - ((sqrt(2057) - (sqrt(2057) + 0) - sqrt(2057)) + 5)) + -4 + 1)**2.\nAnswer: 1848*sqrt(17) + 100937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/5 + 8*x**4 - 234*x**3 - 748*x**2 + 816*x. Suppose t(f) = 0. Calculate f.\nAnswer: -34, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3542324352 + -4?\nAnswer: -3542324400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + a - 24 + 2*a**4)*(5 - 5 - 2).\nAnswer: -4*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 39 + -1 + 2 + -143 + -50 + 181?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oboo when four letters picked without replacement from {b: 5, o: 14}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1071, -2112, -3169, -4248, -5355?\n\"Answer: -i**3 - 2*i**2 - 1028*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -9\/4, -4\/5, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -233\/3, 3, -0.2, 0.1, 55, -3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 9, 22, 51, 102, 181, 294?\n\"Answer: n**3 - n**2 - n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1483014 divided by 741507.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141416*d**5 - d**4 + 2*d**3 - 1278104*d**2 - 2 wrt d.\nAnswer: -8484960*d**2 - 24*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 5. Let y be 2\/(8 - d)*18. Let k = y - -20. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 2636572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 10\/(-4) + 5\/10. Suppose -5*o = -4*o - 3. Suppose o*i + g*n - 913 = 4*n, -i - 3*n + 313 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -661, -660, -659, -658, -657, -656?\n\"Answer: s - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s - 12*s - 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*15\/25\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5369 = 4*t + 5309, 10 = 3*t - 5*j for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -62*x**2 - 65*x + 144. Calculate r(2).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -v + 3. Suppose -d + 5 = 4*y, -5*y - v = 5*d - d. Let m = 24 + d. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -5.02. Let g = -2 + -1.1. Let t = g - -3. What is the second biggest value in h, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5357 - 4?\nAnswer: 5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/592 and 93\/934.\nAnswer: 276464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2)*l*l**(-1\/15)*(l*l**(-2\/5)*l)**(-2\/41) assuming l is positive.\nAnswer: l**(-89\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51*((-10)\/25 + 8\/120).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 5*s**3 + 4*s**2 - 53 + 2*s - 2*s**2 + 4 in the form g*s**2 + j + h*s + a*s**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 72362?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19610, 40205, 60800, 81395?\n\"Answer: 20595*w - 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(10) - sqrt(40)\/sqrt(4)))\/sqrt(5) - sqrt(2)) + sqrt(16)\/(-1*sqrt(8)) + -2*(sqrt(2) + -2*sqrt(242) + sqrt(242)).\nAnswer: 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1476.\nAnswer: 1\/1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -541.996.\nAnswer: -542.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2 - 2*y + 2. Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 412496 = -c, 0 = -5*y + 38*c - 37*c + 515619. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g - 7. Let i(y) = 2*y - 97. Let r(k) = -k + 53. Let v(u) = -6*i(u) - 11*r(u). Determine 3*v(t) - w(t).\nAnswer: 3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2440 (b) 2\/11 (c) -2 (d) 211 (e) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 + 9 = y, 4*p + 4*y + 44 = 0. Let n(r) = -r + 1. Let k(z) be the second derivative of 7*z**3\/6 - 42*z. Let c(h) = p*n(h) - k(h). Calculate c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 2*z - 6*z. Let g(b) = 8*b**3 - b**2 - 3*b - 3. Let v be g(-2). Let r = z - v. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*h - 2. Let i be 22 - ((-4 - (h + -4)) + 3). Is 8 a factor of -3 + -1 - (i\/(-4) - 71)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -1383?\nAnswer: -137c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and 11\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a62523 - -5?\nAnswer: 23a62528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (-71717 - (-19 - 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237 - 394. Let b = -1223\/2 - w. Let u = b - 137\/6. Calculate the common denominator of u and 52\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.489701 kilograms in grams?\nAnswer: 2489.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + (6 - -3) - (-3 + 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 777156 + 1503979 = 684510. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-1 - 0)*17. Let p be 28\/5 + z\/(-45). Let i(v) = v**2 - p*v**2 + 2*v**2. Let o(m) = -3*m**2. Give o(i(j)).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**2\/2 - k - 2. Let r be 2 + (-5 - 1)*(-3 + 4). Let d(w) = -5*w + 2. Calculate r*x(o) - d(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 19, -8.9, -0.4, 10589?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26*h - 6. Suppose 2*l - 3*l - 3 = 0. Let z(c) = -11*c + 338 - 14*c - 161 - 170. Let j(f) = l*z(f) - 2*p(f). Differentiate j(y) with respect to y.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 + -3 + (2 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 27*r + 16. Let d be q(13). Differentiate 131*p**d + 80*p**3 + 135 + 27*p**3 with respect to p.\nAnswer: 714*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 490, 590, 688, 784?\n\"Answer: -d**2 + 103*d + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2176 - -2175. Is h < 5\/496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872915361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 3*a**2 + 100 + 30*a - 38 to r*a + b + o*a**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-12)\/s)\/(s\/s**(1\/13)))\/((s*s*(s*s\/s**24)\/s)\/s**(-6\/5)) assuming s is positive.\nAnswer: s**(382\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 16*s - 8. Give t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**3 + 17*c + 1\/3*c**4 + 21\/2*c**2 - 1\/30*c**6 + 0 - 61\/20*c**5. Find the third derivative of p(n) wrt n.\nAnswer: -24*n - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-4 - -21) + 1 + -7 - -7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-8) - 748\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - x + 3. List the prime factors of u(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 - 10*w - 5. Let u(k) = -9*k**2 - 21*k - 11. Let t(o) = -6*u(o) + 13*y(o). Is t(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089811.\nAnswer: 3, 1029937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11893042?\nAnswer: 2, 7, 127, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let n(h) be the first derivative of -2*h**3 + 10. Calculate a(n(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**3\/6 + n**2 + 2*n. Let y be a(-2). What is f in f**4 + 0*f**4 + 3*f**2 - f**3 - y*f**2 + f = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -16. Suppose 33 = -4*h - 4*o - 35, 0 = -3*o + 12. Is (t\/6*-4)\/((-2)\/h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3259804.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(6)\/(sqrt(6)\/sqrt(2)) + sqrt(2) + sqrt(2) + (5*(0 + sqrt(2)) - sqrt(2)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21226463*v**2 + 10613473*v**2 + 10612985*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let i(f) = -f**3 - 5*f**2. Let z be i(-5). Let m(u) be the second derivative of 1\/6*u**3 + z - 2*u + 0*u**2. Determine b(m(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let v = 361.796 - 362. Let l = r - v. What is l rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.3, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*l + 349 = 0, 1517 = 3*y + l + 540. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774601 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 11. What is d(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1860 and 2604?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(272))*-4 + 1)*-5*5)**2*-5.\nAnswer: -13678125 + 500000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 368 = -4*x, -2*h = 5*x - 4*x - 196. Suppose 3*t = -2*b + h + 5, -b + 5*t = -31. What is the highest common factor of 966 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/12 - 3*p**3\/2 + p**2 + 90*p + 3. What is c(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 29*q - 7. Let t(g) = -86*g + 20. Determine 17*k(r) + 6*t(r).\nAnswer: -23*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, 3.\nAnswer: -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325.61 - 327. What is l rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*b - 219, -11*b + 10*b + l = -47. Solve 23 = -10*x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -2\/9, -558, -5, -2, 2\/15 in decreasing order.\nAnswer: 9, 5, 2\/15, -2\/9, -2, -5, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + (-2)\/20. What is the second biggest value in 3, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32355 - -32352.0011. Let s = -3 - b. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 296.3 - 296.5. Sort 0.2, u, -52, 3\/4 in descending order.\nAnswer: 3\/4, 0.2, u, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37 and 385018.\nAnswer: 384981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378.801 - -2.501. Let t = -376 - s. Which is the closest to -2? (a) -2\/9 (b) t (c) 1\/4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 1 + sqrt(5))*4 - ((5*(sqrt(720) + sqrt(45)))\/sqrt(9))**2.\nAnswer: -3121 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365946681*k**3 + 13357950*k**2 + 120588*k - 24 = 0. Calculate k.\nAnswer: -2\/109, 2\/10267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 1. Let y(p) = -3*p**2 + 9*p - 15. Let f(m) = 4*q(m) + y(m). Let d be f(-14). List the prime factors of ((-14)\/d)\/((-4)\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:03 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 27. Calculate i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by -1\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((1 - 0) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4*z - 66, -4*z - 13952 = 7*o - 13993 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1093*-123316\nAnswer: 134784388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3920 divided by 22?\nAnswer: -1960\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a - 4. Calculate the remainder when b(6) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3000127\/6 + -500021. Suppose -1\/6*q**4 - 5\/6*q + 5\/6*q**3 + l*q**2 + 0 = 0. Calculate q.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -66?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32402, 32405, 32410, 32417, 32426?\nAnswer: 32437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-25 + 8)) + 8\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) + sqrt(160))*1 - (1*sqrt(132)*4)\/sqrt(12).\nAnswer: -19*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7890406 to the power of 1\/2, to the nearest integer?\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, r: 3}. Give prob of sequence hr.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by 198240.\nAnswer: -47\/49560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 - 114*d + 645 = 0. What is d?\nAnswer: -43, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-28)*(8\/2)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 0*f**2 + 5*f**2 - 858*f + 69*f**2 + 858*f - 2*f**2 - f**2 + 4*f**2 + (5 - 1 - 3)*(-4*f**2 + 5*f**2 + 0*f**2) + 0*f**2 - 2*f**2 + 0*f**2.\nAnswer: 73*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*r**4 - 23670*r**2*s**2 - 2*s**2 - 10*s + 52 wrt r.\nAnswer: 120*r**3 - 47340*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -0.5 (c) -2\/13 (d) 13.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10026 = 5*d, 2*d + 4*a = 7*d - 10038. Suppose -d - 1358 = -s. Suppose k + s = 5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 93.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 7 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 5532\/29, 3?\nAnswer: 5532\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 1253172?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1260 - 6.\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 12 - 0. Let j be (o - -3)\/((-2)\/1). Suppose -4*u - 5*x + 35 = j, -2*u - 8*x = -4*x - 10. 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 q = -0.965 - 0.035. Sort 0, q, 2\/5 in decreasing order.\nAnswer: 2\/5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3030 and 40?\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j - 360 - 69 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2322997067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321 + 100. Let a = 248 + g. Is a at most 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -15*j + 67 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981213 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -70. Sort -3, -5, m in descending order.\nAnswer: -3, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -11 - (1 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*-3 - sqrt(170)\/sqrt(10)*-2) + 0)**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 805764.2 litres in millilitres?\nAnswer: 805764200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31866633031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12546426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, t: 1, g: 1, u: 3, p: 5}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -19579 and 0.4.\nAnswer: -19578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 61 (c) 4737\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 58, 0, -99?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i + 0*i + 12*i**3 + (6*i - i - 4*i)*(-i - 2*i**2 + i).\nAnswer: 10*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198.85 - 0.3.\nAnswer: -199.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Let g(z) = -4*z + 18. Determine 2*g(w) + 14*n(w).\nAnswer: 6*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 142 = -258. Suppose 3*a - m = -5*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 19*g**2 - 110*g + 1017. What is q(-19)?\nAnswer: 3107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvvvvvvvvzvvuzzvvv. Give prob of sequence vuu.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6\/5))**(-16)\/(((q**11\/q)\/q)\/q**(-10)))**42 assuming q is positive.\nAnswer: q**(-3318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 7. Let v = f + -40. Which is the second biggest value? (a) 0.5 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3700*t**2 + t + 1. Let k be 8\/4*2\/(-4). Let r be o(k). Suppose 0*b = -5*b - r. Round b to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 12*u**2 + 1716*u - 15548.\nAnswer: -4*(u - 13)**2*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 0 - -44 - (-3 + 6 + 5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 105878745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + w. Let g be k(-1). Let t be 5\/(-2)*(-18)\/15. Suppose d = g + t. Let p(j) = 2*j + 4. Let v(y) = 3*y + 5. Give d*p(u) - 3*v(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((8\/(-18))\/(((-832)\/(-4))\/(-8)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81449*d**2 + 669*d**3 - 81449*d**2)*(7 + 3 - 3).\nAnswer: 4683*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20202 is divided by 6680?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014230 - 1?\nAnswer: 1014224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g - 13. Let t be q(8). Let w = t + -131. Solve w = 3*c + 4 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 172\/(-3)*(0 - (-126)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293355?\nAnswer: 3, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2055425 divided by 82217\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - f**2 + f**2)*(-29*f - f**3 + 5*f**3 + 26*f) + 56*f + 3*f**5 - f**5 - 38*f.\nAnswer: 14*f**5 - 9*f**3 + 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*w - 790, -a = 4*a + w - 1963. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38980*j - 77965*j + 38985*j - 27230*j**2 as l + p*j**2 + w*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (269 - 262) + -19 + 1 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/(-3)*-8*2\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065975814 to the power of 1\/3, to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 14*l + 14. What are the prime factors of g(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175, -166, -155, -142, -127, -110, -91?\n\"Answer: c**2 + 6*c - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001545140875 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19759180 and 5927754.\nAnswer: 59277540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from {b: 2, r: 4, m: 10}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/9 - 544*w**3\/9 + 542*w**2\/9.\nAnswer: 2*w**2*(w - 271)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 - 3153*u**2 + 101*u - 45 wrt u?\nAnswer: 6*u - 6306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 46d0c (base 16) to base 11\nAnswer: 188a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4614241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1213, 1214, 1215, 1216, 1217, 1218?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 50. Calculate b(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8 - 4. What is the lowest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.837 and 0.4.\nAnswer: -11.5348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781, 3432, 4947, 6326, 7569, 8676, 9647?\nAnswer: 10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3807, -30546, -103123, -244458, -477471, -825082, -1310211, -1955778?\nAnswer: -2784703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 84 = -25*c. Solve -m + 14 = 4*t - 0*t, 2*t - c*m = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 101. Let r(x) = 33. Let k(f) = -3*d(f) - 8*r(f). Is k(24) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2420, -10120, -22948, -40904?\n\"Answer: -2564*v**2 - 8*v + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(77)*3*2)\/(sqrt(7) + 6*((sqrt(7) - 1*sqrt(7) - sqrt(7)) + sqrt(7))))*-4.\nAnswer: -24*sqrt(11) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*r - 16 = 3, 4*y = -4*r + 28. Suppose -3*u - 95 = -y*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 - 3*u + 1. Let p be v(2). Let f = -2749 - -2749. Let t = -1 - -1.5. Which is the nearest to -3? (a) f (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -320860, -320360, -319528, -318364, -316868, -315040, -312880?\n\"Answer: 166*j**2 + 2*j - 321028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9)\/sqrt(3) + sqrt(3))*-1 - sqrt(12)\/(sqrt(16)\/sqrt(4))) + -5 + -5)*1.\nAnswer: -10 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -428133*k - 9418933. Calculate o(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1\/3 (c) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 <= -9\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1050 and -111\/2913400?\nAnswer: 8740200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 7}. What is prob of sequence cvcc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 522 - -12343. Is o a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-168)\/(-40) + (-4)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -9*x, -7*x - 8 = 3*w - 5*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2696 = 3*x + 941, 2*x = -4*n + 3642. Let z = n - 907. Solve -c - z*f + 6 = 0, 5*f - 2 = c + 4*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108, -481, -1126, -2061, -3304, -4873?\n\"Answer: -3*y**3 - 118*y**2 + 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2807*-0.026\nAnswer: -72.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 28 - 150 = 0. Suppose -x + 18 + 1 = -5*h, 3*h + 29 = 5*x. Is 5 a factor of z\/6 + x\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114255959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/9 - 26038*o**2\/9 - 84708110*o\/9 + 84786242\/3 = 0. What is o?\nAnswer: -6511, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/47064487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 213366650?\nAnswer: 213366660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*4 + (sqrt(133) - 2*sqrt(133)*1 - sqrt(133)))\/(sqrt(14)\/sqrt(2)*5 - (sqrt(175) - sqrt(175)*-2 - sqrt(175))).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*k - 707 = 0, -j + 6*j - k = 3509. Let l = j + -686. What is the greatest common divisor of l and 1152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44329 - -44330. Which is the biggest value? (a) -0.01 (b) 38 (c) -0.1 (d) g (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {n: 8, a: 2, i: 3, q: 1, f: 5, x: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5.1. What is the biggest value in -7\/5, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2 (b) 5 (c) 0.05 (d) 10 (e) -0.1 (f) 3084\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 3. Let f = d - 5. Let s be (-1 + 4)*8\/(-6). Sort -5, s, f in increasing order.\nAnswer: -5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2250*w - 8224*w - 193428 + 505503 + 225585 = 0 for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/7, 3, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465130 is divided by 232555.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 23*c + 73 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-372)\/(-992))\/((-18)\/(-8))*(115 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(160) + sqrt(160))\/sqrt(4) - sqrt(40) - (sqrt(40) - (sqrt(40)*1*-1 + sqrt(40))))\/(sqrt(80)\/(sqrt(10) + 2*sqrt(10)*-6)).\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - r = 0, 2*y + y = -5*r + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**6\/360 - a**5\/60 + a**4\/8 - 5*a**3\/3 - 9. Let f(x) be the third derivative of v(x). Give f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349+3986257\nAnswer: 3985908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*x**4*z - 50593*x**3*z**3 + 2*z**3 + 262*z**2 + 601*z wrt x?\nAnswer: 196*x**3*z - 151779*x**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 224527836 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 232 = 4*g - 1161, 0 = 4*g - 5*q - 949. Let r = -120 + g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j**3 - 3*j**2 - 2*j. Let w(q) = -45*q**3 - 15*q**2 - 11*q. Let o(u) = 11*n(u) - 2*w(u). What is the third derivative of o(m) wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13768829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l - 1. Let t be 1*9*(2 - 3). Is w(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 15*r + 18. Let v be u(15). Suppose -3*m + v = -12*m. List the prime factors of (9 - (-2)\/m)*(-1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**3 + 20*o**3 + 11*o**3 - 9*o**3 - 18*o**3 - 7*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 69 - (-2 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7279?\nAnswer: 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 4*m - 3*m)*(-219 - 21 + 43).\nAnswer: 394*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -24966*i**4\/5 - 2596466*i**3\/5 - 12967382*i**2 + 140253794*i\/5 + 11236\/5 = 0. Calculate i.\nAnswer: -53, -1\/12483, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8033 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 3. Let f(h) = -7*h + 4. Let k(b) = 5*f(b) + 4*l(b). Let c(r) = 8*r - 9. Give -6*c(i) - 7*k(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -668\/37 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103009 and 258169.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.4, -4, -3961720?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*y + 7526 = 7493, -9*z - 5*y - 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 11*r - 9. Suppose 5*c + 4 = -3*n + 34, -18 = -3*c + 5*n. Let u(o) = -o. Let b be u(c). Is k(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*j = 11*j - 1315 + 1367. Which is the nearest to -11? (a) j (b) 1\/2 (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -102*a - 455. What is the lowest common multiple of d(-5) and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14134 + 4?\nAnswer: -14130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1228550, -2455116, -3681684, -4908254, -6134826, -7361400?\n\"Answer: -m**2 - 1226563*m - 1986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 4. Suppose -5*b = 4*l - 49, r*l + 22 + 63 = 5*b. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129868 times 13?\nAnswer: 1.688284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-846)\/106596*1*4?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-14 + -1) + (-10611)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 3*a - 333 - 9*a + 27*a to the form f + w*a and give f.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 - -42?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, -5, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436840 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 1, a: 1, n: 1, f: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2739 is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/20)*w**(-3)*w**(-5\/8)*w**(-2\/37) assuming w is positive.\nAnswer: w**(-4039\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/5 (b) -1 (c) -108\/43 (d) 4 (e) -1\/5 (f) 0.105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 243 (base 5) to base 8\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01001176 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 99 (c) -6 (d) -0.2 (e) -2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42118, 42065, 41972, 41845, 41690, 41513?\n\"Answer: v**3 - 26*v**2 + 18*v + 42125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1702 = 24*r - 794. Does 52 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(2\/7))**(-1\/58)\/(((g*g\/g**(-11\/6)*g*g)\/g)\/(g\/g**(-1\/13))))**(-2\/91) assuming g is positive.\nAnswer: g**(59947\/720447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 373?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -47, 19, 5, 17.\nAnswer: -47, -5, -4, -3, 5, 17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -16\/5, -1432?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77\/(-231) - 721\/(-3). Let k = h - -265. What are the prime factors of k?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 1. Let b(q) = 3*q + 5. Let i(u) = -u. Let h(j) = b(j) + 5*i(j). Suppose 3*a - p + 9 = -4*p, -5*p = -5*a + 5. Calculate a*h(k) - 3*g(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 2*i**2 + 3*i + 7. Let n(s) = -3*s**3 - s**2 + 4*s + 8. Let j(q) = -3*n(q) + 4*z(q). Let t be j(5). Is 4 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8063 - 1056*y**2 - 8053 + 1055*y**2.\nAnswer: -y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133849 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 31807*d**2 + 159056*d + 127248.\nAnswer: -(d - 31812)*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 53*w**3 + 50*w**3 - 105*w**3 - 4 in the form l*w**3 + a*w**2 + u + f*w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -24 - 16) + 4 + -2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Suppose z - 2*m + v = 4, 0 = 4*z + 5*m - 12. Suppose 3*p - 86 = -5*d, z*d - 2*d = 1. What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/38 + (-119)\/(-35) + 30\/50\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487904773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n - 3. Suppose 5*s - 4 = 21. Is m(s) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 4. Let t = 1 - 2. Let i(r) = r**2 + 12*r - 8. Let a be i(-13). Let x(f) = -1. Calculate a*x(m) + t*w(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/126 and 43\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:55 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l + 56*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125939.254 - -113?\nAnswer: 126052.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/150 and 89\/105?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(3 - n - 3) + (2 + 0 + 0)*(-7*n - 5 + 5))*(13*n + 3*n**2 + 14*n - 9*n).\nAnswer: -48*n**3 - 288*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 20 - 17. Let z be (m + 2)*(2 + 15). Let y be 34\/z + (-4196)\/(-6). What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2851.5 + 2840. Let w = -0.14 - -7.64. Let a = w + i. What is the third smallest value in 3, 4\/7, a, 1\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2269*r**3 - 3*r**2 + 9*r + 6. Let c(m) = -83952*m**3 + 110*m**2 - 330*m - 220. Give -3*c(h) - 110*v(h).\nAnswer: 2266*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(24852\/763)*30?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 20308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from eequeukqkffefkfq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -1394, -4575, -10828, -21191, -36702, -58399, -87320?\nAnswer: -124503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*b - 10, 10*i - 5*b = 11*i - 10. Let x be 12 - (-6)\/(-2) - i. Factor -15\/2*a**4 - 39\/2*a**3 + x*a**2 + 0*a + 0.\nAnswer: -3*a**2*(a + 3)*(5*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:30 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 227 * -0.01\nAnswer: -2.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55 + -0.65. What is the nearest to v in 2\/7, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -979 + 979 + 181*v**4 + (-v + 3*v - 3*v)*(-v**3 - 5 + 5) to the form w*v**2 + u*v**3 + t*v**4 + a*v + g and give t.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 123*d = -124*d + 4, -d + 10 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/4 + 5*o**3\/3 + 5*o**2\/2 + 31*o. Let r(u) = u**3 + u**2 - u - 1. Let y(i) = a(i) + 6*r(i). What is y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 2*y + 1 - y. Suppose 22 = -3*i + 5*w, -3*w + 10 = -5*i - 0*w. Let h(p) = p - i + 2*p - p. What is 2*d(f) + 3*h(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -262 and -67.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/36*(-9)\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -11)*1*-20*11. Let b = 1105 - v. Suppose 0 = -d - 3, 4*f - 5 + 0 = 3*d. Sort b, 4, -3, f in decreasing order.\nAnswer: b, 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*h**2 - 1 + 25*h**3 + 555*h**2 - 76*h**3.\nAnswer: -51*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.183 + -4.043. Let s = 0.14 - j. Let a = 5.44 - s. Round a to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**2 + 48*u - 4. Suppose 4*f = 5*x - 0*f - 125, x - f - 26 = 0. Let b be j(x). Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1530550 and -61\/5250.\nAnswer: 22958250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 + 2*r**2 - 29*r**2)*(-4*r**2 - r**2 + 4*r**2).\nAnswer: 35*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(112) - sqrt(112)))**2*-3 - (-4*(1 + sqrt(112))**2 - (sqrt(112) - ((-1 + sqrt(112))*2)**2)))*3.\nAnswer: -4032 + 204*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*p + 357*p**3 + 1599*p**3 - 3*p - 378*p**3 - 26 + 0*p wrt p.\nAnswer: 9468*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11856\/(-608))\/((-60)\/168*3*(-1)\/5)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = b + 2, 21 - 32 + 12 = -4*b - k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f**5\/5 + f**4 - f**3\/2 + f. What is k in d(k) = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3431763+-2.42\nAnswer: 3431760.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30394, -82626, -134858, -187090, -239322?\n\"Answer: -52232*a + 21838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.0014 - 11. Let o = b + -42.9014. Round o to 0 dps.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007652 rounded to six dps?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2011*m**4 + 19993*m**3 - 114316684.\nAnswer: 8044*m**3 + 59979*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8 and -25\/1318?\nAnswer: 5272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**2*c**2 + a**2*c - 135*a**2 + 13110*a*c**2 wrt a?\nAnswer: 34*c**2 + 2*c - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 100809.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/114*24\/16. Put w, 7, -1\/3 in increasing order.\nAnswer: -1\/3, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1005*y**2 + 1062 - 2*y - 224 + 1659*y**2 + 517 wrt y.\nAnswer: 1308*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011 + 101111010010?\nAnswer: 110000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 11*u**4\/24 - 7*u**3\/6 - 3*u**2. What is the units digit of f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = 36. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 4*p + 3*x - 1253, 3*p - 1140 = -3*x. Let g = 406 - p. What is the greatest common divisor of 52 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14733 + 14732.7. Let t = -3.6 - 0.4. Which is the third smallest value? (a) j (b) 3\/8 (c) -0.08 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (54\/45)\/(-4*3\/30). Let i(k) = -2*k**2 - 3. Let u(x) = -x**2 - 2. Calculate n*u(a) + 2*i(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/135)\/16)\/(5\/(-25))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3415, -13691, -30825, -54817, -85667, -123375, -167941?\n\"Answer: -3429*s**2 + 11*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/496?\nAnswer: 7\/496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -25. Let o(q) = q**2 - 5*q + 4. Let g be o(4). What is the remainder when g - 22*(-1)\/1 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*u - 30 = 0, 2*y - 2*u = -2*y + 50. Let g be 1\/(-10)*y\/(-4). Let p = 9.2 + -9. Which is the second biggest value? (a) p (b) -4 (c) 5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 93957 from -1120.\nAnswer: -95077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 429, 660, 911, 1188, 1497, 1844?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 582*r**3 + r**2 + 377*r + 4. Let t(p) = -1164*p**3 - 2*p**2 - 748*p - 10. Let f(y) = -5*n(y) - 2*t(y). Find the third derivative of f(i) wrt i.\nAnswer: -3492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04645 - 18.16845. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-2*3 - sqrt(24) - sqrt(72)\/(sqrt(15)\/sqrt(5)))\/(-6*sqrt(32)*4).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*r**2 + 4*r**2 + 3*r**2 - 5*r**6 wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 16160?\nAnswer: 16164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32271\/(-6696) + -3*(-1)\/8 - -4. Which is the closest to 2? (a) 1\/2 (b) u (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 16*q + 182. Let c be (-8 - -3)*(-4)\/q. Let r(l) = -l. Let a(j) = -j - 2. What is c*r(d) + a(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20724 is divided by 2017.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:12 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/42 - 5\/15. Let g = -32\/21 + r. Let m = -1.12 + 0.62. Sort g, -2, m, 4.\nAnswer: -2, g, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -5\/3, 27.\nAnswer: -5\/3, -0.01, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/((-5)\/(-2)))\/1. Let j be (-1 + f)\/2*34. Let p = j - 9. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4494 and 192814.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 1716047554?\nAnswer: 1716047560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*g = -132*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57164020 by -11432804.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/20 - -1 - 1\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(252) + -2)*-4.\nAnswer: -96*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/27*-3)\/(((-2150)\/4773)\/50)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t**3 + 15719*t**2 + 775*t + 8644. Give u(786).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 5*t - 3. Let d = 78 - 77. Let a(j) = j - 1 + 1 - 1. Let k(m) = d*r(m) - 3*a(m). Find the second derivative of k(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:58 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1294 = 276. Suppose 5*q + h = 318, 5*q - 23*h - y = -26*h. What is the greatest common divisor of q and 336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-1 + 1 - 2*u)*(-7 - 2 - 2) to l*u + a and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -20*b**4 - 9*b**2 + 2. Let z(f) = -f**4 + f**2 + 1. Let t(h) = -g(h) + 2*z(h). Find the third derivative of t(r) wrt r.\nAnswer: 432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81565*p**2 - 296863*p**2 - 216239*p**2 + 15636*p**2 + 70004*p**2.\nAnswer: -509027*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -195919 divided by -727?\nAnswer: 195919\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-30)*(-45)\/70. Let w = -16.9 - -18. Sort -3, w, m.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 2935.18 and -59481059.\nAnswer: -59478123.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/589370 and -3\/7.\nAnswer: 4125590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2626451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 487833 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 2. Let i(d) = -19*d - 10. Let a(n) = 129*n + 69. Let r(v) = -4*a(v) - 27*i(v). What is -8*m(q) + 3*r(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/9*(4 + -7). Let v = -6.384 - 1.616. What is the closest to 2 in p, -3, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 - 484 = -2*y. Let m be (-3)\/((-11)\/(y\/(-8))). Which is the nearest to -0.3? (a) 5 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*y + 232426 = -155773 - 110533. List the prime factors of y.\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 299, 5, 1\/7, 0.46 in descending order.\nAnswer: 299, 5, 0.46, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*r + 5, 4*r + 68 = 3*x + x. Let f be x\/54*12\/21. Let o = 0.596 + -0.196. Which is the biggest value? (a) f (b) -0.1 (c) o (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 79, 81?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - (-504)\/(-96). What is the nearest to -0.3 in g, -1, 0.41, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10*f**5 + 368289*f**4 + 36829*f**3 = 0?\nAnswer: -1\/10, 0, 36829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 8. Suppose -8*d = -7*d - 65. Suppose -5*s = -5*q + d + 325, 155 = u*q - s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 6. Let z = 7052 - 7047. Let o(y) = 3*y - 5. Give z*o(j) - 4*x(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 22 = -5*r + 347, -2*r + 158 = -a. Let b = r - 49. What is the greatest common divisor of 70 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216184 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5788*r**2 - 2392*r**2 - 1150*r + 1150*r to the form c + n*r + x*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -p + 3*r, -p = 3*r + 190 + 23. Let o = 223 + p. Solve 3*l + 0*w - 5*w - 34 = 0, 0 = 5*l - 2*w - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12)*16)\/(51\/102) - 42.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + 3 + -1)) + (17560 - 17624)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303*g**3*s*t**3 - 9*g**3*s*t**2*u**3 + 4*g**3*t**2*u**2 + 3*g*t*u**3 + 11*s*t**3*u**3 - 2*t**2*u wrt t.\nAnswer: 1818*g**3*s + 66*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 57, 85, 113, 141, 169?\n\"Answer: 28*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p + 3. Let w be v(1). Let i be 19944\/w - (1 + 7\/(-5)). What is i rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2555 + 2555 + 7*k**3 - 8*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let c be f(3). Let j be (-1)\/c*0 + 2. Solve -r - 3*r = 5*p - 16, -j*p + 7 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 4, t: 1, w: 5}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373 + 7.935.\nAnswer: -365.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**4\/2 - 17*c**3\/3 + 53*c**2\/2 - 68. What is the second derivative of l(a) wrt a?\nAnswer: 12*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7123 (base 9) to base 8\nAnswer: 12125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 6:57 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 609215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28 - 5*w**2 + 33*w**5 + 25 + 18*w**5 wrt w.\nAnswer: 3060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3 (b) -188\/229 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Suppose -j + c - 5 = -5*j, -5*c = -j - 4. Let b be ((-56)\/(-24))\/((-7)\/(-9)). Let x(k) = -5*k + 3. Determine b*p(f) + j*x(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0*v - 3*v + 0*v)*(191*v**2 - 226*v**2 - 621*v**2 - 481*v**2).\nAnswer: -3411*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -229 + 133 + (2 - 15)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 33. Which is the closest to -1\/3? (a) i (b) 0.41 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c + 1. Let j(u) = 23*u - 157. Let y(r) = 2*d(r) - j(r). Suppose 0*b = b. Is y(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(42\/(-154)*-11)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -127\/3. Let b(j) = 4*j**2 + 7*j + 2. Let x(n) = -7*n**2 - 14*n - 5. Let v(s) = 5*b(s) + 3*x(s). Let m be v(-6). Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 20. Let p be ((-27)\/36)\/((-50)\/16 - -2). Let n = -36 - -109\/3. Which is the closest to -7? (a) l (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150.29 - -150.05. Which is the fifth biggest value? (a) 0.1 (b) -3 (c) l (d) 0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -46. Let a(i) = 0 + 2*i**3 + k - 3*i**3 - 4*i + 7*i**2. Suppose -7*p - 24 = -11*p. Give a(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 4*h**2 - 4*h**2)*(2*h - 2 - 2 + 2).\nAnswer: -6*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 3*j - 3. Let c be s(2). Let y be -1 - (c + 1)\/3. Let x = 0.1 - 5.1. What is the closest to -0.2 in x, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -15. Which is the nearest to 2? (a) 0.4 (b) -0.1 (c) p (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -57, 46, 187, 366, 583, 838?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228225 and 1350225.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4676 and 668.\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 10*w + 0*w + 7*w - 2061677*w**2 + 2057510*w**2.\nAnswer: -4167*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 77*b + 185*b - 109*b + 2 - 4.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + r = -4, -2*v - r - 8 = 2*r. Let x be v - 1 - (-21)\/9. Which is the nearest to 2\/3? (a) -5 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360006205*n**5 + 142796173*n**2 - 1.\nAnswer: 21600372300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w - 10. Suppose -4*b + 1970 = 2*q, -5*q = -w*b - 5307 + 312. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 7*a - 608 + 560, 2*l + 5*a = -36 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 163 = -5*q + 41, i + 1 = 0. What are the prime factors of 40*q\/(-15) - 1\/(-3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -18 + -7 - -12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324035 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -67870 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 152 = -39*o + 366 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-6 + 10 + -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4*1\/2 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35224 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**4 - 6*u**3 - 60*u**2 + 11584 wrt u.\nAnswer: 8*u**3 - 18*u**2 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10220 (base 5) to base 11\nAnswer: -573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13883 - 444191\/32. What is the common denominator of h and -49\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 6*o**2 + o**2)*(-3*o - 4*o + o + (2*o + 2 - 2)*(-2 + 0 + 3)) + 3*o**3 + 4*o - 4*o.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 79, 29?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*y = -7, -2*t = y + 4*y + 2. Find the third derivative of 3*z**2 + 7*z**6 - z**2 + 4*z**6 - t*z**2 wrt z.\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/10 + 2361*a**2\/5.\nAnswer: a**2*(a + 4722)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2774*h - 7098 - 14506 = -3933 + 12843 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j**2 - 2 - 56 - 2 + 64 as c*j + n*j**2 + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1912*d - 43*d + 1869 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2511596 to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from {a: 1, f: 4, y: 2, d: 3, g: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:47 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 7. Let o = s + 2. What is the remainder when (-147)\/o + (-4)\/10 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 21*x - 148. Suppose 0 = -b + u + x, 5*b - 1 - 17 = 2*u. Solve -4*v - 6 = b*d + 4, -d - 15 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 3. Let i(z) = -6*z - 4. Let m(p) = -5*h(p) - 4*i(p). Determine m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v, 0 = -4*l + 2*v + 2*v - 16. Suppose l = -4*n + 7*n - 9. Let s be -1*(-2 - (-2 + n)). Solve 2*f = -x - 13, -x + 7 = -s*f - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/38*((-3)\/1)\/((-23103)\/(-30804))?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*d**2 - 252*d**2 + 22*d**3 - 254*d**2 + 678*d - 62*d**3.\nAnswer: -40*d**3 + 5*d**2 + 678*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81666 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -5. Suppose 2*k + 20 = 4*a, -3*k - 8 = -4*a + p. Let f(y) = y - 1. What are the prime factors of f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5467019?\nAnswer: 5467019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k - k + 0 - 3*k + 6. Let s be x(5). What are the prime factors of (-6)\/21 + s\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.999 + 398.9538. Let o = m - 341. Round o to 3 decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/23, -42, -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o + 170*o = 45*o + 3842 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 0 - (-1845 - 2))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u + 344 = u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (-6)\/3 + 38 + -9?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 5*h - 2*h)*(-218 + 162*h + 218).\nAnswer: 648*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g - 5. Let v be g + 0 + 0 - -2. Suppose 0 = -5*r - r + 30. Sort v, r, 0 in descending order.\nAnswer: r, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7612 - -7612.2. What is the closest to 1\/2 in z, 1, 0.26, -6?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)\/f*f)\/(f\/(f**(-1\/10)*f))*f**(-3)\/f**(3\/2) assuming f is positive.\nAnswer: f**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -44*d**3 + d + 1. Let z be t(-1). Suppose -2*y - z = 4*j - 7*j, j = 4*y + 28. Let m = 25 - 5. What is the least common multiple of j and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/(-18)*2\/(-8)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-1)\/4). Let v be 3\/q*8\/3. Suppose 0 = 3*m - 2*o - 12, 2*o = -5*m - 0*o + 20. Solve 0 = -m*n - v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3253344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 267557001 to the power of 1\/2, to the nearest integer?\nAnswer: 16357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.554 - 0.154. What is the biggest value in 1, -0.4, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3355, 13058, 29109, 51508, 80255, 115350, 156793?\nAnswer: 204584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323.627 != -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4428 + -3004. Let p = -22723\/16 + f. Find the common denominator of 49\/6 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 2*v + 4*v)*(-2 - 5*v + 2) - 23*v + 11*v + 15*v - v**2 as u*v + z*v**2 + w and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 115680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1125*a**3*c**3 - 3*a**3*c**2 + 98*a**3 wrt c?\nAnswer: -6750*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 25*t + 48. Let s(d) be the third derivative of 0 + 0*d**3 - 1\/60*d**6 + 4*d**t + 1\/12*d**4 + 0*d + 0*d**5. Suppose s(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2. Let d(o) = 17*o - 18. Let t(g) = 69*g - 69. Let h(k) = -23*d(k) + 6*t(k). Give l(h(c)).\nAnswer: 4232*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j + 44225. Suppose 385350 = 47*h - 17*h. Let s = h + j. What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74815 - 74808.7053. Let r = -6.3 + u. Round r to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 k, and 1 x when four letters picked without replacement from {x: 3, k: 4, o: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 34*q**2 - 511*q + 3. Give t(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3316*y = -3342*y + 243646. Is 321 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = 1. Let o(f) = -f**3 - 4*f**2 - 1. Let t be o(-4). Let v be (-1 + 11)*t\/(-2). Solve -x = -2*d, 2*d = 5*n + v - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) - (-84)\/30. Let a = 0 + 3. List the prime factors of 3 - (l\/a)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -144\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0*o**2 + 10\/3*o**4 - 6*o**3 - o - 1\/5*o**5 + 63. Factor w(n).\nAnswer: -4*n*(n - 9)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daa when three letters picked without replacement from {d: 2, a: 3, c: 3, b: 10}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 8*s**2 + 3*s + 5. Let c be -48 + 45 + -1 + -2. Calculate f(c).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028278 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - i + 21 = -4*p, 3 = i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (-1 + 1*sqrt(684))*2)**2.\nAnswer: -288*sqrt(19) + 8256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2*i + 1372 - 1378, -12*f = -2*i + 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**3 + 25*j**2 - 21*j + 2. Let a be q(3). Calculate the highest common divisor of 72 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/45 and 56\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 222. Suppose -x*c - 72 = -7. Let f(o) = 2*o + 8. Calculate f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1))\/(2 - -1) + -5. Let x be (-1)\/1 - (t - 238). Suppose -3*d + 4*y = -x, 5*d - 277 = -3*y + 136. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 168*l - 7866. Determine m(38).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -317634.\nAnswer: -1\/317634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -22 (c) -2 (d) -2\/7 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 9}. What is prob of sequence mmlm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10*z)\/z**(-3\/2))**50 assuming z is positive.\nAnswer: z**625","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3967?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t - 3. Suppose t*f - 2 = -3*m - 244, 2*m = 5*f - 128. Let h = -35 - m. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -39.66, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 1079 = -1043. Solve l = d*g + 6, -5*g + 2 - 1 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175892727?\nAnswer: 1175892727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/42 + (-2)\/((-14)\/495). Suppose l*m - 72*m = -43. Suppose p - g = -p + m, -p - 5*g - 6 = 0. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:05 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 3. Let f be n(3). Let t = -1 - f. Suppose r + 4 = t. Which is smaller: -5\/2 or r?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 6:32 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(4 + -1 - 1). Solve 8 = 4*f + 2*p - p, v = 2*f - 3*p - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -6, 20 = 4*w + 4*r. Let v(q) = -q + 4. Let g be v(4). Let h(o) = 3*o + g*o + 3*o - 3 - o. Give h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f\/(f*f**(2\/31)*f)*f)\/f)\/f)*f)**(-23)*f*(f\/(f**(-2\/7)*f*f))\/f*f*f*f\/f**(2\/43) assuming f is positive.\nAnswer: f**(-1066017\/9331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*z + z**3 + 1 - 507*z + 0 in the form b*z**2 + y*z + h*z**3 + g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 233*y + 2333. Let b be q(-10). Solve -b*k - a - 13 = 1, -k - 12 = 4*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 15, 4*d + 549 + 42 = 3*k. What is the common denominator of (-100)\/d - (-8)\/(-12) and -151\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -25*s + 1309. Determine b(53).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2506 + -203. List the prime factors of m.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 68. Let p = 40 - u. What is the lowest common multiple of 34\/p + (-1)\/(-3) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from mmsmmmmmmmmmmmmsmmmm?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 40 + 8. Solve a + x = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12\/2873 (b) 12 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50213061.\nAnswer: 3, 47, 39569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26605 by 21966.\nAnswer: 26605\/21966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -33 + (42\/(-7) - -7). Let a = 57 + g. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Let y(w) = -w**3 + w**2 + w + 39. Is y(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 1, w: 1, p: 2, d: 1, s: 1}. What is prob of sequence wf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((16\/10)\/(-4)). Put -4, -1, p in descending order.\nAnswer: -1, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/14 and 8\/(-84)*3 - (-1270)\/(-112).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(-2\/9))\/p*p)\/((p\/(p*p**(31\/4)))\/p))**(-1\/11) assuming p is positive.\nAnswer: p**(-395\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5 (b) 2\/15 (c) 39097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31958 is divided by 3539.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: cc7b (base 15) to base 14\nAnswer: 11b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s - 56 = 120. Calculate the remainder when 258 is divided by 9\/6 + -1 - 188\/s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -629*m**2 - 520*m**2 + 1042*m**2 in the form o + z*m**2 + k*m and give z.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186\/35 - 407\/70. Sort b, -3, -0.3, -3\/2 in descending order.\nAnswer: -0.3, b, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(448) + sqrt(448) + sqrt(448) + -1).\nAnswer: -144*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406282806719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-4)\/(-22) + 45\/297). Let s be 303\/(0 - (k + -2)). Suppose 221 = 4*l - s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/6 + 5*r**3\/6 - 3*r**2. What are the prime factors of b(-7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2 + 2*c - 1. Let w(y) = y**3 + 4*y**2 + 3*y + 3. Let f be w(-3). Suppose 3*b - f*p = 18, 3*b + 22 = 5*b - 4*p. Give v(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*l + 16*l + 1 + 0*l in the form m*l + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/30*153\/(-33). Is s greater than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76b30 + -5?\nAnswer: -76b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*u - 110 + 102, 3*u - 4*f + 32 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*10\/(-25)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 51 + 50*z - 47*z.\nAnswer: 3*z - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -1671478, 9 in descending order.\nAnswer: 9, 5, 4, -1671478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 296.3 and 1204.27883?\nAnswer: 907.97883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453858053?\nAnswer: 11, 97, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**(1\/29))*x*x)\/(x**2\/x))**34)**(1\/8))**(-28) assuming x is positive.\nAnswer: x**(-3570\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 8537575*d + 51225270.\nAnswer: 5*(d - 1707509)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339, 0, -1, 3 in ascending order.\nAnswer: -339, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)\/x)\/((x*x**(1\/3))\/x))\/(x*x**1\/x*x)**(1\/10)*x\/((x\/(x**(-6)\/x)*x*x)\/x)*x**(2\/5)\/x*x*(x\/(x*x*x\/(x\/x**0)))\/x*x**6 assuming x is positive.\nAnswer: x**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-1)*(-36)\/(-96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/20)\/((-7)\/(-56)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + 0.5. Let o = -1.5 + 1. Let a = 8 + -8.3. Put o, a, i in descending order.\nAnswer: i, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-21))\/((-1)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 16*m**2 + 10*m - 4. Let u be y(-7). Suppose -25*h + u*h = -135. Calculate the remainder when h is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 15*d + 31. Let r = -489 - -483. Let t be z(r). Solve 3*l + l - t = 5*q, -l + 3 = -q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6 + 6\/4. Let n(w) be the second derivative of 0*w**3 + 1\/6*w**4 - d*w + 0 - 1\/2*w**5 + 0*w**2 + 4\/15*w**6. Factor n(m).\nAnswer: 2*m**2*(m - 1)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*w + 9 = 0, o + 3 = -3*w + 18. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2994*l + 92 = -2971*l. Suppose -2*p = 41 - 5. Let v be 14\/63 - (-166)\/p. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153) + -5 + -2 + -1*sqrt(17) + sqrt(272) + 2.\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 68 - 135)*(1 - 1 + 6)*(-3*b - 3*b + 5*b).\nAnswer: 384*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1214 + -722. Let t = v + -491. Which is the nearest to 1? (a) 15 (b) -0.1 (c) 2\/9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let u be o(0). Suppose u = 8*r - 3*r - 90. Suppose 35*z + 2584 = -42*z + 126*z - 62. What is the highest common divisor of r and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 7. Let z(b) = b + 2. Let i be z(-8). Are q and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d**(2\/17)*d)\/d*d)\/d**(2\/7)*(d*d**0\/d)**(-1\/31))**(4\/25) assuming d is positive.\nAnswer: d**(1824\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a minute?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2660 + 56 = -7*h. Suppose 0*f = 5*f - 4*a - h, 0 = 3*f - 5*a - 231. Suppose d - t + 2*t - f = 0, -5*d = 2*t - 357. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/198672 and 95\/5637318.\nAnswer: 45098544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223243 is divided by 24660.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llsdlsqpl. Give prob of picking 1 d, 1 s, and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 - 229 + 1176 - 230 - 240 - 85*l - 232.\nAnswer: -85*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = h - 2, x - 8*h - 27 = 2*h + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2549*v. Let r(z) = -2*z**2. Give r(l(m)).\nAnswer: -12994802*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 10*g**2 - 6*g - 3. Let u be x(-7). Solve 8*t - u + 170 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q + 11. Let d be -5 - -3 - -8 - 2. Let y(w) = -2*w - 5. Let h(i) = d*s(i) + 9*y(i). Let a(f) = f. Give -4*a(u) - h(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 52. Let x = -55 + p. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/12 - 7*t**3\/6 + 5*t**2\/2 - 486*t + 5. Let n(y) = y - 4. Let h = -4 - 0. Let w be n(h). Determine u(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.826 * -0.12\nAnswer: -0.21912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*n + 3, -2 = -3*n - 5*i - 0*i. Let s = -2715385\/10751 - 228\/827. Let m = 253 + s. What is the closest to n in m, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*((sqrt(180) + -3 + 2 + sqrt(180) - sqrt(180) - sqrt(180)) + sqrt(180) - (0 + 2*sqrt(180))) + -4) + -2)**2.\nAnswer: 13248*sqrt(5) + 105796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0*2\/4. Suppose 5*z = c, -c + 0*z + 12 = z. Find the third derivative of -4*o**3 + o**j + c*o**3 - 7*o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481 + -478. Let f = -28 + 43. Calculate the greatest common divisor of f and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 641 and 0.2.\nAnswer: 641.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25962 + 0.26. What is a rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2145886308 to the nearest integer?\nAnswer: 46324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 66 = -a, a - 4*q = -0*q + 48. Is 69 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 15143 - 15121. What is the remainder when 1515 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llaaaaaaiaaliiila. What is prob of sequence aiii?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230879 - 5?\nAnswer: 230874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -u - 28, -h = 3*u - 6*h + 76. Let o = -13 - u. Calculate the lowest common multiple of o and 6\/21 + 24\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 1 - 3*c**3 + 1 - 601*c**2 + 604*c**2 - 1. Determine j(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -0.5, 0.2, -0.09, -2, -68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, 492, -1, 8 in increasing order.\nAnswer: -2, -1, -0.3, 8, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*t - 1, -18*t + 16*t + 11 = -5*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + -1 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 148727\nAnswer: -1635997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1000101001000001011010111010?\nAnswer: -1000101001000001011010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 434572364 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 7*w**2 - 82*w - 430. Let s be v(-6). Solve -s*n + 108*n = 574 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/2)*((o*o\/o**(-7))\/o)\/o)**47 assuming o is positive.\nAnswer: o**(1081\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 4. Suppose -5*k - 1 = -16. Let v(y) = -k + 1 + 0 + y + 0. Give 6*d(b) - 13*v(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 3, 2\/7, 0.09.\nAnswer: -12, 0.09, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = -j. Let d = j - -1. Let y(o) = o**3 - 4*o**2 - 5*o + 2. Let w be y(5). Is w smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3634372 divided by -2?\nAnswer: 1817186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5 - 205215*i**4 + 615675*i**3 - 615685*i**2 + 205230*i.\nAnswer: -5*i*(i - 1)**3*(i + 41046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -0*g - 3*g + 286. Calculate the remainder when 678 is divided by g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*f + 395, -4*i = -0*i + 3*f + 534. Let m be i\/(-18)*(-2)\/(-3). Let r be m\/2*(-4)\/(-5). Solve -20 = -2*l - r*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2142 - -2164. Let o(m) = 6*m**2 - 2*m + 2. Let d be o(2). Calculate the highest common divisor of d and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2)*6\/(-4). Suppose 0 = -2*x + l + 1. Find the third derivative of 4*b**x + b**2 + b**2 + 4*b**4 - 2*b**2 wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -2*m - 4*p, 164 = 2*m - 4*p - 2. Suppose 0 = 5*i + 3*n - 249, -5*i - 4*n + m + 171 = 0. 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: Simplify (((r\/(r\/r**(2\/3)*r))**(-13)\/(r*r*r*r**(-3)*r*r**(2\/7)\/r))**32)**(3\/20) assuming r is positive.\nAnswer: r**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 25 = -2*u. Let r be (4\/(-14))\/(195\/42 - 7). What is the second smallest value in r, u, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijapiyiaaip. Give prob of sequence aayp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(81 + 71012\/(-902))\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124959.761 rounded to the nearest 100?\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-9)*-21)\/(1\/1). Let j(s) = 4*s**2 + 24*s + 19. Suppose 3*k - 2*k = 12. Calculate the remainder when j(z) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 166, 162, 156?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 70833*g**2 + 16266888*g + 929434932.\nAnswer: -3*(g - 23839)*(g + 114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1049\/4543 + 249\/4543. Let 8\/7*c**2 + 22\/7*c + 12\/7 - y*c**3 = 0. What is c?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from nggoggggogoaoozzogo.\nAnswer: 56\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 15. Suppose 0 = o*v + 3*v - 18. Solve 2*r + v = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 219872?\nAnswer: 1099360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/20 - 11*g**2\/2 + 4*g. Differentiate f(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -123.1, 2\/7, 6.4, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**27)**(3\/8)\/((a**(-2\/3))**(-33)*(a**0)**(-33)) assuming a is positive.\nAnswer: a**(-535\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhzhhyk. Give prob of sequence kh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014012 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 33, 45, 59, 75, 93, 113?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/9 - 22*b\/9 + 19\/3.\nAnswer: (b - 19)*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 82, 254, 586, 1132, 1946, 3082?\nAnswer: 4594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349 is divided by 673.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*r - 3*z, 124*r - 120*r + 18 = -3*z for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from bjsabbswsw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 361*j**2 - 10784*j - 84224.\nAnswer: -(j + 16)**2*(j + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/11*r + 4\/11 - 10\/11*r**3 + 24\/11*r**2.\nAnswer: -2*(r - 1)**2*(5*r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olllblfljoooljlbf. What is prob of picking 1 l and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3501, 7061, 10691, 14379, 18113, 21881?\nAnswer: 25671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3)\/(-8))*8\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1150, -2324, -3496, -4666, -5834, -7000?\nAnswer: -8164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.5, -0.04, 24, -27469, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.54947 and 12562?\nAnswer: 12560.45053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 + 5715*b**2 - 5730*b - 11440 = 0 for b.\nAnswer: -1144, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78.6 + 77.6. Sort -3\/4, 1\/5, b, 30 in ascending order.\nAnswer: b, -3\/4, 1\/5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1 (c) 1\/7 (d) -19 (e) 4 (f) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k**2 - 6*k - 7. What is the hundreds digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82352874 to 2 decimal places.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + -1 - (-34 + 101)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4773 - 0.0273. Let t = j + -1.25. Suppose 0 = -2*z + 3*c + 51, 3*z + 2*c = 6*c + 78. What is the closest to 0 in t, z, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, t: 1, x: 6, i: 3}. Give prob of sequence mxxt.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.156 + 0.056. Let v = 3 + o. Let q = -2.9 + v. Which is the closest to 2\/7? (a) 4 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4 - 604*m**3 + 19048*m**2 - 181776*m + 112896 = 0. Calculate m.\nAnswer: 2\/3, 16, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.27, 5, -7\/2, 3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-1)\/(-1) + -3. Let p = 1.5 - 1. Let m = 43 + -47. Which is the closest to t? (a) m (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314.1 + 297. Let z = h - -17. Let s = -9 - -4. What is the second biggest value in 4\/7, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10\/v)**(-3\/23)\/(v\/(v*v**(2\/5)))**(-21) assuming v is positive.\nAnswer: v**(-1101\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2988 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, 2\/103, -2\/13, -5, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709146454?\nAnswer: 2, 29, 43, 284341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1448072.364 - 387285.\nAnswer: -1835357.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838877.5ng to milligrams.\nAnswer: 0.8388775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/28 + (-2)\/(-8). Suppose 2*r = -b*r + 10. Let k = r + 30. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = 77. Let b be g\/8 - (-2)\/(-4). Let w(v) = 21*v**2 - v - 1. Let l be w(b). Calculate the highest common factor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8893 is divided by 2957?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 0)*(154*r + 98*r - 87*r)*(0*r**2 - r**2 - r**2) to b*r + s*r**3 + d*r**2 + n and give s.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28441*i - 187029 - 902574 = 1015031 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43*38\/(-1634)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-152 - -59) + 85 + 10 + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6 - (3800\/(-285) - (-90)\/(-5))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888842, -888841, -888840, -888839, -888838, -888837?\nAnswer: -888836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153*g*r**4 + g*r + 147*g - 2 wrt r?\nAnswer: -612*g*r**3 + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5569922?\nAnswer: 2, 2784961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -281252 divided by -70313?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-200 + 206 - (2 + 1 + -6))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81310 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 5*v\/2.\nAnswer: v*(v - 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 5*w - 147 = 0. Suppose 5*r = 5*f + w*r - 28, 22 = 4*f + 2*r. What is the least common multiple of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 - 8*s + 20 = 0 for s.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -8.03. Let r = 206.03 + -208. Let h = r + d. What is the third biggest value in h, 4, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2447*x**2 - x - 12. Let f(y) = 4897*y**2 + 2*y + 22. Determine 6*f(z) + 11*w(z).\nAnswer: 2465*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 + 3*t - 2. Let d be (-9)\/(-60)*4*-5. Is 3 a factor of b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 13 - 17 = 0. Let u = -8 - i. Which is the third biggest value? (a) 1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 9371434.7238?\nAnswer: -9371443.7238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01837528281 rounded to four dps?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32020 + 1614?\nAnswer: 33634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 807 = -113*b - 503 + 316 - 479, 4*b + 64 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -17, -1, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -232?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-10)*t**(-1\/14))**(24\/5))**(-27))**30 assuming t is positive.\nAnswer: t**(-297432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8.000034. Round a to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*3*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -59*b + 799. What is u(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4712 - -4072?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*r - 3522, 0 = -r - 18 + 17. What is the highest common divisor of 800 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, -2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 16. Let m(s) = 9 - 2*s + s - s. Let k be m(h). Let u(v) = 3*v + 7. Calculate u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 62833.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190849?\nAnswer: 29, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s + 1. Let y(q) = -74*q**2 - 16*q + 29. Let g(z) = -3*m(z) + y(z). Find the second derivative of g(u) wrt u.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 + 1\/33*f**3 - 1\/110*f**5 + 5*f - 1\/33*f**4 + 2\/11*f**2. Find g such that y(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - 5) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -10\/23 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29902880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5990, -5134, -4278?\nAnswer: -3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 15, 60 = 4*u + 4*v + 80 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2466*b**2 - 123841 wrt b?\nAnswer: -4932*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g + 59. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*z = 19*z + 62228. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtclnyn. Give prob of picking 1 y, 1 t, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocuqnolqcocnqo. What is prob of sequence on?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - 5 + 1 + 47*s - 7 + 0. Is b(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*g - 3 = -19, -4 = -3*u + g. Let v(a) = -3 - 2 - u*a**3 - 4*a**3 + 5*a**3 + 5*a. Is v(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.17, -0.3, -1\/4, 0 in ascending order.\nAnswer: -0.3, -1\/4, 0, 0.17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311 - 316. Let l(i) = -7*i**3 - 17*i**2 - 14*i + 3. Let g(w) = 4*w**3 + 9*w**2 + 7*w - 2. Let o(c) = v*g(c) - 3*l(c). Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 161 + 80 - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:10 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 - 2 + 2 - 5*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -4*j**2 + 2\/3*j**3 + 9*j - 2 - 29\/12*j**4. Find the second derivative of b(h) wrt h.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 8*r**3\/3 - r**2\/2 - 6*r + 139. Let j(i) = -15*i**2 + 2*i + 11. Calculate -11*b(z) - 6*j(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/40 + 29*a**4\/24 + 46*a**3\/3 + 84*a**2 + a - 96. What is t in r(t) = 0?\nAnswer: -21, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34 - 3.66. Let p(j) = 38 - 13*j + 0*j + 15*j. Let l be p(-20). Which is the third biggest value? (a) v (b) -0.3 (c) l (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1.60861\nAnswer: -6.43444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 505041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*c - 2*c + 28, 3*r - 16 = 2*c. What is the units digit of 48 + (8 - (r + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 4140?\nAnswer: 33120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 461*y**2 + 46*y - 80. What is the ten thousands digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:36 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267 + 280. Solve 11 + j = 6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j, 0 = -l + 4*j - 19. Let g(o) = 9*o**2 - 11*o + 28. Does 39 divide g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-16)\/(-8448))\/(((-315)\/(-40))\/7)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guyq when four letters picked without replacement from uwqqqqgygq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 11}. What is prob of sequence pppp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 2012 = 8*o + 2*c, -5*o = -3*c + 3354. What is o rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 41872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 2*y - 5. Let z(g) = -5*g**2 + 0*g**2 + 1 - 3 + 4*g**2 + g. Let t(h) = 4*n(h) - 10*z(h). Suppose t(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - u + 391, -4 = -5*u + 1. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 69.592977 nanoseconds?\nAnswer: 0.0000000000193313825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-14)*175\/(-50). What is the units digit of 6\/m*(22 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 34, -4 in increasing order.\nAnswer: -6, -4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9062*f + 60. Let t(w) = -9064*w + 50. Give 6*t(k) - 5*v(k).\nAnswer: -9074*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9211*u + 1131*u - 3466*u)*(-2*u + 0*u + 4*u).\nAnswer: 13752*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4347.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 0.38. Suppose 2*g + 2*g - 356 = y, 0 = -2*y + 8. Let m be ((-27)\/g)\/(8\/10). What is the nearest to -0.1 in -2, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127 - 0.029.\nAnswer: -127.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169145 and 405948?\nAnswer: 2029740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14660929*d**2 - 206 - 1666 - 14660925*d**2 + 928*d = 0.\nAnswer: -234, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/675)\/(5*2\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14944611 + 14944726.00047. Let g = w + -115. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) -0.3 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + j**2 + 6*j + 1. What is the units digit of p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4691381 months in millennia?\nAnswer: 0.000122428175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*x + 24 + 8*x - 47 + 23.\nAnswer: 271*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + 9*y - 18*y - 36*y + 2*y as b*y**3 + g*y**2 + n + r*y and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1376465290 to the nearest one million.\nAnswer: -1376000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -385793482889352 - 2\nAnswer: -385793482889354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 890\/3 + -297. Let f be ((-6)\/46)\/((-24)\/(-48)). What is the second smallest value in -0.5, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f**2 - 39*f**2 + 14*f**2 + f + 15*f**2 + 8 to the form b*f + p*f**2 + t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44375*h**5 - 28*h**3 - 22*h**2 + 193324?\nAnswer: 2662500*h**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142221100 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: Put 3, 9, -13, 0.07, -2\/31, 0.5 in increasing order.\nAnswer: -13, -2\/31, 0.07, 0.5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y - 10. Let l(o) = -o + 1. Let f(a) = 3*l(a) + w(a). Determine f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 725*m**2 - 41692*m - 9268. What is k(662)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 21 = -2*w. Let y(g) = -g**3 - 6*g**2 + 6*g + 5. Let s be y(w). Is (-1)\/(-4) - (-45)\/s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkkkq. What is prob of sequence qkl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/155 - 41\/(-10)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13443707.\nAnswer: 23, 584509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 130, 131?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 261*y - 5383. What is k(-18)?\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a**3 + 0*a**7 + 0*a + 0 + 5\/336*a**8 - 3*a**2 + 11\/24*a**4 + 0*a**6 + 0*a**5. Find the second derivative of b(h) wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5347224 and 271236?\nAnswer: 37430568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 613396654 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 228 = -0*o. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:08 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35)*-2)\/sqrt(5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 180*w**5 + 192*w**4 - 3100*w**3 - 2104*w**2 - 352*w = 0. What is w?\nAnswer: -22\/5, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.03, -2\/7, -4, -7\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7424 and 32132?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6653, 13306, 19959, 26612, 33265?\n\"Answer: 6653*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 39. Let p(b) = 2*b**2 + 19*b - 5. Let k be p(g). Solve 0 - 8\/7*t**2 - 2\/7*t - 2\/7*t**k - 8\/7*t**4 - 12\/7*t**3 = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2618\/3 or 873?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 102\/27 - 4\/(-18). Let i be (2\/24)\/(k\/(-6)). Which is the smallest value? (a) i (b) 2\/11 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 629 = -5*b. Let r be 1 - 194*5\/(-10). Let o = r - b. Solve -o*p - 1 = 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:26 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4294 is divided by 444.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -475*g**8\/168 + g**6\/60 + g**5\/60 + 71*g**3\/6 - 1557*g**2. Find the third derivative of b(q) wrt q.\nAnswer: -57000*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1559 + -130409\nAnswer: -130409.1559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 201, 521, 979, 1581, 2333, 3241, 4311?\nAnswer: 5549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -19. Let j(r) = -9*r**2 + r + 1. Let w be j(2). Let m = k - w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 170191.118 to the nearest ten.\nAnswer: 170190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -13. Suppose 2*p + 53 = 5*h - 69, -n = -5*p. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 10. Let z be 0*((-2)\/2)\/(-1). Let v(f) = -f**2 + f + 34. What is the remainder when v(z) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261773*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - 5*f + 1. Let r be n(-7). Let l = r - 74. Calculate the highest common divisor of 90 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435992 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 10*a**2 + 14*a - 24. Let u be v(11). Suppose -u*z = -7*z. Let l be z\/1*14\/(-28). Solve 0*k + k - 23 = 4*r, l = -3*k - 4*r - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2916\/(-648)*160\/(-54) - 14\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a factor of 1122118286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Let w(k) = -k + 1. Let y be w(-4). Suppose 0 = 2*r - 5*r + 5*x + 27, 18 = 2*r - y*x. Calculate the remainder when r is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51554.07 - 51894. Let h = t - -149.02. Let r = h - -192. What is r rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f + 2. Suppose -5*p + 9 + 1 = 0. Let k be w(p). Solve y - 5*y = 5*i - k, 0 = -2*i - y + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287918 is divided by 287912.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - (-37)\/56. Let k = 1491.4 + -1502.4. Which is the biggest value? (a) k (b) i (c) -4\/5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - z - 10 = 0, 3 = z - 4*z. Let y(o) = u*o + 2 + 4 - 6. Let v(a) = -3*a. Determine y(v(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipn when three letters picked without replacement from lirlplpnppllnllnn.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 5*u**2 - 2*u + 6. Let n(j) = j**2 + 6*j + 3. Let y be n(-6). Suppose -5*d + 13 = -y*t - 22, 2*t - 5*d = -30. Is z(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.1238 - -17.52. Let h = 1.9 + -0.3. Let o = h + b. Round o to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = -5*q + 4, 4 = -b + 4*q. Let g be 12\/(-9) - (-2)\/(-3). Let r be 1\/g + (-86)\/b. Solve -5*j - n = 1 + 18, n = 5*j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -951.4 less than 3.1?\nAnswer: 954.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**2 - 1 + 126*v + 129*v - 255*v.\nAnswer: 22*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/2025?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + (-40)\/(-32) - -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101002012 - -10220?\nAnswer: 1101020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16)*4\/(-12)*(-18)\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 3840198132.794.\nAnswer: -3840198133.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032451 to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2 + 113272497*d - 113272500 = 0.\nAnswer: -37757500, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 10*p + 1. Let x be v(10). Let j be (x\/(-5))\/1*3. Which is the biggest value? (a) j (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106, -202, -296, -388?\n\"Answer: u**2 - 99*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2907 + 2908. Let r(b) = -b**3 - b - 5. Let m be r(0). Put d, 2, m in descending order.\nAnswer: 2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 1. Let b(n) = -4*n + 15*n**2 - 28*n**2 + 9*n**2 - 2*n**3 + 12*n**2 - 4. Calculate -b(m) + 4*g(m).\nAnswer: 2*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616934*z**3 - 48*z**2 + 23*z**2 - 617798*z**3 + 25*z**2.\nAnswer: -864*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by 8\nAnswer: 125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**2 - 2*u - 1\/6*u**3 + 18. Let y(q) = -66*q. What is j(y(f))?\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o + 4. Let h(b) = -b**3 - 4*b**2 - 7*b - 1. Let c = 108 - 111. Calculate the remainder when h(c) is divided by j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/20? (a) 1 (b) -5 (c) 3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101021110 (base 3) to base 8.\nAnswer: 16503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 420 = -282. Suppose 37*s - n = 40*s. Is -1*(-2)\/s + 8352\/81 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14424, -14435, -14446, -14457, -14468?\nAnswer: -14479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) + sqrt(170)*2)*-1)\/(1*sqrt(1210)) + -4*(sqrt(17)*-1 + 2 + 4))**2.\nAnswer: -2016*sqrt(17)\/11 + 99684\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28990537, -115962131, -260914785, -463848499, -724763273, -1043659107, -1420536001?\nAnswer: -1855393955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12236 = 4*t + 2*m, -t - 3*m - 1137 = 1917. Let r = t - -7109. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quzfzqfqqqqzuqufq. Give prob of sequence quq.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29674 (base 12) to base 14.\nAnswer: -171b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3 + 11. Suppose 2*q - 2*i = -36, -3*i + 0 + 9 = 0. Let r = q + 25. What is the smallest common multiple of j and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - 5 - (2 - -4). Let v(y) = y**2 - 3*y - 4. What is v(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 13. Give s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-14)*q)\/q**(2\/21))\/(q*q**(-17)*(q*(q*q**13*q*q)\/q)\/q))**12 assuming q is positive.\nAnswer: q**(-1016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 82190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 2*((-4)\/(-2))\/2 + 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -19*h**5\/30 + h**4\/24 + 2*h**2 + 102*h. Let v(u) = 2*u**2. Determine v(w(p)).\nAnswer: 2888*p**4 - 152*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let x be (150\/(-125))\/((-4)\/(-10)). Let o be (12\/(-3) + 2 - x)*-2. What is the closest to f in -5, o, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = -2*s + 20, -l + 1 = 0. Let b be (52\/s - 4)*1*24. Calculate the greatest common divisor of b and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71686.63 decades in months?\nAnswer: 8602395.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15774801, -31549600, -47324399, -63099198?\n\"Answer: -15774799*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 148896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11545 + 11660. Solve 0 = -58*u + 81*u + x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4456 - -4449. Which is the closest to -1\/5? (a) -9\/8 (b) -1\/6 (c) -1\/2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.469 + 3.470679. Round s to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -301*a - 605*a - 7 + 8 + 309*a - 593*a as u + v*a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2)*1\/(-2). Let l(y) = 2*y**3 - y**2 + 2. Let o be l(-1). Let u be (-3 - o)*(-36)\/24 - -10. Solve 5*d + 2 = -z*t - 9, -5*d = t + u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308 - 298. Let t be 100\/30*(-12)\/k. Is t greater than or equal to -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*o*y**2 - c*y**3 + c*y**2 + 417*o**2 + 57*o*y**3 - 3574*y - 2 with respect to o.\nAnswer: 3*c*y**2 + 834*o + 57*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 0.5.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 4*z - 19. Let w be k(-3). Solve 8 = w*d - 5*d - v, 0 = 5*d - 2*v + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903527.5 seconds to microseconds.\nAnswer: 903527500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 + -2053?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(11) + -2).\nAnswer: -5*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/9)\/((-2)\/108). Let p be (3 - d\/(-8))*-2. Is 54\/4*26\/p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68217715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -50*f - 2. Let w be c(-1). Suppose j - w = -3*j. Is j < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 3, l: 7}. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45513733 = 4*z + 70086267. Round z to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*c + 4. Suppose -c*h = -h + 18. What is the tens digit of (-6 - -4)*23\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*27\/39015*-17)\/(3\/6)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 10) to base 13\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*s + 12, 13 = -3*s + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 35*p - 202. Determine z(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 451. Let y = n + 683. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:04 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 22*n**2 - 61*n + 6. What is the lowest common multiple of 300 and w(3)?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2*r**2)*(5*r - 5*r - r)*(-3*r - 9 + 9).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48314638 and 50518.\nAnswer: 3886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:00 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 3*r = -6, 4*p - 3*r = 0. Suppose -4*g + 4 = u - 46, 4*g + 70 = p*u. Calculate the remainder when 112 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 298912*d. Let v(f) = -20*f. Give v(h(z)).\nAnswer: 100*z**2 + 5978240*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2014 divided by -54303\nAnswer: 2014\/54303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvkz when four letters picked without replacement from {m: 2, v: 6, k: 2, l: 1, z: 3, g: 5}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 298325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2757*w**3 - 2930*w**3 + 8590*w**3 - 2451*w**3.\nAnswer: 452*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 15*d = -10*d - 52, -2*i + 3*d = 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264585395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167800288.\nAnswer: 2, 5243759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -43*o + 1. Let b be r(-2). Suppose -3*l = -6*l + b. Let x = -8 - -18. What is the remainder when l is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011609914 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {i: 6, g: 7, w: 6}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*n + n. Suppose -3*q + 5*q + o = n, 108 = 3*q + 3*o. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23196631.\nAnswer: 23196631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18c0 (base 15) to base 10\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1.9. Suppose 12*n = -0*n - 7860. Let o be n\/(-1365) + ((-20)\/14 - -1). Which is bigger: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 194768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*r = -102*r + 384. Let h be (-16)\/(r\/6) + (6 - 0). Solve 0 = -7*z + 9*z - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 332*q**2 + 3*q - 2. What is the hundreds digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91277194 and 873.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (2\/(-2) - 0). Let t = -5 - q. Which is the closest to 2\/7? (a) -1 (b) -3\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -4*w - 1\/3*w**3 - 3 + 2*w**2. Determine d, given that h(d) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8*u - 9. Let o(v) = v**3 + 17*v**2 - 19*v - 24. Let t be o(-18). Determine r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k + 2. Let d be r(-4). Let q(o) be the first derivative of -5\/3*o**3 - 1 - o - 1\/2*o**4 - 2*o**d. Factor q(w).\nAnswer: -(w + 1)**2*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*u**3 - 92*u**3 - 103*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(56\/(-8)*42\/147).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*j + 17 = 0, 6710*j - 23 = -2*l + 6713*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/11, -5, 11.731?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**(-2)\/v*v)\/v*v\/v**(1\/3))\/(v*(v*v**(-1\/2))\/v*v*v\/v**(-1))*(v**(1\/5)\/(v*v**(1\/3)*v))**23 assuming v is positive.\nAnswer: v**(-519\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1423*f - 6 + 614*f + 4.\nAnswer: 2037*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 4*w - 2. Let u(s) = -s - 1. Calculate -t(r) + u(r).\nAnswer: r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 5*r + 3. Let o be z(5). Solve 7 - 1 = o*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.7. Let z = 57.5 + -50. Let s = 8 - z. What is the second biggest value in -0.2, j, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 15*h = 0. Find n, given that h*n + 0 + 1\/3*n**3 + 0*n**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 - 19) + 8451\/8463. Let i be (871569\/4836)\/(35\/2). Let n = i - q. Calculate the common denominator of -49\/5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 10626 = -25*w. Put w, -3, 1 in increasing order.\nAnswer: -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -43, -28\/11, 90, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 2. Let x(h) = 7*h**2 - 5. Let r(l) = 5*o(l) - 2*x(l). Suppose -3*k - 2*k = -10. Let q(i) = 2*i**2 + i**k - 2*i**2. What is r(q(y))?\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(0 - -3) + 5. Solve 4*b = 16, -j*w + 3*b - 5*b = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -987176*x**2 - 20*x - 1. Let b(s) = -4*s**2. Determine m(b(w)).\nAnswer: -15794816*w**4 + 80*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:26 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13460 and 5297220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -120\/14821?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -274272 (base 10) to base 15\nAnswer: -563ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 46303293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*z**2 + 11 - 11 to f*z**2 + k*z + h and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.90601455 to three dps.\nAnswer: -158.906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h = 46, 4*h = -5*r - 36 + 160. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 412 - 408. Let x(y) = y**3 - y**2 + 3*y - 3. Let q be x(2). Which is the third smallest value? (a) -1\/4 (b) -0.3 (c) f (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(128)*2 - sqrt(128)) + 2)**2 - 2*(sqrt(128)*-1 + -3).\nAnswer: -32*sqrt(2) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aura when four letters picked without replacement from {b: 5, u: 3, r: 1, a: 7}.\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2332 = 3484*y + 4064 + 3047 + 2189 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 109*a + 28*a + 70*a + 55*a + 2 - 2 - 2*a + 3 + 2*a - 3 + (0 + 0 - a)*(-3 + 2 + 0) in the form h*a + w and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 751642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-1)*2646\/(-189)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*9\/315*(-2)\/(-2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.63 + 2.63. Which is the closest to 0? (a) 3\/7 (b) 4\/15 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203253 (base 6) to base 8.\nAnswer: 172761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/9)\/(((-230)\/(-30))\/(-23)). Let q(h) = -h**3 - 59*h**2 + 5. Let g(j) = -j**3 - 89*j**2 + 7. Determine b*q(z) + 5*g(z).\nAnswer: 2*z**3 - 32*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240 - 4499 = 293*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.0807 (c) -0.1045 (d) 2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619186?\nAnswer: 2, 73, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2489 - 2379*a - 5008*a - 1358*a - 2489 to u*a + y and give u.\nAnswer: -8745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3925990 to the nearest integer?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1005779595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:37 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j + 93*j = -0*j + 22105296. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i\/(i**(1\/10)*i)*i)\/(i**(-2\/7)\/i**1))\/((i*i\/(i\/(i**(-2\/3)\/i)))**29)**(3\/37) assuming i is positive.\nAnswer: i**(4541\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -890814541, -890814543, -890814545, -890814547, -890814549?\nAnswer: -890814551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -55*-2\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 137200 to the nearest 1000.\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44838*y**2 + 3*y - 811 wrt y?\nAnswer: 89676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16767232607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 25 = 6*b + 3*s, 2*b = -3*s + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 286 and 1456?\nAnswer: 16016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8732.079 micrometers?\nAnswer: 0.000008732079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 92*r + 900. Let o be h(14). Put -920, 0, o in decreasing order.\nAnswer: o, 0, -920","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*q + 19 = 0, -2*y - 2*q + 6 = 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 9) to base 8.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:49 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1230 + 4?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -82*r. Let b(v) = 1224820*v - 1224820*v + 1 - 1 - 2*v**2. Calculate b(q(k)).\nAnswer: -13448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 233560447 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108054 and 16422.\nAnswer: 12858426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*m**3*w**3 + m**3*w + 216*m**2 + w**3 + w wrt m.\nAnswer: 1524*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 0)*13\/(-26). Let b = i - -7. Let d(m) = -m - 6. What is d(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.38 - -2.36. What is the closest to b in -5, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4\/4 - n**3 + 3*n**2\/2 - 3*n + 2. Let y be h(-4). Sort y, 4, -4 in ascending order.\nAnswer: -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - -22. Let m = s + -67. Solve m*c - 2*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12600515 (base 7) to base 13.\nAnswer: 317c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189674, -379348, -569022, -758696, -948370, -1138044?\nAnswer: -1327718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 340005.837 rounded to the nearest one thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 845754 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 10*k + 39*k**2 + 23*k + 17. Let t be v(-7). Suppose 5*g + 4*c + 82 = t, 0 = -5*g + c + 1764. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*g - 12 = 0, 4 - 16 = -3*o - 4*g. What is the second derivative of 0*m**2 + 0*m**2 - 15*m**3 + 11*m**3 + o*m wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19995.\nAnswer: 3, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*s**5 - 4644122*s**4 - 5266195852*s**3 + 117536934364*s**2 - 649383926334*s - 1281293442 = 0 for s.\nAnswer: -2301, -1\/507, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/5908 and -2\/78281?\nAnswer: 313124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(-8 + 20). Suppose -g - a = -29, 4*g - c*a = -3*a + 96. Let j = g - 13. Calculate the remainder when 47 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -150\/53, 117\/5, -13.\nAnswer: -13, -150\/53, 2, 117\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t = 67*t - 1078 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 15467.\nAnswer: 30934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.11619329, -0.2 in increasing order.\nAnswer: -1, -0.2, 0.11619329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/24 + d**3\/6 + 7*d**2. Let n be q(4). Solve -6*v = -n*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 + 4*b + 4. Let k be o(-5). Suppose 0 = 4*l - k - 91. What is the remainder when l is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose 4*n = -4, -o*m + 2*n + 0*n + 8 = 0. Solve 0 = -m*r + 4*x - 4 - 0, -4*x = 4*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + -20.3. Let y = i + 2.8. Let m = y + 21.4. What is the smallest value in 0.5, -8, m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-47)*n**(-4\/5)*(n*n*(n**(-3)*n)\/n)\/n*(n**0)**(-19)\/((n**(-1)*n)\/n*n*n**(1\/8)\/n*n) assuming n is positive.\nAnswer: n**(1763\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:34 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:02 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4022, 18419, 43204, 78383, 123962, 179947?\nAnswer: 246344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6492+85\nAnswer: -6407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:59 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -19*n**3 + 2*n**2 - 5*n. Let q(k) = 9*k**3 - k**2 + 2*k. Let t(m) = 5*q(m) + 2*x(m). Let l be t(-1). Does l = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -292. Suppose -5*g + 999 - c = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 7 = -3*k. Suppose -k*f = -4*f. Suppose -7 = -f*r - r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48342 = -218*s + 204*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(1 + ((sqrt(405) + 2 - sqrt(405)) + 4)**2 + ((sqrt(405) - 1*sqrt(405))*4)**2 + 3).\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 divided by 7?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i*i)**(10\/9)\/(((i\/(i*i**(-4\/9)))\/i)\/(i\/i**(-1\/5))))**(2\/33) assuming i is positive.\nAnswer: i**(458\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 12*n**2 + 15*n + 19. Determine v(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/10)*g**(6\/11)*g)**29\/((g*g*g\/(g**(-2\/7)*g))**(-3\/14)*g**(3\/8)*g*g*g**5) assuming g is positive.\nAnswer: g**(1005407\/21560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {s: 1, g: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:56 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13b852 (base 12) to base 4\nAnswer: 1100313332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 4*u**2 - 2*u. Let c(s) = -2*s**3 + 9*s**2 - 4*s. Let t be (102\/(-4))\/(-3) - 2\/4. Suppose -5*j - 23 = -t. Determine j*c(o) + 7*d(o).\nAnswer: -o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from fdhvlhv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 140. Solve 0 = -u*x - 8 + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 90544.51us?\nAnswer: 0.09054451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-42)\/(-9))*-35*(-6)\/63?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/1 + ((-33)\/(-3))\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288091 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3))**(2\/13)\/(l**(-4)\/l*l**4))\/(l*l\/(l\/(l**(-5)*l))*l*l**(-1)*((l*l**6\/l*l)\/l)\/(((l\/l**(2\/9))\/l)\/l)) assuming l is positive.\nAnswer: l**(-365\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1576*b**6 + 201*b**5 + 3*b**3 - 47795312*b**2 wrt b.\nAnswer: -189120*b**3 + 12060*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 2 w when four letters picked without replacement from wwmmmmmmwmmmwb?\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 8. Let o be 160\/26 - (-6)\/(-39). Let z be j(o). Solve 0 = -4*b + 4 + z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153.63245+333\nAnswer: 486.63245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 i when four letters picked without replacement from xxxrxxxnxxrixx.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3822 by -13.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -152 - 21?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -4 (c) -1 (d) 1.1 (e) 90\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Suppose -2*u + y + 64 = 59, 2*u = 4*y + z. Let i(h) = -h + 2. Calculate i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(-24*s + 10*s + 67*s) + (4 + 0 - 5)*(-s + 3*s + s) + 3*s + 3*s + 3 - 7*s in the form f + r*s and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223 a factor of 399644271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.025626 or -949?\nAnswer: -0.025626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/2 - 84*s**4 - 1170*s**3 - 3720*s**2 + 2976*s + 19584 = 0. What is s?\nAnswer: -6, -4, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 9:19 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*1*9*(-11)\/2178?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 60*l. Let s(j) = 5*j - 57 + 31 - 4*j + 26. What is p(s(q))?\nAnswer: 3*q**2 + 60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 22*d**2 + 2*d - 46. Let p be i(22). Let o be 34\/(1\/(12 - p)). Round o to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 7*u**2 + 8*u - 6. Let t be h(-5). Let j be (-2)\/(-4) + 21\/2. Suppose -5*k = -t*m + j, 3*k = -0*k + 3*m - 9. Solve k + 5 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 10*j + 14. Let m be l(-10). Suppose 0 = -12*x + m*x - 6. Sort -5, x, 1 in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2 - 4*g + 3. Let z be (2\/3)\/(23\/138). Let s(k) = z*k**2 - 3*k - 5 + 2 - k + 7*k. What is 3*n(o) + 4*s(o)?\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 32405326?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -532 - 291 - 792*r - 142 + 38 wrt r.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8036 + -8020. What is the nearest to 2 in 1, j, -0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 2 - 14. Suppose g - 4*t + 4 = 0, p*g + 3*g - 3*t = 14. Let v = -7 + 10. Solve 0 = -v*n, -5*n - 6 = g*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 233722.259 and -0.2?\nAnswer: 233722.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2 + 2495*h**6 - 14 + 27*h**4 + 6*h**5 - 2492*h**6 - 25*h**4 + h wrt h.\nAnswer: 360*h**3 + 360*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1 + -3)*-35. Suppose 0 = -2*i - 2*i + 100. Let y = r - i. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9212621 and 12298?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aep when three letters picked without replacement from iccacccqepqcqqe.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1196835111 from -1270.\nAnswer: -1269.8803164889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2496)*-4 - sqrt(2496)))\/(sqrt(243)\/sqrt(144) - sqrt(27))*6.\nAnswer: 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-23))\/(n\/(n\/n**(-22))) assuming n is positive.\nAnswer: n**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + (-319704)\/1760 + 53?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/16465 - 38939749\/65860. Let t = b + 1762\/3. What is the common denominator of ((-1)\/(-2))\/((-9)\/(-837)) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t - 5*t**2 + 3*t + 10*t to p + u*t + b*t**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*w - 160*w + 53*w + 73*w as o*w + g and give o.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 2. Let g(y) = -4*y - 3. Let d(p) = -4*g(p) - 5*q(p). Let u(a) = 4*a**2. What is u(d(x))?\nAnswer: 484*x**2 + 176*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47800000 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20, -4*h + 0*h - 18 = l. What is the first derivative of u**2 - 13*u**2 - l + 2 - 3 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -17 - (5 + -1 + -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/29515 and -5\/23612.\nAnswer: 118060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 29 = -2*h + 2368, 5*f = -5*h + 5980. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*d - 12 = 0, 0 = 2*c + d - 2 + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t + 0*u = u + 1831 - 1785, -4*u = 16 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmm when three letters picked without replacement from mmmmpummmmmpmmp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -26*i - 18. Let f be o(-1). Calculate the greatest common factor of f and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**4 - 3*h**2 + 8. Let d(g) = -7*g**4 - 2*g**2 + 7. Let n(r) = 3*d(r) - 2*s(r). Differentiate n(i) with respect to i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 885 - 292 - 293 - 300 + 791*c to the form k*c + i and give k.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42512.1 + -42512. What is the closest to 2\/3 in c, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/238278 and 73\/5436.\nAnswer: 1429668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**2 + 0*n**4 - 3\/20*n**5 - n + 0*n**3 + 0. Differentiate g(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+568\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 - 490*n + 773. What are the prime factors of u(-114)?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -5, -1, 2 in descending order.\nAnswer: 2, -1, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 4*b - b)*(8*b**3 - 62768*b**2 + 62768*b**2 - 11) to the form t*b + s*b**2 + x*b**4 + m + h*b**3 and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2. Suppose -5*w + 5*o = -10, -2*o = 3*w - 6*w + 5. Let f(v) = -v. Give w*f(p) + x(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1801 is divided by 89?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -581*g*i**4 + 247*g*i**2 - 2*i wrt i?\nAnswer: -13944*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 33, 21, 5, -15, -39, -67?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.258987*-17\nAnswer: -106.402779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {p: 1, q: 1, x: 1, j: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 853\/3960 - -3\/440. Let y = -1 - -2. Is y greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-221)\/17)\/13*161\/((-14)\/(-2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*y + 12 = 4, -4*d - 5*y = 20. Suppose 5*m - 18 + 3 = d. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2245*p - 1830*p + 1660 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002763082 to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 767 divided by -59.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8094 = -5*j + 128116, -j + 4 = 0. What are the prime factors of g?\nAnswer: 29, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 226708.23 months?\nAnswer: 18.8923525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6\/7, 1, -332?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35276?\nAnswer: 2, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65.51 + -2.51. Let i = 1876.0583 - 1813.0583024. Let m = b - i. What is m rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.72035 - 22.53. Let k = m - 0.19. Round k to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 4, -121, 5 in ascending order.\nAnswer: -121, -11, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + 23 + -81 - -71?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136994 is divided by 34243.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-928)\/192*(-2)\/12 and -103\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1417 - 20.7417. What is q rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/171? (a) 0.25 (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 3, g: 1, b: 4, t: 4}. What is prob of sequence vg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/7 + 92*v**4\/7 + 304*v**3\/7 - 484*v**2\/7 - 302*v\/7 + 56 = 0. Calculate v.\nAnswer: -4, -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/20 - c**4\/12 + c**3\/3 + c**2\/2 - 113*c. Suppose -2*o + 14 = 5*d, 4*d - 4 = -2*o + 4*o. Calculate y(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**3 + 2*p**3)*(p**2 + 3*p - 3*p + (2*p + 0*p - p)*(-2*p + p - p) + 4*p**2 - 41*p + 160 - 160).\nAnswer: 6*p**5 - 82*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*k**3)*(k + k - k) + 2*k - k**4 - 2*k - 4*k**4 + 4*k**4 - 10*k**4.\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.151 * 0.5.\nAnswer: 7.5755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**2 + 3*o**2)*(-o - o**3 + o) + 3*o**3 - 420 + 421 - 15*o**5 - 24*o**5.\nAnswer: -37*o**5 + 3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109725 and 14421?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49552, 49475, 49386, 49285, 49172, 49047?\n\"Answer: -6*x**2 - 59*x + 49617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwbbbbbbbwbbwbb. Give prob of picking 1 b and 2 w.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -1 - (-1 - -217). Suppose -320*m = -197*m + 44034. Let x = s - m. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o - 1. Let v(m) = -4*m**2 + 2*m + 1. Let r be 10*(-2)\/(-12) - 4\/6. What is r*v(j) - 2*i(j)?\nAnswer: -2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3)*d)\/d)\/d*d\/d**(-3)*d)**(2\/63)*(d\/d**(1\/3))**(-44)*(d*(d*d**2*d*d)\/d)\/(d\/(d\/d**(2\/19))) assuming d is positive.\nAnswer: d**(-29215\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86690801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 29\/1476759 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*v**3 + 64*v - 2257 wrt v.\nAnswer: -27*v**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -5, 2\/5, 334?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73837 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 589480 rounded to the nearest one thousand?\nAnswer: 589000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/42 - (-34)\/(-30). Let o = -0.5 + 0. Sort -6, j, o in decreasing order.\nAnswer: j, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y + 1133 - 77)*(-3*y**3 + 4*y**3 + y**3).\nAnswer: 2*y**4 + 2112*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3 + 3)*(-2 + 1 + 3) + (1 - 4 + 1)*(-v + 2*v + v) + 12*v - 5*v + v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 4*g)*(g**2 - 2*g**2 + 3*g**2) + 2*g**2 - 1281*g**3 + g**2 + 1344*g**3.\nAnswer: 65*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c. Let r(t) = -204*t + 3. What is a(r(g))?\nAnswer: 408*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -638394\/28868903 - -2\/31829. What is the common denominator of f and -37?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = 8*f - 27*f - 337. Let w(g) = g**2 + 6*g. Let v be w(-6). Which is the closest to v? (a) f (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24131674 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 >= -861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283872293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:18 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(720) + 1)*-5 + 5)*1)**2.\nAnswer: 3600*sqrt(5) + 72225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06039442 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.645 - -3.645. Let l = 40 + -58. Let z = r - l. What is the third smallest value in 0.5, z, -1.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = 1085 - 2088. Let q = 335 + 90. Calculate the highest common divisor of q and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 - -171. Suppose -4*c = -a + p*a + 4, 0 = 2*a - 5*c + 2. Is a bigger than 1\/463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 18894816*z**2 + 37789629*z + 18894814.\nAnswer: (z + 1)**2*(z + 18894814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)*1*3)*2)\/(sqrt(63)*-1*-1 + sqrt(6300)*1).\nAnswer: -10*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.2 (c) 0.068 (d) 6964\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let g(j) be the second derivative of 9*j**7\/70 - 13*j**4\/12 + 2*j**3\/3 + 96*j + 2. Let t(u) be the third derivative of g(u). Determine r(t(m)).\nAnswer: 648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2416*t**6 - 5*t**2 + 2*t + 74 wrt t?\nAnswer: -289920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.251043 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*k + 5*l, -2*k + 9 = -3*l - 2*l. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 7663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vvvvvfrrvvvvvrvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -1\/2 (c) 4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717030 divided by -7?\nAnswer: -245290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229674 and 3434?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**2 - 983*m + 983*m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9720\/6687532)\/5*-8. Let o = a + 10\/7611. Let l = 19549\/1318 - o. What is the common denominator of l and 49\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 71357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 456, 1034, 1854, 2922, 4244?\nAnswer: 5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021773 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 14. Solve -3 = -z - d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-4)\/5 + 232\/40. Is (-366106)\/39*12\/(-16)*t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701897 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31774409 and 11.\nAnswer: 349518499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a hour in seconds?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 1 + 0 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -36*g - 21. Let r(t) = -7*t - 4. Suppose 0 = v - 9 - 12. Calculate v*r(s) - 4*j(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.1 (c) 2 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101011010011000 (base 2) in base 8?\nAnswer: 253230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqfbqbqbfqgqqgqqfq. Give prob of picking 2 q.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.145 and 0.49.\nAnswer: -0.07105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1 - (1 + -1). Let i(b) = -4*b. Let m be i(n). Suppose 5*k - 40 = -2*u, 0*u = 2*u - 4*k - 4. Calculate the highest common factor of u and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 131*i - 24. Let b(h) = -44*h + 9. Let x(s) = 8*b(s) + 3*y(s). Suppose -4*u + 14 = 10. Determine x(u).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -49 + 21. Calculate the lowest common multiple of o and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/188703284 and -81\/107960?\nAnswer: 1887032840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -4 + 5)*2*2 + -5.\nAnswer: -1 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + 4*(sqrt(228) - (1*sqrt(228) + sqrt(228))) + sqrt(228))\/sqrt(12)*-6 + 3.\nAnswer: 3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -222768*b + 1820. Let o(c) = 367*c - 3. Determine -6*i(l) - 3640*o(l).\nAnswer: 728*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -24*v**2 - 290*v - 17. Let u be j(-12). Solve u*l + 7 = -14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18938993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v - 8. Let t be k(6). Let c(p) = -21*p - 9. Let m be c(-4). Let u = m - t. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 2*q + 56 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*s**4 - 6*s**4 + 2*s**4) + 2*s**4 - s**2 + s**2.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 11)*(-5*q + q + q) + (2 - 3 + 2)*(-2*q + 3*q + q + (0*q - q - 4*q)*(0 + 2 - 1)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 2. Determine c(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -304610*w - 3959936. What is o(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**3 + 4*d**3 - 6*d**3)*(1 + 1 + 1)*(-2 - 4 + 2).\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2657627, 4, -0.23 in increasing order.\nAnswer: -2657627, -0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938463?\nAnswer: 3, 31, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -20, -16, -12, -8?\n\"Answer: 4*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 999\/(-111)*43*(-5)\/45.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/11 (b) 0.3 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1209020744 times 0.5\nAnswer: -604510372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (215*l**2 + 54*l**4 - 215*l**2)*(0 - 3 + 5) to the form w + q*l + k*l**4 + h*l**3 + y*l**2 and give k.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 141*m + 137*m + 35, 35 = -5*l + 2*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -392. Calculate the remainder when g is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k**2 - 2\/3*k**3 + 0*k + 1\/1260*k**6 + 0*k**5 + 0*k**4 + 5. Let m(l) be the third derivative of j(l). Factor m(s).\nAnswer: 2*s**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 4*n**2 - 2*n**2 + (4*n - 3*n - 2*n)*(6*n - 5*n - 2*n) + (15*n + 8*n + 0*n)*(0*n + 0*n + 5*n) - 23 + 8*n**2 + 23 as v*n + f*n**2 + q and give f.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/11*(1344\/18)\/(-16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + 43\/(-21)*-1 and 5\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f. Suppose -n + 0*n - 1 = 0. What is c(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.07, 3, -116, -10?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 + 0.006. Round i to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 1. Let a(s) = -1. Let x(y) = 5*a(y) - 4*t(y). Let k be x(-1). Solve -w = -k + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55870, 55860, 55828, 55762, 55650, 55480?\n\"Answer: -2*w**3 + w**2 + w + 55870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + (0 + sqrt(99) - sqrt(99)) - 3*(sqrt(99) + 1)))**2 + (sqrt(99) - ((-1 + sqrt(99) - sqrt(99)) + -4 - sqrt(99)) - sqrt(99))*6 + -3.\nAnswer: 90*sqrt(11) + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and 482.396.\nAnswer: 506.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3302924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3\/5 (b) 1 (c) -4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 7. Let w be d(-5). Let n be (36\/10)\/(10\/75). Let i = 131\/5 - n. Which is the third smallest value? (a) -0.2 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -284325145 and -15.\nAnswer: -284325160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 11 = -41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17.2 in -2.4, 19, -4, -1.2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87, -302, -517, -732?\n\"Answer: -215*f + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u = -5*u - 8*u - 113490. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4\/5 (b) 1\/32 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1176 * -314154.\nAnswer: 369445104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510906.\nAnswer: 2, 3, 11, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48910*v**3*z**4 + 346*v**3*z**3 + 2*v**3*z - 2116*v**3 - 2*v**2*z + 80*v*z - 2*v + 3 wrt z.\nAnswer: 586920*v**3*z**2 + 2076*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 1280?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = 0, -q - r + 16 = 6. Suppose 39 = 9*x - 5*x - h, 15 = 2*x + h. Suppose -q = 16*f - x*f. Let o(v) = 16*v**2 + v + 1. Give o(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6463 and 2461.\nAnswer: 691541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 3*c**2 + 3*c - 1. Let l be o(-4). Solve 0 = l*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*l**4 - 6*l**3 + l + 202 wrt l.\nAnswer: -648*l**2 - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 7982*h - 7987*h + 15969*h.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50\/51 - -6\/17. Let n(j) = j**3 - 70*j**2 + 15*j - 1045. Let a be n(70). What is the closest to -0.8 in a, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnllhhlglnnnh. Give prob of picking 3 l and 1 g.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 370 + 263 + 261 = 0. Sort -18, n, 9 in decreasing order.\nAnswer: n, 9, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - -9. What is the remainder when z is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -311?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (7 + -14 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let k be a(-7). Let p(q) = -q**2 + 5*q + 2. Let r be p(k). Let n(v) = v**3 + 3*v**2 - 3*v + 4. What is n(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4515804*a**2*y + 693*y + 366 with respect to a.\nAnswer: 9031608*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31561?\nAnswer: 37, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17062 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y + 50. Let f(j) = 10*j**2 - 61*j - 1. Let g be f(6). Determine b(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57317 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.4. Let n = -22.95 + 22. Let j = n - 0.05. Which is the second smallest value? (a) j (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5219*z + 3500 = 5044*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i + 0*i)*(-3*i + 5*i + 3*i) - 491 + 491 - 9*i**2 in the form x*i + b*i**2 + w and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10016 - 5227. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 23. Let o be z(7). Is 4 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*x. Suppose -x*l + 0*l = -24. What is the highest common divisor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, a: 2, k: 5}. Give prob of sequence kdaa.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let j be p(-5). Suppose -3*h - y = 2*h - 11, 2*h + 3*y = j. Solve -z - 3 - h = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 10 - 6)*(-1 + 3 - 3)*((-o + 2*o + 0*o)*(2 - 4 + 1) + (-o + 0*o - o)*(4 + 0 - 2)) to the form j*o + z and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160034 and 994?\nAnswer: 160034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 20*z - 22 = 0. Suppose -10 = z*g - 2*a, -4*a + 8 = 3*g - 12. Factor -2\/7*i**5 + 0*i**3 + 0*i**2 + 0 + g*i - 2\/7*i**4.\nAnswer: -2*i**4*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-1120))\/(1\/(-8))*15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29084?\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 31*b**2 - 24*b + 235. Give n(-32).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 - 40*b**2 - 28*b**2 + 164*b**2 - 42*b**2.\nAnswer: 37*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12*-1*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 - -132) + (6 - (0 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5\/6, 22, 119, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1715633?\nAnswer: -1\/1715633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.26256 milliseconds in seconds?\nAnswer: 0.06526256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 - (-48 + (81 - 99)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2 - 83*q + 19569. What is the ten thousands digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -242\/85 - -16\/5. Let j = 6\/27053 + 2028567\/1839604. Let s = j - y. Which is the closest to -1\/4? (a) s (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/10*(1 - 10\/25) and (2\/(-3))\/(2\/44).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1040 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5071*m**2 + 20564*m + 1122. Give v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - 4. Let t = q - -21. Let y be t + 1 + (-6)\/2. Sort 1\/4, 8, y.\nAnswer: y, 1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 1\/3, -2\/9, -36, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.1. Let y(q) = -q + 2. Let d be y(4). Let j be 1 - (-3)\/9*d. What is the nearest to -1 in w, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvkkvvkvv. What is prob of picking 2 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -316084650 plus 0.00864?\nAnswer: -316084649.99136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -30, 3*t = -17*w + 19*w + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4632, -4619, -4590, -4539, -4460, -4347?\nAnswer: -4194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 124*l**2 - 1049*l + 9. What is r(-12)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-2\/163)\/((u\/((u**8*u)\/u))\/(u*u**3)) assuming u is positive.\nAnswer: u**(1795\/163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1276*w - 7809*w + 758*w.\nAnswer: -8327*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 373425 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 91833468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.008? (a) -3 (b) -0.4 (c) 3 (d) 17 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 32 (b) -4\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*b + 12*b + 8*b + (3*b + 0*b - b)*(-2 - 4 + 1).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 + 718. Let c = 4147\/9 - y. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50382001 and 0.5?\nAnswer: 50382000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/15 + (-4)\/(-6). Suppose -5*s = 5*f - 155, 4*s - 88 = 6*f - f. Let v = -29 + s. Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0561 + -0.3561. What is the second biggest value in c, -2\/17, -2\/31?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184971469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**5 + 0 + 0*q**2 + 19\/30*q**6 + 4*q + 13\/12*q**4 + 0*q**3. Find the third derivative of u(m) wrt m.\nAnswer: 456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15384 and 3088338?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 34 = 4*o - 2*w, 0 = -4*o + 5*w + 41. Suppose -2*t + 5*g + 10 = -32, g + 128 = 5*t. What is the remainder when t is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*j - 1. Let u be 2*(-17)\/60 + j\/(-5). Which is the biggest value? (a) -3 (b) -2\/29 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from mummummummmmumuumm.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose r = 2*n - 0*n - 4*b - 26, 4*b + 17 = -n. Suppose 3*v = 5*v - w - 13, n*w + 4 = v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377425 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 29249368 and 29249368 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 2*v**2 - 6. Let b(w) = 202829*w**3 + 221268*w**2 - 663804. What is b(q) - 110634*s(q)?\nAnswer: -18439*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*r - 10, 5 = -35*r + 34*r - 4*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 + s + 2. Let n be w(5). Suppose -3*j - 2*o + 85 = 2*o, -4*j - 2*o = -100. What is the highest common divisor of j and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*d**3 + d - d**4 + 8*d**3 - 2 + 3*d**3 as f*d + u*d**3 + r*d**4 + q + j*d**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*h + 5*n, 8 = 5*h - 5*n + 68. List the prime factors of h\/(-4)*18\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) + sqrt(117)*2 + sqrt(117)) + (sqrt(117) + 2*sqrt(117))*-1)**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 + 328. Suppose q = 2*q - 130. Calculate the remainder when q is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 83, 59, 4 in ascending order.\nAnswer: 4, 48, 59, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 329357 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6858 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t**15)\/(t\/t**(-5\/3))**(-35\/3) assuming t is positive.\nAnswer: t**(109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-4\/15)*n**(-27)*n assuming n is positive.\nAnswer: n**(-379\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2 = 0, 2*k + 206 = 4*y - 3*y + 210 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4 + 1)*(-25)\/700*-4.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4037860 is divided by 201878.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47745292 divided by -8.\nAnswer: -11936323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 2*p - 8 + 1 - 8*p. Let s(k) be the third derivative of -k**5\/20 + 5*k**4\/24 + 7*k**3\/6 - k**2. Let y(z) = -2*d(z) - 3*s(z). Calculate y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12558, -100492, -339170, -803964, -1570246, -2713388?\nAnswer: -4308762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*a - 2*s - 17, -2*s - 27 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48757 + 93*g + 97748 - 48991.\nAnswer: 93*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 - 6*y**3 - 181*y**2 + 471038*y?\nAnswer: 40*y**3 - 36*y - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -335 (b) -1 (c) -1463 (d) -2 (e) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/7 - 18407808*m\/7 - 73631216\/7.\nAnswer: -(m + 4)*(m + 18407804)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3\/d**(-9\/4)*(d**(1\/2))**37 assuming d is positive.\nAnswer: d**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*a - 26 = -3*a, -5*g - 5*a + 30 = 0. Let l(z) = -64 + 32 - g*z + 32. Let w(v) = -8*v**2 + 0*v**2 + 41*v**2. Determine l(w(b)).\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 29 = 5*k, -v = v - k + 1. Solve 0*m - 12 = -v*m - 3*g, -1 = -m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = w. Suppose y - 3*j = 17, -4*j = -1 - w. Calculate the highest common factor of 145 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*x - 68 = 0, h + 5*x + 37 = 3*h. Suppose 0*i = 3*i. Suppose i = f + 3*f - 160. Calculate the remainder when f is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 5*s + 4*s)*(s + 2*s - 4*s)*(30 - 12*s**2 - 30)*(-3 - 1 + 2).\nAnswer: -48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 809 or 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3996?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -5)\/((-2)\/(-4)). Suppose j - 4*h = 60, 177 = 4*j + m*h + h. 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: What is 0 divided by -28070?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -605 divided by -5\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -494755.\nAnswer: -3\/494755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/4 + 903*b + 47463\/4 = 0.\nAnswer: -13, 1217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 138 = -a, -5*f - 69 = 4*a - 247. Suppose 8*q = 3*q + t + 43, -6 = -3*t. What is the remainder when f is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/360 - 7*h**4\/24 - 15*h**2. Let y(n) be the second derivative of o(n). Let f(b) = 14*b**2. Determine y(f(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*h**2 - 543*h**2 - 548*h**2 + 1633*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b + 23701 = -613*b - 335*b - 15659 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -3, -15, -31, -51?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5 - 3*t**3 - t**2 + t + 3 + 4*t**3. Let s(r) = -r**3 - r**2. Let o be s(0). What is the units digit of x(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-21) - 33\/(-42))*0. Let q(b) be the third derivative of -b**2 + 0*b - 7\/60*b**5 + 0 + p*b**4 + 1\/6*b**3. Find the first derivative of q(z) wrt z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092 is divided by -1 - (-78 - -8*1\/2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 362107\nAnswer: 1810535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28973 - 10*12\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -92*k + 140. What is the hundreds digit of q(-49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 17 = -5*y, 0*h + 9 = 3*y + 3*h. Let p be (-7 + y + 0)\/(-2). What is the third derivative of -3*m**p - 2*m**2 + 0*m**4 - m**4 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-21 - -2) - (1 - 0) - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i - 46*i - 3*m - 17882 = 0, 2*i + 3*m - 8968 = 0. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1420 - -1420.6. Which is greater: -20 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 5*v - 8. Determine b(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*((-559)\/(-65) - (1 + 2)). Let p = w - 14. Let l(h) = 8*h + 8. Let f(z) = -3*z - 3. Calculate p*f(o) + 5*l(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 671, 701, 739, 785, 839, 901?\n\"Answer: 4*x**2 + 18*x + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 31*f - 5. Let l(b) = 30*b - 4. What is 4*g(i) - 5*l(i)?\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 16*q - 321 = 19*q, x = 4*q + 122. Suppose -u + h = -0*u - 81, -327 = -4*u + 5*h. Let m = u - 51. What is the remainder when x is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3736 + 24243. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/39 and -36\/8281.\nAnswer: 24843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 8*j - 12. Give l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 395880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4991*w**2. Let z(h) = 10*h + 9*h + h - 32*h + 13*h. What is z(f(r))?\nAnswer: 4991*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 + 3. Let o be j(0). Suppose 0 = -3*q - 2*c + 56, 0 = -3*q + o*c + 47 + 34. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19\/120 + 2863\/360. Let t = 3041677\/84 - 36211. Let i = 9\/28 + t. Find the common denominator of i and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2673055 by 2915.\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*p**5 - 6*p**3 - 15607*p**2 + 174332122*p wrt p.\nAnswer: -2860*p**3 - 36*p - 31214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -49*q + 31. Calculate p(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -21. Let q = p - 14. Let h(t) = 3*t**3 + t**2 - 3*t - 9. Let s(r) = -r**3 + r**2. Let a(x) = q*s(x) - h(x). Factor a(j).\nAnswer: (j - 3)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f**4 + 8*f**3 - 297*f**2 - 3. Let l(h) = h**3 + h**2 + 1. Let i(k) = j(k) + 3*l(k). What is the third derivative of i(d) wrt d?\nAnswer: 288*d + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -771\/940?\nAnswer: -771\/940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 - 2*o**3 - 9*o + 3*o**3 + 2*o**4 + 102 to the form l + v*o**2 + a*o**4 + m*o + b*o**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4227?\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 13*p - 14 + (3 - 1 - 1)*(-15*p + 3*p + 2*p))*(p**2 + p**2 - 4*p**2)*(-p**2 + 4*p - 4*p).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 1, j: 1, v: 1, i: 1, x: 2}. What is prob of sequence iev?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2020 and 107\/3838.\nAnswer: 38380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355824.\nAnswer: 2, 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 1 = 4*c - 5*d, -c - 4*d + 26 = 0. Let j(r) = 13*r + c*r - 25*r + 20*r. Let s(y) be the second derivative of y**3\/3 - 3*y. Give j(s(l)).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i + i + 197*i + 203*i as n + v*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 871834?\nAnswer: 3487336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + (1 - 21) - (76 + -3)) + -4 - -2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -19 - 21*n + 34 + 31 - 3*n. What is c(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7*u - 29. Let m be v(10). Is 56*-3*m\/(-4)*17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2784679 or 0?\nAnswer: 2\/2784679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 4 + 7 - 2*l + 16 in the form h + s*l and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 74*j + 16 = -q + 75*j, -29 = -q + 9*j + 9 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**5\/60 - f**2\/2 - 1. Let k(m) be the second derivative of y(m). Let w(b) = -3*b. What is k(w(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/17*3\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 5*2*(sqrt(637) + 1).\nAnswer: 16 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 20. Let h(z) = 1 + 2*z + 0 - d*z. Suppose 5*q = -2*x - 15, -q - 2*q - 3*x - 18 = 0. Give h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4\/4 + 2002075*b**3\/4 + 133615815585*b**2\/2 + 2972951800337065*b + 50520875579322290 = 0.\nAnswer: -133466, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h - 923 = 1668 + 251 + 4886 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*w - 29, 2*d - w + 3*w = 12. Is -1\/13 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(90)*2)\/(sqrt(99)\/(sqrt(33)\/sqrt(3)) - sqrt(729)*-2).\nAnswer: 2*sqrt(2)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11664311479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-9))\/1 - (-4)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 37 = 5*j - 3*n, 2*j - 19 = -3*n. Suppose 3*z - 14 + j = 0. Solve 12 = z*q - v, -4*v - 12 = -q - 2*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {v: 1, j: 1, x: 2, t: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*h + 395784 = -128*h. List the prime factors of h.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -43. Let m(p) = -p**3 - 2*p**2 - p + 2. Let k be m(-2). Suppose -5 = 4*w - k*u + 3, 0 = 4*u - 16. Put 18, q, -3, w in increasing order.\nAnswer: -3, q, w, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110 (base 2) in base 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(1\/50*350\/280)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(96)*-2) + sqrt(171)\/(-4*sqrt(81)\/sqrt(9) - sqrt(9)).\nAnswer: -13*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 144 + -19 + -3 + 4\/(-2). Calculate the highest common divisor of h and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -275856300 to the nearest one hundred thousand.\nAnswer: -275900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -9, 397 in decreasing order.\nAnswer: 397, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3107*q. Let p(b) = -17*b**2 + 88*b + 1. Determine i(p(k)).\nAnswer: -52819*k**2 + 273416*k + 3107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Suppose g = 3*a - 20 + 107. Let y = -21 - a. Calculate the remainder when 15 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 0.4 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = -17*s - 192 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72322399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -369, -491, -569, -603, -593, -539?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1\/4, -4, -132?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2686 and 428101.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/14092 and 5\/84552.\nAnswer: 84552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 219.\nAnswer: 27156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let c = 41 - 29. Suppose -c = -2*u - m*u. What is the smallest common multiple of 1 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*s + 8*s. Suppose 0*k - 4*k = s*z - 11, 4*z + k = 0. Let h(j) = 11*j**2 - 1. Is h(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.77484.\nAnswer: 6.19872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 13*z**3\/3 - 11*z**2\/2 + z + 24. Find the second derivative of l(b) wrt b.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 25 = -5*f, 5*f - 10 = p - 0. Let u be 3\/(-3)*(f - 6). Suppose u*w = -w + 528. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -95*y - 101. Let o be (-33)\/4 + 21\/(-28). What is the hundreds digit of w(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6639a6 (base 11) in base 6?\nAnswer: -34412222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 6*f**3 - 182*f + 43*f + 41*f - 52 + 9*f**2 + 98*f.\nAnswer: -6*f**3 - 3*f**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n + 11. Let l(q) = -17*q + 21. Let u(c) = -11*b(c) + 6*l(c). Let y = -5077 + 5071. Give u(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35135859.\nAnswer: 3, 11, 43, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 11 + 5, w = -5*y + 46. Suppose -3*f = -8*f + y. Suppose x - f*l + 3 = 0, 0 = -2*l + 5*l - 12. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 675 + -1193. What is the tens digit of (-4160)\/(-14) + 74\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - g)*(2*g**3 - 2*g + 2*g)*((3 - 2 + 0)*(2*g + 0*g + 0*g) + 0*g + 0*g + 2*g - 73 - 12*g + 73).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 115 = 64*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955554865?\nAnswer: 5, 1549, 123377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -1\/4, -2, 1\/22, 0.4, -0.04, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 28 = -2*w - 4*n, 5*w = -n + 34. Let k = -8 + 12. Suppose -3*d = 2*g - 60, 84 = 4*d + k*g - 0*g. Calculate the highest common divisor of w and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:58 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80325982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(700))*4)**2.\nAnswer: -640*sqrt(7) + 11260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*sqrt(384))\/((sqrt(32) - 2*sqrt(32))\/sqrt(4)) + 3)**2.\nAnswer: -576*sqrt(3) + 27657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201735 is divided by 216.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177780 is divided by 861?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**7\/105 + 8*z**6\/75 - 21*z**5\/50 + 7*z**4\/15 + 4*z**3\/3 - 24*z**2\/5 + 10085*z. Find k, given that r(k) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*a + a. Let w = -2 + a. Solve -w*t - 10 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -474 + 147. Let i = d + 271. Suppose 5*u = 3*u - 4*g - 2, 3*u + 3 = 2*g. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 + -151. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 + 15*i + 17. Let d be a(-8). Let j = 48 - d. What is the remainder when 64 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgmwwvm. What is prob of sequence vmw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -2)*(-6)\/(-12). Solve 2 = 2*g - 4*l, x*l + 25 = -2*g - 5*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 1 j when three letters picked without replacement from yyvvyyvvyvivuvij?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**4 + 0*c**4 + 0*c**4)*(-1 + 4 + 0)*(7 + 2 + 1)*(2 - 6 + 3) in the form l*c**4 + u*c**3 + n + b*c**2 + q*c and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17820 + -17820.7. Which is smaller: 1.62 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70917, -284718, -641053, -1139922, -1781325, -2565262, -3491733?\n\"Answer: -71267*b**2 + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c + 77*c - 13*c - 15*c - 10*c - 18*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (68\/8)\/(3\/36 - 0)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1412 = 68. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 0*x + 4*x + 2*x**2 + 1. Let y be c(1). Let h be 0 - ((-6)\/5)\/(-2). What is the third smallest value in y, h, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 5*q - q)*(38*q**3 + q**3 + 34211 - 34210) to g*q**4 + y*q**2 + s*q + u + z*q**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 723375 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-5) - 158\/(-38). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((12\/20)\/1)\/1. Let q = 584.1 + -584. Which is the third smallest value? (a) q (b) 2\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133230 (base 4) to base 15\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 2*r, -r - 3*r + 32 = 4*n. Suppose 5*a = o + 117, 3*o + 126 = 5*a + r*o. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48.2 * 0.216\nAnswer: -10.4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*b + 75*b - 21104 = 0. Which is smaller: 1317 or b?\nAnswer: 1317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 1, 5*b - 11*c + 8*c - 3 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -5*r - 3*i + 855, -5*r = -2*i - 624. What is the remainder when (-5 - -1)*r\/(-8) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - t**2 + 6*t**2)*((3 + 0 + 0)*(-1 + 1 - 1) + 1 - 5 + 2 - 2 - 1 + 6 + (-1 + 4 - 1)*(3 - 1 + 0)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166212 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - p**2 + 0*p**2)*(0 - 3 + 5)*(p + 0*p + 0*p + 3*p + 0*p - 5*p + (-6*p + 0*p + 4*p)*(-1 + 2 - 3)).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3573742 + -2579\nAnswer: 3571163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027857745 * 5.\nAnswer: -0.139288725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 719605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + f**2 - 30 + 16 + f**2 to the form r*f**2 + q + t*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Suppose -3*m + z + z = -22, 4*z = m - o. Suppose -3*x = -7*x + m. Calculate the lowest common multiple of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/256472 and 37\/160295.\nAnswer: 1282360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29561 + 29542. Let c = -3 - -3.3. What is the nearest to u in 0.2, 2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 16*a - 38*a = 10*p - 52, -60 = 12*a + 3*p for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39067823.\nAnswer: 23, 617, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 2*t**3 - 2*t**3)*(160*t**2 + 2585 - 2585).\nAnswer: -320*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -45. Is c + 3 + 190 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 2*c. Let t(u) = u**2 + 3*u + 1. Let p(i) = 6*t(i) - 5*z(i). Let a(k) = -5*k**2 + 14*k - 2. Let h = -41 - -44. Let l be a(h). Calculate p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18 + 50*w - 9 - 10 - 56*w. Let d be (2\/(-3))\/(1\/3). Determine i(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 519 + -515. Put -2, -3, x in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387526 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498117?\nAnswer: 3, 17, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100045466 rounded to the nearest 1000000?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 7*k - 5. Let j(m) = m**3 + 7*m**2 + 6*m - 4. Determine 5*j(z) - 4*y(z).\nAnswer: z**3 + 7*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 331*w - 995. Let f be l(-3). Solve -f*b + 22 = 15*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/((-2)\/(-132)). Let s(u) = -41*u + 61. Let d be s(-3). Let z = n + d. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188690 * 1.\nAnswer: 188690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28396)\/(-35)*150\/20. Let l = -6101 + p. Let u = l + 111\/7. Which is greater: -3\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-484*a - 134005 + 134005)*(-a**3 + 0*a**3 + 0*a**3) + a**4 - 3*a**4 + 4*a**4.\nAnswer: 486*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2888 and -102.\nAnswer: 29.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 - 2*z**2 + 3*z**2)*(3 - z - 3)*(z - z + 6*z) in the form q + l*z**3 + x*z + w*z**2 + j*z**4 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m + l + 7 = 0, 0 = 3*l + 3. Let q(f) = -f**3 - 2*f**2 - 2*f - 1. Let g be q(m). Let c = g - 10. Solve 0 = 5*w, -2*w + 21 - 1 = -c*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 16*m**2 + 20*m - 51. Let u be r(17). Which is smaller: u or -1\/14839?\nAnswer: -1\/14839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139.184 + -139. Let n = 0.684 - y. Suppose 0 = -3*h - 2 + 44. What is the nearest to 1\/2 in n, h, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205303 or -205305?\nAnswer: -205305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 - 9*x - 11. Give t(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/7)*f**8*(f\/f**(-1\/3))**(-4\/21) assuming f is positive.\nAnswer: f**(470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -46. Differentiate 0 - 13*p + 16 - 2 - d*p wrt p.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.72 + -2.72. Let j = 9.4 - 12.4. Which is the closest to 1? (a) 0 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 20899795.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:02 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 33, 4, 16 in increasing order.\nAnswer: 3, 4, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 6*c**2 + c + 9. Let h = 21 - 14. Is o(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuyyuuruuyuuyruru. What is prob of sequence uuur?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 - (-14)\/(-28)*28. Solve 25 = k*f + 4*f - 5*v, -2*f + 20 = -4*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901992427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0244127538 rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - k**2 + 3 + (13*k - 14*k - 13*k)*(-k + k - 2*k))*(-k**2 - 2*k + 2*k + (2*k - 3*k + 0*k)*(-2*k + 2 - 2)).\nAnswer: 27*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/7, -5, -10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 388442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28\/(-24))\/((-672)\/720))\/(1\/16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4*o**2*q + 2*i**4 + 2*i*q + o**2*q + 109*o*q wrt i.\nAnswer: -4*i**3*o**2*q + 8*i**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (1 - -3))\/(-1). Let v = -72 - -22. Let u be 5\/(v\/8)*t. Let n(y) = -y**2 + y + 4. What is n(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -r - 6, 2*r - 5 = -2*x - 3*r. What is the smallest common multiple of x and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let a be -3*p*(-20)\/24. Suppose 2*w = 3*w. Solve -a = -w*r - 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(47 - 2) - 30\/(-27). Is 2\/515 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 30*b - 18. Let o be x(-8). Suppose 3*y - 8 = 1. Sort o, y, 4 in descending order.\nAnswer: 4, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(sqrt(34)*3)\/sqrt(2))**2.\nAnswer: 90*sqrt(17) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1489\/2446 or -2?\nAnswer: -1489\/2446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-25))\/((-10)\/(-25)*-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m - 37*m + 6160 = 264*m - 2778 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 81\/12 - (1 + 4\/(-16)). Suppose -3070 = -p*y + 4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 3*q. Let g(v) be the first derivative of -v**3\/3 + 55. Calculate g(d(p)).\nAnswer: -16*p**4 + 24*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/24*-6*(-4)\/(-9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4704\/948 - (0 - -1) - ((-156)\/13 + 16)?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19094*h**3*t + 893*h**3 - 26540236*t wrt h.\nAnswer: -57282*h**2*t + 2679*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*w - v - 2, -2*w = 5*v - 12. Suppose -50 = l - w*l. Solve 4*t + l - 4 = o, -3*t - 5*o = -7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21202 + 1.26?\nAnswer: 21203.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235340130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 0. Suppose q - n*q = 0. Solve 3*c - 3 + 0 = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250.332 + 267.6. Let s = -17.3 + r. Round s to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12897870*p**5 - 6445853*p wrt p?\nAnswer: -257957400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98048*k**4 + 101*k**3 - 10290*k + 2109 wrt k.\nAnswer: 1176576*k**2 + 606*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 37*v - 3631. Give m(92).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 1687660?\nAnswer: 8438300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8114462 is divided by 904.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:12 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -8*u + 3*u. Suppose 4*d + 11 = 3*i, -4 = -5*i + 2*d + u. Solve -5*z - 4*b + i = 0, -3*z - 4 = -0*z + b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 673354?\nAnswer: -336677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4939, -9878, -14815, -19750?\n\"Answer: w**2 - 4942*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*v = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 15) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*b + 5 + 1, -4*b - d = -7. Is b >= -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*(-6)\/(-9))\/((-8)\/(-24)). Solve 0 = 3*t - h*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*q**2 - 22*q**2 + 3*q**2 + 3*q - 105*q**2 + 0*q.\nAnswer: -74*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 4*a - 172. Let b(k) = -7 - 3*k + 2 - 3 + 6. Let m be b(-6). Calculate the greatest common factor of a and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 5*b**2 + 7*b - 4. Let l be m(6). Let y(t) = -33*t - 193. Let s be y(-6). Suppose l*j = s*j - 7635. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 7, -0.5, 22, -2\/3, -11, -2\/35?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(5))**2 - sqrt(5)*2*-1) + -5.\nAnswer: 19 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/337738 and 97\/16.\nAnswer: 2701904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1 - (1 + 2). Let r be 38\/(-34) + d - -2. Suppose -h = -4*h + 15. What is the biggest value in r, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 139. What is the tens digit of 4303\/u + 0 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = 6*g. Let k be 2 - ((15 - -1) + (3 - g)). What is the tens digit of (-158)\/k*2 - 9\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7552872998 and -0.29093.\nAnswer: 7552872997.70907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 464*u - 930. Let c be y(2). Let s(z) = -14*z. Let w(h) = 69*h + 1. What is c*w(k) - 11*s(k)?\nAnswer: 16*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*p + 112*p - 137*p = -166. Solve 4*k - t + 4 = p, 15 = -3*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((216\/6)\/(-4))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q + 2*q**4 + (2*q - q + 0*q)*(-q**3 - q**3 + 4*q**3))*(-1 + 1 - 6) to the form h*q + f + o*q**4 + p*q**3 + b*q**2 and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 8:50 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - 71*y - 220. Calculate the remainder when 78 is divided by i(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose u = 0, 3*h + 5*u = l*u + 6. Let r be 3\/(-5) + h\/(-5). Let x(o) = -5*o**2 - 1. What is x(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14960008.8 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-960)\/(-114))\/5 + -2. Which is the nearest to -1? (a) g (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13532 (base 6) in base 13?\nAnswer: c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.98756 tonnes to nanograms.\nAnswer: 91987560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -137b + -1?\nAnswer: -137c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 28*w**4 + 6*w**3 + 24*w**2. Let c(k) = -28*k**4 - 7*k**3 - 25*k**2. Let z(v) = -6*c(v) - 7*l(v). What is the third derivative of z(p) wrt p?\nAnswer: -672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 1. Let u(i) = i**2 - 3*i - 5. Let b be u(5). Suppose -4*d + 9*d = b. What is the units digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - q + 1. Let l(r) = 2*r**3 - 2*r**2 + 12*r - 2. Calculate 12*g(u) + l(u).\nAnswer: 2*u**3 + 34*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = c. Let x = c + 4. Which is smaller: x or 2\/27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5.1. Let w be ((-10)\/22)\/((-14)\/154 + 0). Which is the closest to 2\/9? (a) k (b) w (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*z**5\/2 - 236865*z**4\/2 + 931929*z**3\/2 + 270225*z**2\/2 - 466176*z - 16680 = 0. Calculate z.\nAnswer: -1, -5\/141, 1, 4, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25378164727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u + u)*(-1144*u + 336*u - 872*u) to the form d*u**2 + b*u + m and give d.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 + 514818*z**2 - 33132013200*z + 298146420000 = 0.\nAnswer: 9, 128700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 9*w**6\/40 + w**5\/10 + 15*w**2. What is the third derivative of i(l) wrt l?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 233.964 milligrams?\nAnswer: 233964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -213*(3 + 3 + -7) - 2. Suppose 0 = 3*m - s + 211. Let p = 2 - 6. Sort m, -1, p.\nAnswer: p, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -288, -286, -284?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12804 = 206*r - 1204. What is the remainder when 473 is divided by r?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-448)\/32 + 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3632 - 0.0368. Sort 5\/4, n, 4\/5, 1 in descending order.\nAnswer: 5\/4, 1, 4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5479*f + 5567*f - 11056*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -6*k + 2*k + 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13360283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38971 or -64\/25?\nAnswer: -64\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {o: 2, r: 1, n: 1, u: 5, t: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 58 + 112 = 0. Suppose 0 = m*y + 92 + 10. Let a(r) = r**2 + 8*r + 5. Determine a(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 33 = 5*f, -31*s + 29*s - 5*f + 17 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 + 25*r**2 + 3*r**2 - 14*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -3\/8*s**4 + 0 - 1\/40*s**6 + 8*s + 1\/2*s**3 + 13\/2*s**2 + 3\/20*s**5. Let g(l) be the first derivative of q(l). Factor g(v).\nAnswer: -3*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 - -192. Let i = -0.7 - -0.7. Which is the closest to i? (a) -2\/11 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 1030964.\nAnswer: 4123856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 28*s - 19. Is 14 a factor of t(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 4) to base 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1580, -70, 1, -5 in increasing order.\nAnswer: -70, -5, -2, 0, 1, 1580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -11, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o + 12*o + (-o - 2 + 2)*(2 - 6 + 2) - 3 + 3 - o)*(6 - 3 - 4 + (6 - 2 - 2)*(-1 - 4 + 3)).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = -3*u, 5*f + 4*u + 23 = 5*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 5 - 13 - 17. Suppose -428*m = -96*m + 3320. What is h(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqhu when four letters picked without replacement from {q: 2, u: 1, h: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3737 divide 67635963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 8*o**2 + 5*o - 1. Calculate i(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58914234 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 3*k**2 - 2 - 3366*k - 1505*k + 0.\nAnswer: -3*k**2 - 4871*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmlblbillllmw. Give prob of picking 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81c + -528?\nAnswer: -d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17\/51)\/(1\/570)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6 - 3*r + 15 - 4*r + r**2. Let v be w(6). Let b(c) = c**3 + 6*c**2 + 5*c + 5. Let y be b(-5). Sort y, -4, v in decreasing order.\nAnswer: y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*n + 421696 = -146*n. List the prime factors of n.\nAnswer: 2, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = -25. Let t = k + 78. Is (-6)\/(-3)*t\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/425, -11, 8\/9 in ascending order.\nAnswer: -11, 4\/425, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5277291*s**2 - 3*s - 1281776 wrt s?\nAnswer: 10554582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40804519 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 9*h**5\/5 + 3*h**2 + 281*h. Let d(u) = 2*u**2. Calculate d(q(p)).\nAnswer: 23328*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 8. What are the prime factors of 12\/8*m - -33?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-12 - (2 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.76 + 4.16. Let z(l) = -11*l - 68. Let i be z(-6). Which is the closest to i? (a) -4\/5 (b) -1\/13 (c) -1\/2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 5, 13, 24, 3.\nAnswer: -7\/4, 3, 5, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, -112, -272, -452, -658, -896, -1172, -1492?\nAnswer: -1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*x - 447 = 0, 5*x + 176 + 269 = 5*g. Suppose -2*i + g = i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-1\/12)))*t)**(2\/3) assuming t is positive.\nAnswer: t**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 + 13*j**2 - 13*j**2 + 9*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8808*h**4 - 157*h**2 - 47729856*h wrt h?\nAnswer: 105696*h**2 - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*12\/60*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-48))\/((0 - 3)\/(-12)). Suppose c*p - 70 = -4*p. Solve 4*s = -s - 10, p = 3*z + s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.927 + 0.073. Let t = i + -17. Let d = -23.9999912 + t. What is d rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-12)*-6)\/((1647\/70236)\/61)?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1144*q**4 - 5*q**3 + 2*q**2 - 93*q.\nAnswer: 27456*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.94 + -0.06. What is the closest to 2\/7 in t, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from qqqqqqqynyaayan?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 10. Let a(c) = -5*c + 74. Let v(d) = 2*d - 25. Let u(y) = -6*a(y) - 17*v(y). Let z(i) = 7*m(i) + 3*u(i). Let l be z(-9). Is -3 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12969988 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-14)*1\/(-5)*(3211 + -3105)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -91. Let h be 8 + -5 + (n - (1 - 3)). Solve -4 = h*q, 2*c + 5*q = 3*q - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -5, 0.238?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 + 285. Let r(l) = 11*l**2 + 6*l - 6. Let a(v) = 120*v**2 + 65*v - 65. What is m*r(s) - 6*a(s)?\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-4)\/40 + 17*(-14)\/357?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-10) - (484\/(-55))\/11. What are the prime factors of t*1 - (31 - 1368)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:07 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.58 - -38.582056. Round w to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85493 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 86.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1741, -1, -5, -922 in descending order.\nAnswer: -1, -5, -922, -1741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23776 is divided by 11417?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/399 and -131\/42.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 14. Let r(s) = -s - 7. Suppose -3*o = -q + 16, 3*q + 0 = 3. Let a(c) = o*r(c) - 2*w(c). What is the units digit of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 31\/7*g**7 + 41 + g**2 - 95\/3*g**3 + 0*g + 0*g**6 + 0*g**4 + 0*g**5. Find the third derivative of u(z) wrt z.\nAnswer: 3720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2603239654.5 + -0.5.\nAnswer: -2603239655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 2. Let a(i) = i**2 - 4*i. Let z be a(5). Suppose 2*h + 9 = -z. What are the prime factors of m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 + 348. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-81)\/(-2))*(-6)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 386*t**4 - 3*t**2 + 1510?\nAnswer: 1544*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from {d: 1, x: 7, b: 1, g: 1, v: 2, f: 8}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from dzdzdddz.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.28 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10305.986 + 10306. Which is the closest to -1? (a) 1\/3 (b) f (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -0.02?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.2, -2, -3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26502 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 44*a + 159. Calculate h(-47).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 77 = 5*p, 5*g + 7 = 22. Let c(u) = -u**2 + 16*u - 6. Calculate c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*d**2 + 113*d**2 - 206*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*o = -3 - 0, 18 = 5*s + 2*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 41*b - 36. Suppose 3*d - 5 = -f - 0, -29 = -3*d + 5*f. Calculate the smallest common multiple of b and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 8. Let v be w(-6). Let t be (2 - v\/(-2)) + 4. Let i = -3207.83 - -3207.33. Which is the smallest value? (a) i (b) -3 (c) -0.4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -28*t**3\/3 - 3258*t**2 + 1864*t + 8218. Factor b(f).\nAnswer: -4*(f + 233)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a2 (base 14) to base 2\nAnswer: -1011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 21. Suppose -y + 102 + 65 = 5*u, -y = u - 35. Calculate the lowest common multiple of d and u.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.24, 0, -4, -1.38?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r = 31*r - 244 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-10)\/(-8)) - 4890004. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - -22421945?\nAnswer: 22421974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1928 = 536. Suppose -b = -2*t + 238. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-10 - -5) + 24 + -27 + 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2961 and 1007307.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -8.65477.\nAnswer: -8.65477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 249583 less than or equal to 250528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from xqbcxmxnnqn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.6666\nAnswer: -0.16666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 1:15 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -67. Suppose -5 = -5*i, -2*l - i + 13 = -28. What is the units digit of f\/l + 92\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:05 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17419773 by 57873.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -55209, -51, -3, 4 in descending order.\nAnswer: 4, -3, -7, -51, -55209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + s - 5*s = 19, -2*w + 11 = -s. Suppose 3*j = w*h + 5 - 3, -2*j = -h + 1. Let z = j - -3. What is the least common multiple of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h - 1. Suppose 1 - 2 = b. Let y(p) = 4*p**2 + 8*p + 7. Let x(n) = b*y(n) - 5*g(n). What is x(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*u**2 - 358\/7*u - 356\/7.\nAnswer: -2*(u + 1)*(u + 178)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2646 and 14.99.\nAnswer: -18.956354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 320, 318, 316, 314, 312?\n\"Answer: -2*t + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/17)\/(w\/w**(2\/11))*w*w*w*(w*w**0)\/w*w*w*w**(-2\/5) assuming w is positive.\nAnswer: w**(3206\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 37, 30, 3, -44, -111?\n\"Answer: -10*w**2 + 43*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66220918663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -8.5. Let x = 40 + -36.6. Let i = -3.9 + x. Which is the nearest to -2? (a) i (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 - 2*m**2 - 3*m - 1. Suppose -s = 3*r - 58, 3*s - 50 = 2*s - r. Calculate the remainder when s is divided by d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l**3 + 79*l + 228 wrt l?\nAnswer: -12*l**2 + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 163\/72472 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -390.82 to 0 dps.\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22613142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 18914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 60, 242, 602, 1200, 2096?\n\"Answer: 10*w**3 - w**2 - 3*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 108344*u - 1467302792.\nAnswer: -2*(u - 27086)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 3)*(-5 + 0 + 3) + (0 + 0 + 4)*(-4 + 1 + 0))*(0*o - 3*o + o) to i*o + d and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.2, 2.9, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 13) in base 16?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11648 is divided by 374.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 9*k**2 + 2*k + 19*k**2 to the form t + q*k**2 + z*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, 5\/3682, 30.9?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 6 - 2342*u - 2325*u + 4666*u.\nAnswer: -u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -2 (c) 57\/8 (d) 6140\/37 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -38. Let t(q) = q - 11. Let n be t(7). Let j = -2 - n. Which is the smallest value? (a) h (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 + 3. Let w be r(7). Calculate the common denominator of (w\/(-60))\/(1\/114) and ((-4)\/(-16))\/(-1) + 316\/(-48).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250421*t**5 + 1872463*t?\nAnswer: -5008420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -201*b - 1214. Let q be g(-6). Which is greater: q or -316\/37?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by (-14 - -47 - (0 - 3)) + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44210323?\nAnswer: 173, 255551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1158 and -0.5?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -6*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110430305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 + 268. What is the greatest common divisor of k and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 + 1 = 0. Differentiate 2*l**2 + l**2 - 2 + w + 0 with respect to l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in 1\/5, 13453, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*j + 18, -4*o + 6 + 13 = -j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/2 - 131*r**3 + 3*r**2\/2 - 10296*r + 2. What is the first derivative of d(z) wrt z?\nAnswer: -6*z**2 - 786*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/8 + (-1)\/(-2). Let d be (-100)\/(-8) - a\/(-4). Suppose -t - 2 = -d. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 9*v**2 + 9*v + 7. Let f be y(-8). Let j(w) = 91*w**3 + w + 2. Let c be j(f). Let z be (-1)\/(-5) - (-78)\/c. Is 11 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + 56. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 - v**3 - 3. Factor h(m).\nAnswer: -m**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55847503 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 6. Let g be c(-10). Suppose d = g*d. Suppose d = -9*v + 8*v + 41. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 4*u**3 - 20*u**3 + 9*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 9*h - 5. Let o(u) = 3*u**2 - 10*u + 5. Let p(g) = -5*i(g) - 4*o(g). Let d = -3 + 5. Is p(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 12*u - 282. Give w(21).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9734 - 9229*v**3 - 9734.\nAnswer: -9229*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*v + 4, -3*v - f = 4 - 3. Let i be (-6)\/1*1\/(-2). Suppose v = u - i*u + 6. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laalllaaaaalaa. Give prob of sequence ll.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*w - 48361 + 48247 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, 1 g, and 1 x when four letters picked without replacement from {k: 1, l: 3, x: 4, h: 1, g: 5, w: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 13203?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + n + 5 = 3, 3*n + 16 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023331 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, d: 3, j: 1}. Give prob of sequence je.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 - r - 9. Let z be u(4). Suppose -4*m - 25 + 5 = 0, 0 = z*n - m - 8. Is 21\/n*5\/3 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 5\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32*r**2. Let u(f) = -78*f - 6. Calculate u(j(y)).\nAnswer: 2496*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 302*n**5 + 19*n**4 + n**3 - 74*n**2 - 1507*n.\nAnswer: 18120*n**2 + 456*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*d = -70, 2*d = 4*g - 3*d - 140. Calculate the greatest common divisor of 21 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -35. What is the lowest common multiple of w and 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 2*p**2 - 2*p - 2890. Let u(h) = 6*h**3 + 3*h**2 + 3*h + 5780. Let i(d) = -5*o(d) - 3*u(d). Let n be i(0). Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -106*g - 52. What is the units digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -e0cea (base 16) to base 11\nAnswer: -579900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22962, -38245, -53528?\n\"Answer: -15283*p - 7679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74873 + -39423. Does 191 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 27. Let b be ((-8)\/(-16))\/((-1)\/d). Let h(r) = -r**2 - 4*r - 3. Let f be h(b). Sort f, -3, 2\/7 in decreasing order.\nAnswer: f, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -6, -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2844663692 and 0.02.\nAnswer: -2844663691.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224604, -2449214, -3673836, -4898476, -6123140?\nAnswer: -7347834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 115*j**2 - 152*j - 871. Let s be i(-6). Is s not equal to 4179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) -5 (d) 2\/3 (e) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -z + 53344, -6*x - x + z = -93363. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 22 = 2*s, -z - 5*s = 10. Solve -4*p = p + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314 + 317. Suppose 48 = -4*k - 2*q + 54, -y*q - 3 = 2*k. Solve k*a + 15 = -2*a - 5*j, j = 2*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -13\/28*v**8 - 29\/12*v**4 + 0*v**2 - 28*v + 0*v**5 + 0*v**3 + 0*v**7 + 0*v**6 + 0. Find the third derivative of z(n) wrt n.\nAnswer: -3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3434000 divided by -429250.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -5 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 73 (b) -2 (c) 2 (d) -372 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + -2 + (-24)\/6. Suppose -2*p + 1305 = f*x - 4*x, 0 = -5*x + 25. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (-995)\/(6 + -1). Find the second derivative of i*r - 44*r + 25*r**2 - 25*r**2 + 124*r**5 wrt r.\nAnswer: 2480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000185887 rounded to seven decimal places?\nAnswer: 0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 2*p + 25. Let d be z(-4). What is the closest to d in -4, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2322225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -686, -776, -932, -1160, -1466, -1856, -2336?\n\"Answer: -d**3 - 27*d**2 - 2*d - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4170 + -41641\/10. What is the common denominator of 83\/4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 14*r**2 + 13*r + 4. Let g be x(13). Solve -u = u - n - g, 2 = u + 5*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(120)\/sqrt(4))\/sqrt(10))**2 + 0 + sqrt(75).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -14485129.\nAnswer: 31\/14485129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 10908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f + 20. Let g be (-20)\/(-2)*72\/f. Let x = g - -44. Calculate the least common multiple of 2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/((-16)\/(-140))*(-136)\/(-170)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 + 8. Let z be i(-6). Let o = z + -12. Calculate the common denominator of ((-90)\/o)\/(24\/(-10)) and -115\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1057)\/(-49) - 23)\/(18\/14)*(20 + -21)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16297 = -1710*l - 7425 + 1492 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 94*o + 11. Let r(q) be the second derivative of -2\/3*q**2 - 5\/36*q**4 + 3*q - 1\/60*q**5 + o - 4\/9*q**3. Factor r(s).\nAnswer: -(s + 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 787425, 1574878, 2362359, 3149868, 3937405, 4724970, 5512563?\n\"Answer: 14*j**2 + 787411*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 5:52 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w**4\/9 + 260*w**3\/3 + 4648*w**2\/3 + 3920*w\/9 = 0.\nAnswer: -14, -2\/7, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e368c (base 15) to base 4.\nAnswer: 32111130201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2581 and 2407.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77384 + 77384 - 3625*q + (-q - q + 0*q)*(-2 + 4 - 5) to the form g + b*q and give b.\nAnswer: -3619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 26 = -3*d. Let n(c) = 25*c + 2*c**2 - 5*c**3 - 18*c**2 + 64*c**3 - 58*c**3 + 1 + 2*c**2. What is the units digit of n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4 + 1)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 - 47349*q\/5 - 853254\/5.\nAnswer: 3*(q - 15801)*(q + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67.1489 - 0.1489. Which is the second smallest value? (a) y (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -374 - -5612\/15. Let h = -5 - -6. Let t = -1 - h. What is the third biggest value in 2, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -9\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxbbbbxsxx. What is prob of picking 2 b and 1 x?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 65*w - 77. List the prime factors of u(4).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 2387 + 104 = -202*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 53 = -3*j, 3*h - 84 = 2*j - 12. Suppose -4*d + 112 = 24. What is the least common multiple of h and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13040 + -12728. Calculate the remainder when k is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 37. Suppose v = -r + 65, -v + b = -2*r - 53. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154648577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.6. Let n = -41.38 + 42.88. Which is the smallest value? (a) -2\/3 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-644)\/(-77) + (-12)\/33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 8. Suppose -3*m - 2*m - 30 = 0. Determine u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4))\/r)**(15\/7)*r**(19\/3)*r*r**(-2) assuming r is positive.\nAnswer: r**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 11779 = 11896 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 252.106424 and -506.28?\nAnswer: 758.386424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1706*q + 4510*q - 119164 - 133196 = 0 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*i = -136*i + 15, 5*i - 3054 = -3*g. What is the highest common divisor of 165 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**4 - m**3 + 789*m**2 + 44728*m wrt m?\nAnswer: 36*m**2 - 6*m + 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35\/328 - 1123\/246. Let b = -13\/242 - -12701\/2178. Find the common denominator of t and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, 8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 - 18*j**2 - 15*j + 37. What is the units digit of a(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 76 = -3*o. Let j be 1714\/18 + 4\/(-18). Calculate the highest common factor of j and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**4\/4 - a**3\/3 - 7. Let n be j(2). Solve 0 = -n*f + 18 - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10, -0.095.\nAnswer: -10, -0.095, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*i**3*k**2*t + i**3 + 15810*i**2*k**2 + i**2*k*t - 5233*i*k*t wrt k.\nAnswer: -42*i**3*t + 31620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14122234 (base 7) to base 8.\nAnswer: 5013315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 533*n + 25*n**3 + 0 - 476*n.\nAnswer: 25*n**3 + 57*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673 + 892. Is k less than or equal to 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 343 = -0*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332.2872 + 332. Let p = 0.11 - -0.19. Let h = p + v. Round h to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-1\/4)*h**(4\/7) assuming h is positive.\nAnswer: h**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5.45*-14\nAnswer: 76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(117) + 1)**2.\nAnswer: 96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 226147 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -17 (b) 51448 (c) -0.5 (d) -3 (e) -2\/7 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*l - 26 + 24 = 0, 0 = 5*d - 4*l. Solve 3*y - u = -2*u + 20, -d*u = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*g - 5 + 15, 0 = 3*b - 3*g + 6. Let u be (-3)\/(2*3\/(-4)). Suppose -d + u*d - 5 = b. Let n(c) = -c + 6. Give n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 6119241*t**2 + 6119241*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + ((-4*(-1 + sqrt(847)) + sqrt(847)*-1*-2)*-4)**2).\nAnswer: -272310 + 14080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/47, -55, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5350.2 + -5350. Which is the nearest to -2\/3? (a) -0.4 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/12)\/(55\/(-40)). Which is the nearest to 1? (a) r (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2138*h - 79238. Calculate o(36).\nAnswer: -2270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 + 469.0076. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 975. Let i(p) = -2*p. Calculate i(t(l)).\nAnswer: -6*l - 1950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 2*z. Suppose 0 = 5*x - 10*x + 190. Suppose 6*t + x = y + z*t, -y + 41 = -5*t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h + 433 = 161 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*8.25\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from peaeta.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7336\/48973?\nAnswer: 7336\/48973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13428 is divided by 729.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -230070306271?\nAnswer: -230070306271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, 27, -63 in ascending order.\nAnswer: -63, -2, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -28. Let n = 21 + l. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 5240?\nAnswer: 2620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*q**3\/3 - 244*q**2\/3 - 428*q\/3 - 176\/3.\nAnswer: -(q + 2)*(q + 4)*(37*q + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:32 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/3)*p)**6)**(-14\/5))**(-2\/35) assuming p is positive.\nAnswer: p**(32\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t + 414 = 5*v, 4*v = 3*t + 331. Let u = -10 - v. Round u to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 54\/21)*-7. Suppose 0 = 5*x + h*x - 6570. What are the prime factors of x?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 3)*(-3 - 204\/(-20)). Let y = -34 - x. Suppose 2*d - 7 - 6 = 3*l, y*d + 4*l = 20. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 18. Suppose -s*b + 44 = y + 6, -4*y = -5*b + 35. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 7, -1\/2, 0.039, -1.969, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 2, 1, -1 in ascending order.\nAnswer: -87, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.645 + -4.645. Let v be (-3 - -2) + 6\/8. Which is the closest to 10? (a) q (b) v (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 42*v - 162. Let t be c(4). Solve t*z - 80 = -50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8331 + -8332. Which is the fifth smallest value? (a) 5 (b) -4\/3 (c) x (d) -10 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -106.989 and -22?\nAnswer: 2353.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789802623.\nAnswer: 3, 29251949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/70)\/((-244)\/(-610)). What is the nearest to t in 22, 1, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 724626 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(72)*-2 - ((sqrt(2) + -1 + sqrt(2))**2 + 1)) + (((sqrt(36)*3)\/sqrt(6))\/sqrt(3))**2*4.\nAnswer: -8*sqrt(2) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:14 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3cdc0 - 0?\nAnswer: 3cdc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30688821 is divided by 425?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 2*6\/((-30)\/5)*74\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1, 2\/3, 5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*f*p**2*z - f*p**2 + 244*f*p + 216*f*z + f + p**2*z + 7*p**2 wrt z.\nAnswer: -6*f*p**2 + 216*f + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t + 1. Suppose t = 3*j - j. Suppose 2*a + 2 = 0, -j*o - a + 35 = 4. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*v + 20, v - 15 = -3*y - 5. Let z be ((-2)\/y)\/(52\/20). Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.7944.\nAnswer: 9.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -514, -515?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 13. Let u be k(-3). Let n(y) be the second derivative of -7*y + 0 - 1\/3*y**3 + 1\/20*y**u + 1\/2*y**2 + 1\/12*y**4. Determine n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5535 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**6\/105 + q**5\/10 + 5*q**4\/42 - q**3\/3 - 6*q**2\/7 - 10*q. Factor k(w).\nAnswer: 2*(w - 1)*(w + 1)**2*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217787.\nAnswer: 17, 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936306 and 2675160.\nAnswer: 18726120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18201, 72814, 163851, 291312, 455197, 655506, 892239?\nAnswer: 1165396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 7*x**2 + 6*x + 3. Let g be w(-4). Let u = -51 + g. Let a = u - -48. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.390104 days?\nAnswer: 465704.9856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2388 (base 10) to base 14\nAnswer: c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64684013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let h(i) = i**2 + i - 11. Let l(b) = h(b) + 4*w(b). Let p(r) = 7 - r**2 + 0*r**2 - 9 + 6 - r. Determine 3*l(n) + 5*p(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81 + (-1)\/(3\/(-15)*-5). Suppose -4*a + 0*a - y = 0. What is the second biggest value in 1, a, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -961\/5 - -191. Let t = -36.9 + -23.6. Let o = t + 60. Sort -2\/7, s, o in decreasing order.\nAnswer: -2\/7, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**4 - 3*j**2 + j + 1. Let l(s) = -487*s**4 - 18*s**2 + 6*s + 3327. Let h(q) = 6*g(q) - l(q). Find the first derivative of h(o) wrt o.\nAnswer: 1900*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 300, 805, 1540, 2517, 3748, 5245, 7020?\n\"Answer: 2*u**3 + 97*u**2 - 18*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v - 43. What is h(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/26*((-3)\/((-42)\/(-68)) + 4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*c + 112 + 776 = 0. What is the remainder when 849 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242937023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24\/5, 3 in increasing order.\nAnswer: -1, 3, 24\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -71. Let s be 6*1 + -2 + 1. Suppose s*i - 70 = -5*o, 48 = -0*i + 3*i + 5*o. What is the remainder when x is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-755)\/(-302))\/((-3)\/30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b + 56. Let o(j) be the second derivative of -j**5\/5 - 7*j**2 - 2617*j. Let l(i) = i**3 + 3. What is b*l(h) - 6*o(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmd when three letters picked without replacement from {v: 4, k: 2, m: 1, d: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + x = 61, -5*x - 7 = -b - 0*x. Suppose -728 = -b*d - d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/11 smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7608.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccbvv. Give prob of sequence cb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*w + 7050530 + 432434 = 662*w. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 3*sqrt(99)*1)\/(sqrt(72)\/(sqrt(8)*3)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.37 + 4.37. Let r be (56\/10)\/((-1)\/(-5)). Let z be (-4)\/(r\/15) + 2. What is the third biggest value in n, -3\/5, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 0.07384?\nAnswer: 0.07384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 - h**2\/2 + 7*h + 2. Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n = -53*n - 3. Solve -1\/8*c**5 + 5\/8*c**4 + 1\/2*c**2 - c**n + 0*c + 0 = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:16 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.003 + -0.213. Let q = w - -0.01. Which is the second smallest value? (a) q (b) 1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*a + 2*a + 44, 5*a + 44 = 2*x. Suppose -3*q + 0*q + 396 = 0. What is the greatest common divisor of x and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19758*q**3 - 204507*q**2.\nAnswer: -118548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12469 - -12505) + 199\/(-6).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-93)\/(-45) + (-2)\/5. Factor -1\/3*f**3 - 8\/3*f**4 - 1\/3 - 4\/3*f**5 + s*f**2 + 1\/3*f.\nAnswer: -(f + 1)**3*(2*f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*d - 5, -3*d - 8 = -3*i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 99 = -16*o. Let a(d) = -d**2 + 5*d - 2. Let l be a(7). Let x be (-10)\/8 + 12\/l. Put x, o, 0 in descending order.\nAnswer: o, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*d**3*m + 5*d**3 + 3146*d**2 - 4494*d*m wrt m?\nAnswer: 11*d**3 - 4494*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.33 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -19*b - 3. Let z(j) = -8*j - 1. Let d(w) = -6*r(w) + 15*z(w). Let p(q) = -7*q + 4. Let m(a) = 5*a. Let k be m(1). Give k*p(h) - 6*d(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420176?\nAnswer: 2, 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 310 = 90*i - 176. Solve -i*w - 77 = -97 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -3013126 in increasing order.\nAnswer: -3013126, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3 - 89. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599140?\nAnswer: 2, 5, 29, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 1072.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6338 + -0.3.\nAnswer: 6337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -20. Let f(x) = -x**2 - 5*x + 5. Let c(d) = -3*d + 3. Give h*c(j) - 3*f(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x - 4. What is u(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5556*b - 522260. Calculate d(-94).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14261561 or -14261563?\nAnswer: -14261561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 5*m - 9, -42 = 4*l - 2*m. Let g = l + 14. Suppose -5*i + 43 = 3*s, 5*i = -0*i + g*s + 37. Calculate the lowest common multiple of 11 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.618696g to tonnes.\nAnswer: 0.000003618696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111110 (base 3) to base 16.\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 428.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 minutes after 11:55 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/3))**(7\/11)*(((k\/k**(1\/7)*k)\/k)\/k)**(-29) assuming k is positive.\nAnswer: k**(761\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18610*z + 18524*z + 18617*z - 55732*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90128 is divided by 201.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v. Suppose v*n + 4*s - 12 = -2*n, 3*n + 2*s - 26 = 0. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 + 68*o + 1. Give n(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 177? (a) -12 (b) -2 (c) -8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11009 or 11008?\nAnswer: 11009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + r**3 + 12151*r - 12151*r + 90*r**2 to z*r**3 + l*r**2 + x*r + t and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010001010011100 + 1100001001?\nAnswer: 1111010010110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -9741.3.\nAnswer: 974.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5763 - 7380 = -3*z. Does 16 divide z\/(-39)*3\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682793037?\nAnswer: 149, 11293913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.428 in 0.08, 0.1, -26, 10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 6)\/2 + 3. Let h = w - -3. Suppose -61*j + 988 = 622. Solve 0 = -u + 3*y - 13, -h*u - 14 - j = -4*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 32*s + 83. Let z be v(-8). Let q = z + 237. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 3 - 2 + 5.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/102807 and -74\/9.\nAnswer: 102807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - 32*h**2 + 32*h**2 + (-h + 0*h + 3*h)*(2*h**4 - 2*h**4 + h**4).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 5)*(1 + 1 + 0) + (4 - 3 + 1)*(-2 + 2 + 4))*(-2*v - 1 + 1).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/415?\nAnswer: -6\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l**3 + 27052*l**2\/3 + 7572*l - 58656 = 0.\nAnswer: -3, 13\/6, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 123.4 * -0.06\nAnswer: -7.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/5 - 126*r**3\/5 - 468*r**2\/5 - 456*r\/5 = 0.\nAnswer: -38, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -12. Let z(g) = -g + 8. Let j be z(x). Solve -b + 2*b = -5*q + 10, -2*q = j*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -841*g**6 - 16*g**5 - 6398*g**2 wrt g.\nAnswer: -100920*g**3 - 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 20, 3, -17, 0, 18 in descending order.\nAnswer: 20, 18, 3, 0, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 7, j: 3, q: 4, t: 3}. Give prob of sequence qtqi.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/(-6) - (-332)\/(-249). What is the greatest common divisor of 153 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 36 = 19. Let j(c) be the first derivative of c**3\/3 - 7*c**2\/2 - 11*c + 129. What are the prime factors of j(o)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -60.6. Let k = 33.4 + b. What is the third biggest value in k, -1\/2, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -315, -560, -965, -1578, -2447, -3620, -5145?\n\"Answer: -8*l**3 - 32*l**2 - 93*l - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose -z*w = -w. Is w <= 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -148. Which is the closest to 0? (a) 2\/13 (b) -2\/9 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, 2.\nAnswer: -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*u + 5*u**2 - 29*u + 50*u**2 as c + y*u + g*u**2 and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -17*t**6\/15 - t**5\/20 - 36*t**2 + 3*t + 5. What is the derivative of w(p) wrt p?\nAnswer: -136*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j + 5\/3*j**3 - 1 + 0*j**2. Let k(c) = -387*c - 402*c + 788*c. Give k(r(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164876\/7 + -23554. Let z = -0.9 - -1. Which is the closest to 10? (a) r (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 4, k: 5, c: 1, f: 1, t: 5}. Give prob of sequence fc.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14 - 4*t - 2*t + 4*t + 2*t + 3*t. Give p(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-7 - 12)) + -16 + 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 13. Suppose -15 = -w - 3*l, -3*l - 2*l + 60 = 4*w. Let o = -12 + w. Calculate the smallest common multiple of t and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 73. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 19230*h**3 - 2*h**2 + 7*h**2 - 19233*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195.08 + 12771374300.\nAnswer: 12771374495.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:21 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7488510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29166 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 115 - 4*q**2 - 115. Let y(s) = -4*s**2. Give d(y(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g + 1\/10*g**5 + 0*g**4 + 0 + 7*g**2 + 0*g**3. Let z(p) = 8*p. Give c(z(h)).\nAnswer: 384*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 1 + sqrt(171)*1)**2.\nAnswer: -187 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3770 (b) -45 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 0.5, 0, 238?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -32.9999974. Round d to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*m**4\/3 - 15883*m**3\/12 - 64539*m**2\/4 - 155150*m\/3 + 41875\/3 = 0. What is m?\nAnswer: -67, -50\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15d339 (base 15) to base 12.\nAnswer: 42b900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3 + 17 = 0. Which is smaller: -103 or j?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 364 + 721742?\nAnswer: 722326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1031, -2362, -3695, -5030, -6367?\nAnswer: -7706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90*-4*(-1)\/6. Suppose -5*p + 2*p = -m. Does 4 divide 3*(-4)\/(-30)*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:07 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 18*w - 104. What is y(-9)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 33*x + 18. Does 3 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-11)*j)**(10\/9))**(1\/33))**(-10\/9))**17 assuming j is positive.\nAnswer: j**(17000\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04696936 + -2935696.04696936. Let t = -2935693.8999952 - x. Let d = t - 2.1. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 13 = i, -15*t + 13*t + 4*i = 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (21 - -9) - (-39 - -11 - -30)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*q. Suppose 0 = -2*j - q*j + 12. Solve 4*v + 19 = -j*m, v - 16 = 4*v + 4*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12233*a + 264636 + 65655 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22043 - 1641.\nAnswer: -23684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.06, -0.2, 3.14, -1 in decreasing order.\nAnswer: 3.14, 3, -0.06, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 6:32 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, 24, -2, -38 in descending order.\nAnswer: 24, -1, -2, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1125 = -5*j - 1046, 3*h - 3 = 0. Which is greater: j or 724\/45?\nAnswer: 724\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1614654\/5 >= -322931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 5*w - w)*(1 - 3 + 1) + 2525 - 2525 + 123*w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 272\/(-440) - (-4)\/(-22). Which is the second smallest value? (a) p (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3996 (b) 0 (c) 4\/3 (d) 17 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*p - 2577*d*w**2 + 18402*p*w**2 + w**2 wrt d?\nAnswer: 2*p - 2577*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34233090 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8 and (-472)\/56 + 9 + (-3820)\/(-1099) + -4?\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.966 + -0.034. Let x = l + 33.4. Let p = 5 - x. Put -3\/7, p, 1 in decreasing order.\nAnswer: 1, p, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229 divided by 5724\nAnswer: 229\/5724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195151.\nAnswer: 11, 113, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -32*j**2. Let b(m) be the first derivative of m**4\/4 - 10*m - 27. Let n(u) be the first derivative of b(u). Determine n(w(c)).\nAnswer: 3072*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k, 0 = -4*f + 3*k + 148 + 31. What are the prime factors of f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4603 is divided by 272.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-529)\/(-1587))\/(-1 - ((-384)\/99)\/4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2)*(-6)\/18. Let l = 6 + -11. What is the biggest value in y, -4, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = -5. Let s(c) = 3*c - 1 - c**2 + 1 + 1 + 0. Let w be s(4). What is the second biggest value in u, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:13 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(52\/486)*6*1. What is the tens digit of (4\/(-6))\/(-1*6\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9965.22ml in litres?\nAnswer: 9.96522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 - 25 - 294)*(3 - 3 - 2)*(-2*u + 3*u - 2*u).\nAnswer: -862*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 24. Let n be t(-19). Suppose 4*b = n + 58. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030 + -11?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p + 88. Suppose 3*b - p = -9. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - u + 4*u - u - u + (1 - 1 - 2*u)*(-1 + 1 - 1) + 0 + 2*u + 0 + 2*u + 5*u - 6*u + 3*u - u - u + (2 - 2*u - 2)*(-2 + 2 + 2) - 4 + 4 - 2*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*c - 32045 = 1965*c + 23593 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*y - 3 + 3)*(-30 - 86 - 37) in the form q*y + g and give q.\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = 402*c - 367*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9332 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29239 or -29238?\nAnswer: -29239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 12*y**3 + 15*y**2.\nAnswer: -3*y**2*(y - 5)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c8 (base 13) to base 14.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**3\/6 + 19*w**2\/2 + 2*w - 26. Determine x(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 c, and 1 r when four letters picked without replacement from {h: 1, i: 1, k: 1, w: 2, c: 1, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 91. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.003539 to the nearest integer.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 4. Let p be y(3). Let g = p + 2. What is the remainder when 11 is divided by (1 - 0) + 4 + g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -121?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 36*p - 1 - 35*p + 0*p + p - 2*p + (4 + 0 - 3)*(-p + 0*p - p).\nAnswer: -2*p + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 7\/2*10. Let k = 13 - a. What is the least common multiple of 20 and (1\/((-3)\/k))\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 34 + 8 = 0. Let h be (-33)\/7 + 6\/(-63)*b. Let n(u) = -u**2 - 4*u - 3. Calculate n(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3136041*d**3*h*l + 4*d**3*l - 160*d**2*l - d*l + 19*l - 19 wrt h?\nAnswer: 3136041*d**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81010032?\nAnswer: 2, 3, 17, 99277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 - 11*d**2 + 7*d - 2. Let q(b) = 2*b**3 + 5*b**2 - 3*b + 1. Let u = -43 - -50. Give u*q(t) + 3*y(t).\nAnswer: -t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m + 2366 - 2590 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - 23*d - 1. Let k(v) = 10*v - 4. What is the remainder when c(8) is divided by k(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905918589 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: Let u(f) = -f**3 + 23*f**2 + 5*f + 5. What are the prime factors of u(21)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 + 2*n**2 - 3*n - 9. Let q(o) = -2*o**3 + 3*o**2 - 2*o - 8. Let k(j) = -4*q(j) + 3*u(j). Let x be k(-6). Is 10 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*((a**(-12)\/a)\/a)\/a*a)\/((a*a**(-9\/5)*a)\/a))\/(a\/a**20*a**(2\/23)) assuming a is positive.\nAnswer: a**(887\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*11732\/(-294) + (-2)\/(-7) is divided by 81.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000706695 rounded to seven dps?\nAnswer: 0.0007067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - l + 8 = -3*w, -5*l - 8 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(2 - -2) + 7\/1. Which is the closest to -37\/4? (a) -5 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - r**3 - 90*r**3.\nAnswer: -94*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5563?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 33 = -7*j + k, 4*j - 63 = 5*k. Suppose -5*p = 82 - j. Let c(n) = -3*n - 29. Calculate the least common multiple of c(p) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1613400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*o = -10 - 34, -2*l + 23 = 3*o. Suppose -4 + l = u. Solve 0*g + 15 = u*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16458.\nAnswer: 2, 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406 + 665. Suppose -6*y + 4043 = -u. List the prime factors of y.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 631, 632, 633, 634?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -18*j**2 + 2*j + 5. Let h(z) = 38*z**2 - 3*z - 9. Determine -6*h(a) - 13*y(a).\nAnswer: 6*a**2 - 8*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4580517*p**3 + 2*p**2 - 2*p + 1. Let i be l(1). Let b = 16282 + 3200. Suppose -5*w - i = b. Round w to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 12*d**2 - 102*d - 42. What is l(16)?\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22575690 is divided by 3352?\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 124. What is the remainder when 51 is divided by 74\/4 + (-5)\/40*f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 135 + 23 = 0. Let a be (60\/21)\/((-8)\/k). Let r = -7 + a. Let p(g) = g**3 - 3*g**2 - g + 1. Determine p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/64 (c) 2 (d) 0.17 (e) 1\/3 (f) -0.4 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.847 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {h: 3, c: 6, e: 1, j: 1, w: 3, o: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1 - (20*3107)\/5. Let v = s - -362425. Suppose 0 = -f + 6*f - v. What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341623481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.251?\nAnswer: -1.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*r - 343*r**3 + 171*r**3 + 175*r**3 - 2 as c + k*r**2 + h*r**3 + g*r and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106bd76 - -19?\nAnswer: 106bd8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.729865 plus 289?\nAnswer: 428.729865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225, -2329, -3433, -4537, -5641, -6745?\nAnswer: -7849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-15 + 2) - 18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 270659177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16885 - -2?\nAnswer: 16887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30.3 from 0.0058273878972.\nAnswer: 30.3058273878972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) -5788 (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwwwwwwzzw. What is prob of picking 2 z and 1 w?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 16 + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-6))\/(3\/9). Let w(g) be the third derivative of -g**5\/60 - g**4\/8 + 2*g**3\/3 - 99*g**2. What is w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y + 14. Let h be f(0). Suppose 2*a - 3*v - h - 31 = 0, 2*v + 24 = a. Let w = -4 + a. Calculate the greatest common divisor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/35 - 9\/(-21). Which is the biggest value? (a) t (b) -2 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -709893950 rounded to the nearest one million?\nAnswer: -710000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/53480 and -1\/3.\nAnswer: 160440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**3 - 3*d**2 - 2*d + 1. Let o be y(-2). List the prime factors of 2 - 2\/1*o\/(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -118. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:19 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u + 341*u = -290 - 508 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 2*m - 2. Let k(c) = c**2 + c + 1. What is -f(j) - 4*k(j)?\nAnswer: 3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -358*a - 72. What are the prime factors of c(-6)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -190.91166 to zero decimal places.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -985, -997, -1021, -1063, -1129, -1225, -1357, -1531?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(17) + -3 + -1).\nAnswer: -20 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4504 and -93\/40.\nAnswer: 22520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -3\/2368, 0.5, 1\/4, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002397 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 2945 = -14*x - 2*l, 0 = -l - 5. Let w = 616 + x. What is the highest common divisor of 30 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**3 + 290*l**3 + 18*l**3.\nAnswer: 330*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-19)\/(-76)). Suppose -o*z - 9 = -c, -5*c + 4*z = -4*c - 15. List the prime factors of (-60)\/(-18)*c*52\/10.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16491 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (0 + 43 - (-90 - -89)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 52167817.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 - f**3 + 3*f - 5498 wrt f.\nAnswer: 8*f**3 - 3*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 13*o - 19*o. Suppose 70 = o*r - 7*r. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 51 = 5*o - 12*f - 158, 4*o = -5*f - 115 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5308336 * 0.3\nAnswer: -1592500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z + 32 = 20*z + 2*q, z + 22 = 4*q. Let s(m) = -11 - 4*m - 14 - 3*m. Let n be s(z). Which is bigger: n or 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -16 - 0. Solve -3*s - 5*w - 20 = 0, -5*s - 2*w + w = p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 3*x**2 - 3*x**2)*(-3 + 3 + 4)*(1 - 4*x + x + 2*x) in the form y*x + t + z*x**3 + d*x**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 16*f**2 + f - 38. Calculate n(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15931 is divided by 693.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -679, -814, -949, -1084?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:04 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 5*s**2 + 3*s - 2. Let m(n) = -5*n**3 - 14*n**2 + 8*n - 5. Determine -3*m(w) + 8*q(w).\nAnswer: -w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 193064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/2 - 14115*d**3 - 199261453*d**2\/2 - 199219110*d - 99602498 = 0?\nAnswer: -14114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 153 = 5*j. Suppose -5*a - 28 = -173. What is the remainder when a is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 98*t**2 + 1982*t + 230. Calculate r(-69).\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*185\/50 + -7. Factor t + 2\/5*a**2 - 4\/5*a.\nAnswer: 2*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 120 = 106. What is the second derivative of 4697*i**d - 4697*i**2 + 4 - 20*i - 168*i**3 wrt i?\nAnswer: -1008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Suppose -u = -d*u + 15. Let m(q) = q**3 - 5*q**2 + 5*q - 5. Let x be m(u). Solve 5*h + 36 = -4*p, 0 = 4*p - 0*h + h + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1363 divided by 5.\nAnswer: -1363\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {l: 1, f: 4, m: 1, q: 4, x: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.42 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 492, -2, -19, 2\/3, -0.2, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -130*p**7\/7 + 2*p**5\/5 - p**3\/3 - 3*p**2\/2 - 246*p - 9086. What is the third derivative of c(w) wrt w?\nAnswer: -15600*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*(d*d**(-5)\/d)\/d*d*d\/(d**(-4\/3)\/d)*d\/d**(-2\/7)*d**(-1\/9)\/d**(-1\/7)*(d**(1\/2))**(-2\/41) assuming d is positive.\nAnswer: d**(-16463\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/10*1*0. Suppose 5*l - 1 = 2*h, 8 = -2*h - 2*l - v*l. Let y(o) = -7*o**3 + 5*o**2 + 4*o + 4. Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b + 18. Let g(p) = -p**3 - 4*p**2 + 5*p - 6. What is the tens digit of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, 97, -1\/4, 0.3, 0.1961?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 114 (b) 86 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from fddpdfpdpfdptpf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exx when three letters picked without replacement from xexkxhxhueeube.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253426237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/70*1\/((-40)\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 16) to base 6\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 7 - 6\/8. Let z = -0.45 + 0.38. Sort z, u, 0, -5.\nAnswer: -5, u, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 977223872*1\nAnswer: 977223872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18321497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + w - 5 - w + 2*w. Let c be a(-5). Suppose -129*n + 500 = 48 - 64. Solve n = -2*p - c*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14 + 9 + 34 + 16*n**2 + 23*n. What are the prime factors of l(-6)?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 - (-1 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1391, 2816, 4241?\n\"Answer: 1425*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*q - 5, -4*h + 6 = -q - 3*h. Let z = -1.953 - 0.047. Which is the fourth biggest value? (a) -2\/7 (b) q (c) 2\/23 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12564499 is divided by 897463.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*k = 6, -51*z = -54*z - 4*k - 6. Is -62\/25 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 26. Let r = 11 - -4. Let k = z - r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -2*(sqrt(176) - sqrt(176)*1 - sqrt(176)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 6 - 6 to f*t + c and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 2. Let v be p(5). Suppose v*l - 20 = 6*l. What is the least common multiple of l and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d**2 - 4*d - 1. Let n be t(3). Let u be (55\/(-25))\/(-1) + -2. Let x be ((-4)\/30)\/((-2)\/20). Which is the nearest to -2? (a) n (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.24 to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n. Let x(z) = z. Let v(o) = -3*o. Let g(t) = -v(t) - 4*x(t). Calculate w(g(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94810, 98495, 102180, 105865, 109550?\nAnswer: 113235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 633168*p**2 - p. Let t(o) = o. What is z(t(y))?\nAnswer: 633168*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1030\/7 + -147. Sort f, -6, -5 in increasing order.\nAnswer: -6, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i**3 - 2*i**3 + 3*i**3)*(-1 - 7 + 1) + 0*i - 2*i**3 + 0*i + 2*i**3 - 2*i + 2*i to g*i**2 + d + f*i**3 + m*i and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -99.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x. Let o(r) = -12355*r**2. Determine o(w(d)).\nAnswer: -49420*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12187, 24521, 36857, 49195, 61535, 73877, 86221?\n\"Answer: a**2 + 12331*a - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*(-66)\/(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*t - 72, 0 = 2*t + g - 2439 + 2418. Let k = 0.1 - -0.4. Which is the closest to -2? (a) t (b) 2\/7 (c) k (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 31. Suppose h*x - 1011 = -949. Calculate the remainder when 154 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2104773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 325987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (3\/(-6))\/((-1)\/6). Suppose -13 = -f + j. Let l be 4 - -3*f - 0\/1. Calculate the highest common factor of l and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 5, 0, -2, 3, 993, 4 in descending order.\nAnswer: 993, 5, 4, 3, 0, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 - -0.1. Let h = r - 1. Let u = 0 - h. Which is the third smallest value? (a) u (b) 2\/13 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2 - 132*-6. Suppose 3*t = -t + u. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -678*r**2 - 2341*r - 20. Let v(u) = 677*u**2 + 2344*u + 24. Let i(o) = 5*v(o) + 6*z(o). What is the second derivative of i(c) wrt c?\nAnswer: -1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 212*x**3 - 29*x**2 - 23*x + 4. Calculate w(-1).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -3466?\nAnswer: -2426.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -4*z - 0*d, 0 = -3*z + 4*d + 26. Solve 4*h + 1 = 5*f - 10, -5 = h - z*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 31 = t, -3*v = 4*t - 8 + 97. Let d(z) = -z**3 - 13*z**2 + z - 17. Let u be d(-13). Let w = u - v. Put w, -4, 3 in descending order.\nAnswer: w, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1718, -1697, -1666, -1625, -1574, -1513, -1442?\n\"Answer: 5*z**2 + 6*z - 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0072 * 16.\nAnswer: 0.1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64698?\nAnswer: 2, 3, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27857 - ((-45)\/(-9) - -4). Suppose -g - 2495 = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 144, 211, 334, 531?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -8, 26\/83, 3, -2\/5, -3?\nAnswer: 26\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2011022100?\nAnswer: -2011022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150407531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 465963242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))**(-32))**(-2\/39) assuming o is positive.\nAnswer: o**(320\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4522)\/532)\/(7\/14)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 26 (b) 0 (c) 0.2 (d) 3.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*m - 192*m + 880226 = -169407. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let i(o) = -o**2 - 5*o. Let n(x) = -x**2 - x. Let h(j) = -i(j) + 5*n(j). Calculate b(h(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -20\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 121728\nAnswer: 1\/30432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1561 - 0.2231. Let o = h - -0.067. Which is greater: 16 or o?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-250)\/126)\/(-25))\/((-140)\/(-8)).\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139180435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -2\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -19 - (31 - (-16 + (-17 - -56))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + -5 + 3 + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 13*u + 22. Let k be v(15). Let h = k - -12. Solve 0 = -4*l - h - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 206 = -3*q + 4*a, -2*a = -4*q - 278. Let v = q - -168. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d + 28 - 206 = 0. Suppose 2*i - 3*i = 0. Solve -d*y = -6 - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/8, -0.08?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.99 - -19.59. Let a = 17.59897 - l. Round a to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 = n, 6*k - 12 = 2*k - 4*n. Let l(u) = 7*u**2 - 6*u + 6*u**2 + k*u. Let h(z) = z. Determine h(l(t)).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.87 + 0.13. Which is the nearest to -1? (a) -1 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:17 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6999712*w - 44692024?\nAnswer: 6999712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(5 + 0) - (-2 + -5). Solve -20 = -b*n + 9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*((-45)\/(-27) + 2*-1). Let s(t) = 3*t**3 - 5*t**2. Let w(f) = -3*f**3 + 4*f**2. Determine j*s(v) - 6*w(v).\nAnswer: 3*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 43860000 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185 a factor of 620648055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2919552 + 2919552.03499662. Let u = -82 + 82.035. Let v = u - q. What is v rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 19. Let k be d(-14). Let c = -3337 - -3362. Solve -4*h - 50 = -5*z - 5, -c = -k*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 12*f - 7*v - 30, f = -v + 2. Solve -1 = 2*m + y, -4*y = -f*m + 35 - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/335 + 1053\/5360. Find the common denominator of i and (-9 - 5)*10\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -84. Suppose 0 = -3*o + i*o + 3990000. What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 7*j**2 + 7*j + 2. Let o be w(6). Let t(r) = r - 3. Let a be t(o). Solve -c = 4*c - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76.23 and -3.\nAnswer: 228.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*m + 23 = -2*g, 5*m - 10 = -4*g. Suppose -g*v + 325 = -0*v. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3666 + -136?\nAnswer: -4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g - 1. Let h(i) = -i + 1. What is -3*h(c) - 3*s(c)?\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**(1\/6)\/j)*j)\/j*j)\/j*j**(1\/63) assuming j is positive.\nAnswer: j**(485\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 114, 136, 172, 222, 286?\n\"Answer: 7*n**2 + n + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Let j be d(2). Suppose -269 + 87 = m. Let o be (-80)\/m - (-4)\/(-14). Put 0.3, j, o in decreasing order.\nAnswer: j, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l - 2. Let v(d) = -4*d - 1. Determine -5*g(w) + 12*v(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l - 45 = -82*l. Suppose -d - 48 = 2*v - 6*v, d - 60 = -l*v. Sort -3, -9, v in ascending order.\nAnswer: -9, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -82.6. Let h = -7.39918 - x. What is h rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -15*w + 3040. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-7) - (19 - 18). Which is the closest to q? (a) 0.5 (b) 11 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140355181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1021 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {q: 3, k: 1, i: 5, g: 1, l: 2, x: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 12*d. Calculate the lowest common multiple of 21 and c(6).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:24 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 2404?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = -26*o + 68 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 71. Let p be m(15). What is the third biggest value in -1, -0.03, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*f + 13 = -3*f, 5*k = 4*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z. Let u(w) = -13*w. Determine u(y(a)).\nAnswer: -13*a**2 - 65*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o. Suppose 3*i - 6 + 3 = o. Calculate the least common multiple of 6 and 11*i + (4 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 304413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 593*l**6\/120 + 5*l**5\/6 + 26*l**2 + 4*l. What is the third derivative of m(n) wrt n?\nAnswer: 3558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 - 9*m**2 - 27*m - 60. Determine f(-3).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*a - y, -4*y = 4*a + 17 - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 407 + 625. Suppose h + z = 4*m, 3*h = -5*m + 93 + 238. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:34 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/5 - 10\/25. Suppose -f - h*f = -620. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 9745 + 3037. What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - ((-5 - -5) + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - 3041953567?\nAnswer: -3041953625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1283 + -558.8717. Let r = 558.431 + v. Let s = r - 0.051. What is s rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(13\/(-39)). Let j be (-1 - (-15)\/13)\/g. What is the closest to 0 in -0.1, -3, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 35, 35, 23, -1, -37, -85?\n\"Answer: -6*m**2 + 30*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.38 (b) -3 (c) -11.52 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50279 is divided by 49104.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240890634*y**5 - 5942*y**2 - 974*y - 11?\nAnswer: 14453438040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - 0.7. Let d = j + -0.4. Let y = 13 - 13.4. Put -2\/3, d, y in decreasing order.\nAnswer: y, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 - 225*b + 5712. What is w(-95)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 277*r + 2054. Calculate z(-7).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a6 + -120?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -938 + 941. Let i(r) be the first derivative of 6*r**3 - 2 + 1\/2*r - h*r**2. What is v in i(v) = 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n. Let l = 20 - 62\/3. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-45)*(-4)\/(-8). Suppose -3 = t + 4*w, -8 = 2*w - 2. Suppose -5*h + 4 = 5*s + t, -2 = 2*h - 5*s. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j - 3455 = -5527 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 6 = -7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o*o**2*o*o)\/(o**(-2\/15)*o**(3\/5)) assuming o is positive.\nAnswer: o**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 46*x + 0 + 15\/2*x**3 + 3\/4*x**4 + 0*x**2. What is the second derivative of p(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s**3 + 5*s**3)*(-3*s**2 + s**2 + 3*s**2) + 185 - 77 - 1054*s + 1057*s + 2*s**5 + 3*s**4.\nAnswer: 3*s**5 + 3*s**4 + 3*s + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let n(h) = 9*h + 7 - 7 + 0. What is n(l(w))?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, -20858\/121, 4 in descending order.\nAnswer: 261, 4, -20858\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -12) + (15 - -3) - -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -18, -64, -140, -252, -406, -608?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 25\/9, 1441, 1, 0 in increasing order.\nAnswer: 0, 1, 25\/9, 10, 1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 94*c - 529\/36*c**4 + 46\/9*c**3 - 2\/3*c**2 + 0. Find o, given that j(o) = 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 78, -6, -5, 0 in decreasing order.\nAnswer: 78, 0, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159 and 13965?\nAnswer: 740145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/420)\/(8\/((-112)\/(-21)))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 858*z + 398122. Determine w(-464).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*12\/10*1. Let c be (-12 - l)*(-2)\/4. Suppose 2*t + t - 84 = c. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/5 + -2. Let d = 18.2 - 18. Which is the second biggest value? (a) 4 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2 - 1)*9*242768\/144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5552, -11308, -17064, -22820, -28576?\nAnswer: -34332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -256*p + 1627. Let i be q(6). What is the greatest common divisor of 806 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 3. Let z = 13 + -15. Let b be t(z). Let v(g) = 6 - b + 6 + g. What is v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 2200122003?\nAnswer: -2200122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384876, 384941, 385006, 385071, 385136?\nAnswer: 385201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 - 2*d**2 + 2. Suppose z = 5*z - 4. Let i = -1 - z. Let l(v) = -5*v**3 + 3*v**2 - 3. Determine i*l(j) - 3*t(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -47*c**3 + 46*c**3 + 2*c - 4 + 3. Let y be a(-2). Suppose -3*v + 160 = -v + y*z, 4*z = 4*v - 280. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48163490.\nAnswer: 2, 5, 29, 166081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.3 (c) 1\/10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19763 + 19851. Solve u*c = 80*c - 56 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4, 1\/8, 11, 0.8, 15 in descending order.\nAnswer: 15, 11, 4, 0.8, 1\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-588)\/(-504) + 86\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4 - 2516*l**3 + 67716*l**2 - 268156*l - 2316080 = 0?\nAnswer: -655, -4, 13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -a5c0?\nAnswer: -a5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189115 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56659, -56669, -56679?\nAnswer: -56689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let t(p) = -54*p + 3. Give t(h(o)).\nAnswer: -108*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -53*w**3 + w**2 + 3*w - 3. Calculate a(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-22)\/(-7) - 3). Let i be 20\/u + 1 + -3. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -2, 51\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 1225205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**6\/210 - 73*q**5\/105 + 40*q**4\/3 + 22*q**2 - q + 5. Factor u(r).\nAnswer: -4*r*(r - 7)*(r + 80)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 277 - 281 - 2*m**2 + 3*m**2 + 4*m. What is b(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -0.1 (c) 25 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 17 - 2*q + 26 + 5 - 5 - q + (-3*q - 4*q + 6*q)*(2 + 1 - 1).\nAnswer: -5*q + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*l, -11*l + 7*l - 4 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 271 + 354)*(-3 + 2 + 0)*(-4*f + f + f) + f + 0*f + 0*f.\nAnswer: 1449*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -55*j**3 + 9*j**2 + 56*j - 147. Calculate a(2).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10406201 and 0.412681?\nAnswer: 10406200.587319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 56\/4021?\nAnswer: 56\/4021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 50, 84, 120, 158, 198?\n\"Answer: r**2 + 29*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29336356 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/11 + 856010*b\/11 + 8560300\/11 = 0. What is b?\nAnswer: -10, 428015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6259603.5us in hours?\nAnswer: 0.00173877875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*t + 13 = -0*t, 5*a - 25 = -t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1233432 and 177?\nAnswer: 1233609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 440\/29 less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + (1 + 1)*24\/(-16). Is 4 + 502\/3 + (-3)\/k a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-57))\/((99\/(-27))\/11).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 8 + (4\/(-12)*6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7 - 6 + 3 - 7 - u. Let c(d) = -d**3 - 6*d**2 + 3*d - 3. Let z be c(-7). Let t be 10\/z - (-2)\/(-5). Calculate m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*q = -8*m - 12, -4*m - 2*q = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 40, -0.05, -3\/2, 9, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o = 63900000. Suppose -2*n - o = n. What is n rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3 + 9827313*b**2 + 3881469.\nAnswer: -3*b**2 + 19654626*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-841271710)\/(-3258) - 2\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89870 divided by 2\nAnswer: -44935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26318.5092 seconds to days.\nAnswer: 0.304612375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -781*o**2 + 1110.\nAnswer: -1562*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-8)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -14312243?\nAnswer: 14312242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 51 = 6. What is the greatest common divisor of h and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3629529 bigger than -3629590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*r + 12969 = 10629 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -16. Let n be (1 + -2)*133 + 7 + -3. Let r = n + 905\/7. Is r smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 6*l + 4. Suppose 2003 - 2055 = 13*q. Let w(p) = p**2 - 6*p - 5. Determine q*w(z) - 5*v(z).\nAnswer: z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. Let y = -43 + 42. What is the nearest to 2\/5 in 1\/6, y, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65904 (base 12) in base 9?\nAnswer: -224264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (2 - 1)*-5. Let p = -100 - -295. Let l be (p\/(-40))\/13*2. Which is the second smallest value? (a) h (b) l (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 + l**2)*(-l + 5*l - 2*l) + 2 + l**3 - 2*l**2 - 2 + (0*l**2 - l**2 + 0*l**2)*(11*l + 2*l + l).\nAnswer: -9*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 3. Let s(i) = 8*i + 8. Give -3*g(q) + s(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - (-4)\/14. Let g be -1 - (f + -2 - 1). Solve -4*y = -2*s - 4, 4*s - 10 = -g*y - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34154009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 14 - 26 = 5*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 54*b - 158. What is w(2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11420 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 3*m**2 - 10*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 218\/10 + (0 - (-4)\/(-5)). Let a = 0 + d. Solve -a*l = -22*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 46*n**2 - 4*n - 7*n**2 + 58*n**2 + 18*n**2.\nAnswer: 115*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -18. Let f = -9 + 14. Suppose -f*o + o + 12 = d. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 8 + 11 + 4*h)*(-146 - 153 + 299 - 2364*h).\nAnswer: -4728*h**2 - 7092*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4*c + 2*c + 4*c - 7*c - 6.\nAnswer: 3*c - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*h**2 + 640\/3 - 32*h - 2\/15*h**3.\nAnswer: -2*(h - 4)*(h + 20)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7*z + 4)*((1 + 11*z - 1)*(0 + 3 - 4) - 2*z - z + z).\nAnswer: 91*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-134 - 82 + 65)*(5*p - 30 + 30 + (p - p - 3*p)*(-3 + 4 + 2))*(-2 - 1 + 4)*(2 + 1 - 2) to the form w + c*p and give c.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*z**4 - 5432*z**3 - 245536 with respect to z.\nAnswer: -24*z**3 - 16296*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -2. Let n = p + -19. Let b = 1 - n. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7244 - -7243.99999975. What is j rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13090197 and 2346?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3468247g to milligrams.\nAnswer: 346.8247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77455 - 34064. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348*f**3*z + 20422*f**3 - 14*f**2*z + 4*f**2 - 1703*f*z + 4*f - 3*z wrt f?\nAnswer: -2088*z + 122532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1119871*k**2 + 652672*k?\nAnswer: -2239742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**3\/3 - 3*n**2\/2 - 4*n + 1. Let d be b(3). Solve 4*q + d*a - 10 - 8 = 0, -q + 3*a - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 bigger than -102.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7466145163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t - 5*t**2 + t**2 + 3*t**2. Suppose 0 = -2*o - 3*y + 15, y + 2 = 3*y. Let r be x(o). Solve -r*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61156419 is divided by 1069?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 77 - 31 - 45. Let x(b) = b**2 + 3. Calculate 15*t(i) - 5*x(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l - 6. Suppose l*h + 18 = h. Let z be (6\/(-54))\/((-69)\/h). Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2875 + -2844. What is the remainder when 91 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-22)*(34 - 4150\/125)*-20\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -965 - 106. Suppose 6*j = -39 - k. Put 2\/7, j, -1 in descending order.\nAnswer: 2\/7, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {n: 1, z: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (321 - 78 - 144)*(u**5 + u**5 - u**5).\nAnswer: 99*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25153, -100814, -226913, -403450, -630425, -907838, -1235689?\nAnswer: -1613978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -90. Calculate the smallest common multiple of t and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3 - 5\/15*0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 2*a + 2. Determine p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -282. Let d = c - -490. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/171 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1293, 2560, 3835, 5118, 6409?\n\"Answer: 4*j**2 + 1255*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77968?\nAnswer: 2, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 84788384*y + 449316878833216.\nAnswer: 4*(y + 10598548)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/9 - 4604*i**3\/9 + 2740082*i**2\/9 - 34714160*i\/3 + 113703200 = 0.\nAnswer: 20, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7690728174\/25075 + 306709. Is v <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*g**4 - g**3 + g**4 - 1 + 0*g**4 to y*g**4 + q*g**2 + m + n*g + k*g**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 9) to base 8\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 3*s**2 - 4*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 104, -4, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {p: 7, q: 1, y: 1, o: 4, i: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2197022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8*28\/42. What is the closest to 2 in -1\/7, v, -1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8879, 17762, 26643, 35522, 44399?\n\"Answer: -c**2 + 8886*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*x - 92997 = -118341 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2311975113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436 by 3.\nAnswer: -436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 47*y - 547. Let v be l(22). Sort -14, 22, v, -1, -2.\nAnswer: -14, -2, -1, v, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -346.9 + 346.9. Which is the third biggest value? (a) 1 (b) -0.4 (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 510?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18201869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231972690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p**2 + 0 + 132*p**2 - 2.\nAnswer: 213*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + 1*sqrt(252))*5)**2.\nAnswer: 3600*sqrt(7) + 38400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/468 and -61\/107328?\nAnswer: 321984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -100*w + 192*w - 92*w + 3*w**2. Let z(k) = -k**2 - k + 1. Let g(d) = -47*d**2 - 4*d + 4. Let y(l) = -g(l) + 4*z(l). Give y(h(s)).\nAnswer: 387*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 5*z**2 - 5*z - 2. Let d be y(6). Suppose 5*f + 85 = 4*v + 29, -d*f = -v + 14. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 2:15 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(2268) + sqrt(6300) + -2)**2.\nAnswer: -480*sqrt(7) + 16151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 6*c - 30. Let d be f(-5). Let u = -42 + d. Let o(x) = -2*x - 1. Let b be o(-3). Let t(w) = w. Let s(q) = -2*q. Give b*s(y) + u*t(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Let x = -34 - -33. Let t be x\/(1 - -4 - 3\/1). Which is the fourth biggest value? (a) y (b) t (c) 1\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**2 - 4. Let t(v) = v**2 - 1. Let f be t(-2). Let z(m) = -12*m**2 - 5. Let l(k) = f*z(k) - 4*c(k). List the prime factors of l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 16*r - 258022 = 268097. List the prime factors of r.\nAnswer: 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -2925217495531?\nAnswer: 2925217495533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3672 + 3669.813. Round y to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*3\/2*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = f - 158, -4*q - f - 119 - 101 = 0. Let j = q - -26. Let l = -5 - j. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 6, d: 1, e: 1, u: 2}. What is prob of picking 1 e and 2 u?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/4*8\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/3 - 352*y\/3 + 1376\/3 = 0. Calculate y.\nAnswer: 4, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 151\/(-648) - (-1)\/(-4). Let x = y + -4358311\/11016. Let t = 396 + x. Which is the nearest to 1? (a) 0.3 (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.2063 + -219.0953. Let k = -183 - j. Let i = 0.21 + k. What is i rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1496 - 1496.5. Which is the smallest value? (a) -2 (b) n (c) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 3*l - 1. What are the prime factors of n(-3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 505783 + 28327 = -d. Is d a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98563.\nAnswer: 98563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -31, -65, -111?\n\"Answer: -6*w**2 - 4*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzvvkj. Give prob of picking 3 k and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47847 - 18\nAnswer: -47865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 1\/5, 21, 4\/3, 8, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - (-5)\/2. Let a be y\/(-7) + 80\/35. Let x = a - -3. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*-2 - (-3 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40650998 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13604.1114 - 13602. Let y = -0.0414 + o. What is y rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-7.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)*(-42)\/28. Let m(l) = -5*l**3 + l**2 - l - 1. Let r(f) = -11*f**3 + f**2 - f - 2. Let s(n) = -7*m(n) + 3*r(n). Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -504329 (base 10) in base 2?\nAnswer: -1111011001000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -300, -342, -412, -516?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*d + 1819 = 499 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + 0. Let x = -2.3 - n. Which is the smallest value? (a) -5 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/60 - 107*i**5\/30 + 217*i**4\/12 - 109*i**3\/3 + 2*i**2 - 57*i. Let g(x) = 0. Calculate x.\nAnswer: -109, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0 + 1\/30*m**5 + 1\/3*m**3 - 5*m**2 - 1\/6*m**4 + 0*m. List the prime factors of s(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(405) + 5 - sqrt(405))) + 2.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-12)\/4*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**3 + 7*o**2 - o. Let n(g) = g**3 + g**2 + g. Determine -5*n(w) + v(w).\nAnswer: 5*w**3 + 2*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 36. What is the highest common factor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11200321233 - -33?\nAnswer: -11200321200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i**2 + i**2 - i**2)*(-1 + 5 - 1) + i**2 - 5*i**2 + i**2 - 4*i**2 + 3*i**2 + 0*i**2 to g + u*i**2 + q*i and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3969 and 39123.\nAnswer: 273861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430077, -430076, -430075, -430074, -430073, -430072?\nAnswer: -430071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2\/(-4) - 0). Suppose -4*u + 407 = -3*i, 200 = 2*u + 2*i - p*i. Suppose -k + 22 + 4 = 0. Calculate the remainder when u is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283929 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/18*(-54)\/(-36)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 664384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*s - 25 = 0, -5*c + 65 = -4*s - 16. Solve 21*w = 8*w + c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, k: 1, h: 4, b: 2}. Give prob of picking 2 h.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 146750, 145386, 144020, 142652, 141282?\n\"Answer: -m**2 - 1361*m + 148112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 + 2*h - 4. Let r be 3 + (14\/161 - (-125)\/(-115)). Determine p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794031 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4823, 19498, 43965, 78230, 122299, 176178, 239873, 313390?\n\"Answer: f**3 + 4890*f**2 - 2*f - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/5)*s)**(-16)*s**0\/s**10)**19)**(-12\/13) assuming s is positive.\nAnswer: s**(36936\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4 + 13 + 9*q + 0*q. Let a(h) = -h**3 - 20*h**2 - 136*h - 310. Let g be a(-7). Let b(u) = 5*u + 5. Give g*b(o) - 3*v(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 690 + -685.87. Let h = f - 0.13. Let a = -143 + 713\/5. Sort 0.3, a, h.\nAnswer: a, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 2*q + 2. Suppose -2*l - 2*l - 24 = -2*r, 5*l + 21 = -2*r. Let w(y) = -y**2 - y + 1. Calculate r*w(p) - k(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - -1. Let w = -22.5 + m. What is the second smallest value in -2\/7, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2026\/(-6612) + (-95)\/(-30) + -3 + 112\/1064?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1, h: 2, g: 7}. What is prob of picking 1 h and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*c = 0, 14*w + 213 = -21*w + c for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**3*r))\/r*r*r\/(r**(-1\/7)*r))\/((r\/((r*r\/r**2)\/r))\/((r*r**(-2\/17))\/r)) assuming r is positive.\nAnswer: r**(-592\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27187 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -5656, 0.03.\nAnswer: -5656, -1\/11, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -1083*d**2\/2 + 276*d + 1202. Differentiate y(c) wrt c.\nAnswer: -1083","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180975?\nAnswer: 3, 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 4*w**2 - 4*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/34798 and 77\/4.\nAnswer: 69596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from zqqqzzqqqqqzz.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/15 - 554*i**2\/5 - 114258*i\/5 + 347778\/5.\nAnswer: -2*(i - 3)*(i + 417)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 3. Let g = 11 - 9. Let k be o(g). Let q(j) be the third derivative of -j**6\/120 + j**4\/24 - j**2. Calculate q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.25 + -0.25. Let t = m + -27.13. Let b = t + 0.1319. Round b to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 1.3. Let j = 5.1 - 5. Let m = -0.4 + 0.6. Which is the second biggest value? (a) j (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 5:06 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 70*r - 4265. Let o be u(61). Let t(l) = 2*l**2 - 3*l + 3. Let z be t(3). Solve -o*b + z = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -0.9 (d) 1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -14, 2, -0.5, 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gulluuuvuvvkuulkluk. What is prob of sequence lkk?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/249678 and -43\/776.\nAnswer: 998712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3696\/4)\/3 + -3. What is the common denominator of 40\/180 - n\/198 and -11\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9820 + 1296247\/132. What is the common denominator of q and -27\/14?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15083 - 2*w + 7389 + 7692.\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*1)\/(663015\/(-353608))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/3 - (-12)\/(-18). Suppose -2*k - 30 = -0*k. Let q = k + 11. Put o, -1, q in increasing order.\nAnswer: q, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q*q\/q**30)**20 assuming q is positive.\nAnswer: q**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-111)\/180 - (-18)\/24. Which is the smallest value? (a) 3 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)*(h**(-1\/19)*h)\/h assuming h is positive.\nAnswer: h**(-20\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 + 2*c**2 - c - 12. Let d(s) = -2*s**3 - s**2 + 6. Determine 5*d(q) + 2*t(q).\nAnswer: -2*q**3 - q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/25 - (-308)\/20. Let y be z\/9 + -3 + (-20)\/(-12). Find h such that -y - 7\/6*h - 1\/2*h**2 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r. Let n be ((-20)\/(-3))\/(204\/153). Solve -n*p - 5*k + 5 = r, -p = p + k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 3*y - 3. Suppose -5*a + 4*a + 2 = 0. Suppose -3*n + 5 - 4 = -a*c, 3*c = -n + 15. Let i(j) = 3*j**2 - 5*j + 5. Determine n*i(r) + 5*s(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 30 + -7 - ((55 - 45) + -44 + -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2288 and 26323.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 3*y**2 + 6*y + 5. Let a be v(5). Suppose -w - 16 = -a. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -21. Let x(y) be the second derivative of -7*y**5\/10 - y**3\/6 - y**2\/2 + 2*y. What is the least common multiple of a and x(-1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7896.56 minus -0.7?\nAnswer: 7897.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -34445\nAnswer: -34433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000152 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 630799919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.8 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7646061 + -59.68536\nAnswer: -7646120.68536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -2. Find the common denominator of 3\/i*(-155)\/(-4) and 79\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -225*c**2 - 70*c - 85. Let p(o) = 16*o**2 + 5*o + 6. Suppose -4*d + 314 = -26. Let b(x) = d*p(x) + 6*l(x). Find the second derivative of b(r) wrt r.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/432 - -2003\/492048. Let y = 43216\/37587 + j. Calculate the common denominator of y and 61\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138617 less than -2079242\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 - 6*w - 11. Let s be z(8). Suppose 2*p + s*v = 7*v + 48, -3*v = p - 8. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/19)\/d**(-12)*d**(-11)*d*d**(-11) assuming d is positive.\nAnswer: d**(-169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -19*q + 408. What is the lowest common multiple of 4 and q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10487 = y, 11279 = 4*r - 2*y + 801. Let u = r - 13147\/5. What is the common denominator of (4\/(-36) - 4\/(-18))*74 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2715\/12)\/((42\/8)\/21)?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 2*j + 8, 4*m - j + 14 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 63*q**2 - 1. Suppose 3*m = -5*f - 9, m - 5 = 3*f + 6. Is p(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5 - 6\/(-12)*(-4 - (-25622)\/115).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -58*s - 64. Let t be i(-10). Suppose -3*j + j = -t. Suppose -3*q + 350 + j = -2*l, 0 = 2*q + 2*l - 422. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010110000101100 + 110?\nAnswer: -10001010110000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -47. Let u = k + 38. Calculate the remainder when u is divided by -2 + 2 - 3 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 212330?\nAnswer: 213001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 7. Let b be (44\/p)\/((-1)\/(-3)). Let i = -14 - b. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52531 + 52531.047331. Round y to three dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 494751 + 256472 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 85*f**3 + 450*f**2 - 720*f.\nAnswer: 5*f*(f - 8)*(f - 6)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - 11 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39533054 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s - 1. Let v = 25 - 29. Sort -2, v, s in increasing order.\nAnswer: v, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 15*g - 26 = 0. What is g?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8323736 divided by -4?\nAnswer: -2080934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 67 - 59. Suppose t*w = -4*d + 2880, 1169 = d + 5*w + 440. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 - 3*t**2 - 17*t - 14. Let r = -88 + 94. Let w be (-9)\/6*(4\/r + 2). What is the tens digit of u(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 74141958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1485596\/31 < -47922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -6, -h = 5*v - 9 - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549.80212 rounded to 1 dp?\nAnswer: -1549.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {y: 1, f: 1, v: 2, i: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*o + 3*q, -5*o - 5*q - 3 - 2 = 0. Suppose p - o*f - 396 = 0, -p - 3*p = f - 1635. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r - 308. Give d(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7*c - 5*n - 6, c + n = 0. Solve 2*r - 1 = c*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f**2 - 3*f + 1. Determine r(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40 (b) -3 (c) -2\/7 (d) 2\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -86.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/275*5*1. What is the biggest value in -0.5, z, -1.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-121) - (20 + 629\/(-187))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, 13, -24\/7, -254.77?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 995*b**2 - 1157*b**2 + 3*b**3 + 6*b**4 - 2*b - 3*b**3 - 1 in the form j*b**4 + x*b**3 + a*b + q*b**2 + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 3135\/62 and -20.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 313 = 3*m, 3*j = j + 5*m + 150. Solve j*w + 112 = 51*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 9*z + 5. Give i(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((16 - -12) + -22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -349119.4 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746 divided by -17?\nAnswer: 1746\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -802 - -823. What is the highest common divisor of 1295 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 9 = 3*s. Solve -5*o + 10 = 2*x, 4*x = -o - s*o + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11945, -11637, -11333, -11033, -10737?\nAnswer: -10445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8554 and 145324.\nAnswer: 13224484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4459 and 55\/52.\nAnswer: 17836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-648)\/(-30) + (-2)\/(-5). Suppose -3*i - 4*d + 35 = 0, 0 = 2*i + 4*d - u - 8. Solve -i*k - 5*c + 10 = 0, 1 - 9 = 3*k - 4*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w + 60. What is the tens digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-78)\/2 + 2)*1. Let z = a - -63. Suppose -t - 3*t - 4*y + 40 = 0, z = 2*t + 5*y. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*z + 776*z**2 - 776*z**2 + 919*z + 74*z**3.\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 12, -3*o + 3 - 21 = 3*m. Let r be (-1 + 7)\/(m\/(-4)). Is 10 a factor of r\/(-20) - (-52)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298566161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -753*r**3 + 1199*r**2 - 352. What is the second derivative of z(k) wrt k?\nAnswer: -4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.181359 rounded to 1 decimal place?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1568, 1567, 1566?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -364, 2480, 7220, 13856?\n\"Answer: 948*v**2 - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1888*a - 1980.\nAnswer: 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57535025, 57535035, 57535045, 57535055?\nAnswer: 57535065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0534 - 1721869299.\nAnswer: -1721869298.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/(1\/(-3)). Let f(d) = 2*d**2 - 2*d + 2 - d**w + 1. Let z be f(2). Solve 0*b = -b - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146446?\nAnswer: 2, 37, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -806499 divided by 9?\nAnswer: -89611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -75 + 81 + 0 + -30?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:44 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 3\/7 (c) -1020\/77 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 58*v + 186. What is k(32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 553 + 558. What is the greatest common divisor of x and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 4*o - 26*o**2 + 19*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j + 12*j - 5 + 20*j**2 + 4*j. List the prime factors of k(2).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5156)\/(-6445)*(-4 + 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5705 is divided by 497?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 670863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1529535 and 18.\nAnswer: 9177210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 52190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285, 0.2, 2.\nAnswer: -285, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 325, 318, 307, 292, 273, 250, 223?\n\"Answer: -2*l**2 - l + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.0837ms in seconds?\nAnswer: 0.7930837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let k(v) = -4*v**3 - 3*v**2 - 74*v - 667. Let z(d) = k(d) + 3*w(d). What is the first derivative of z(a) wrt a?\nAnswer: -12*a**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, 74, -6, 3, 22 in descending order.\nAnswer: 74, 22, 3, 1, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/31239486 and -43\/31239486.\nAnswer: 31239486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8485 and 3931949.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11325*u - 33264 with respect to u.\nAnswer: 11325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*w = 666*w - 334*w + 95 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 72, 2, -441, 0 in increasing order.\nAnswer: -441, 0, 2, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 at least as big as 6010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*z**3 + 224*z**3 - 50*z**3 - 113*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k. Suppose 4*y + k + 16 = 0, -b - 2*y - 8 = 0. Suppose b = 12*r - 2*r - 21290. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*j + 34, 12291 - 12317 = -5*j - 3*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213748 is divided by 1163?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4884993556?\nAnswer: 2, 19, 5717, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26\/(-2)*(2 - (-150)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)*(-9 - -9). Suppose -5*g + 31 = 3*c + 10, 3*c - g = 3. Suppose 3*s = -6, 5*f - c*s = -3 - 3. Put 5, f, q in ascending order.\nAnswer: f, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 37. Put q, 0.2, 1\/2 in decreasing order.\nAnswer: q, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*a + 7, -3*g + g + 3*a + 23 = 0. Let t(n) = -17*n + 12*n - 4 + g*n. Let w = -336 - -333. Calculate t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 46*j + 28. What is o(-17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - 0.1. Let y = g + 0.4. Let q = 0.02 - -0.38. Which is the third smallest value? (a) y (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-14)\/(-147) - (-13432)\/84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8) + 317 + 151179\/(-644).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 + 6*p + 3. Let h be b(6). Suppose h*y - 9 = 42. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10492, 10489, 10436, 10309, 10084, 9737, 9244, 8581?\nAnswer: 7724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + ((sqrt(2) + -4)*2 - sqrt(2)) - sqrt(24)\/(sqrt(300) - sqrt(12)).\nAnswer: -8 + 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 - 20?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**3*s*u**3 + 3*a**3*u**2 - a**2*s**2*u**2 + 14*a**2*s**2 + 499*a*s**2*u**3 - 5*a*s**2*u**2 + 3*a*s**2 wrt u.\nAnswer: -18*a**3*s + 2994*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11203613 (base 7) in base 14?\nAnswer: 1b5a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 0.3, 29, 44, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(-4*sqrt(252) - sqrt(252) - sqrt(7)))**2 - ((4 + sqrt(19)*4 - sqrt(19)) + 0).\nAnswer: -3*sqrt(19) - 3825\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 830 - 886. Which is the nearest to m? (a) -0.1 (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 834 - 1183.8. Let v = j - -350. Let r = 6 + -5.8. What is the closest to r in 5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 6*q - 9 = 0, 69*o - 72*o + 2*q = 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**7\/840 - 7*c**6\/360 + 7*c**5\/120 - c**4\/6 - 3*c**3 - 40. Let r(s) be the third derivative of d(s). Determine r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g - 38*g**2 + 15*g**2 + 17*g**2 + 10*g**2 to n*g + l*g**2 + h and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*c - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*c + 233*c = 162. Suppose -5*g = k - 236, -2*k = -4*g - c - 338. What are the prime factors of k?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**4 - 105746*v**3 + 497994*v**2 + 10 wrt v?\nAnswer: -96*v - 634476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(-470)*2560\/192?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/9*((-4)\/((-24)\/45))\/(1551\/(-3102))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 10. Let a(z) = -2*z - z**j + 2*z. Let m(f) be the second derivative of f**4\/12 - 1856*f. Calculate a(m(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -457\/69 + 183\/23. Let f(o) be the second derivative of 0*o**3 + s*o**2 - 1\/6*o**4 - 1\/30*o**5 + 0 + 18*o. What is z in f(z) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 21. Are 0 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxayezn. Give prob of sequence za.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 6:25 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 - 1.8. Let i = 0 - x. Let w = i - 2.6. Which is the biggest value? (a) w (b) 5 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734 divided by -8.\nAnswer: -367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/((-3)\/((-18)\/6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(1900) + 2) + -1*((-1 + sqrt(1900) - sqrt(1900)) + 3 + sqrt(1900)).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20)*(-10)\/(-72)*9)\/((-174)\/(-12))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 830.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13203562.\nAnswer: 2, 6601781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30690*q - 30679*q + 61389*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-63)*(-3)\/(-4)*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 24*g = 5*g + 170 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 k when four letters picked without replacement from eehhthjehkkke.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111*-0.2706.\nAnswer: 30.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1152) + sqrt(1152) + sqrt(1152)*-2)*-5)\/((sqrt(6)*-4 - sqrt(6))*-3 + (sqrt(66)\/(sqrt(44)\/sqrt(4)) - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 - 94 - 101 - 1664*q**2.\nAnswer: -1664*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-304)\/(-266))\/((-21)\/441*4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -5*b + 3*z + 19915, -2*b - 5*z + 7947 = 0. Let u = b - 23855\/6. Find the common denominator of 35\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.75 - -0.25. Let m = f - 7. Let w = -23 - -24. Sort m, w, -0.1 in decreasing order.\nAnswer: m, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 20*k**2 - 25*k + 111. Is t(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 3*d - 4, 0 = -3*u + 2*d - 4. Let c(j) be the third derivative of u + 1\/80*j**5 + 1\/32*j**4 + 0*j**3 + 0*j + 2*j**2. Factor c(h).\nAnswer: 3*h*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x - 31 + 31 in the form t + l*x and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1456057 and 0.4?\nAnswer: 582422.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q - 5. What is the second smallest value in 7, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501 - 507 = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130730520 + -4?\nAnswer: 130730514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -19. Suppose f = -5*q - 8 + 1, 0 = -3*f - q + k. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 400*w. Let y(t) = 23*t**2. What is y(r(h))?\nAnswer: 3680000*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.037, -4, -38, 13, -3?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2172 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0*f + 0 + 1\/60*f**5 - 9*f**2 + 0*f**4 + 0*f**3. Let r(u) = -4*u**2. Determine i(r(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -c - 2*v, -25 = -2*c + 3*v. Suppose 44*m = 43*m + c. Solve 0 = 9*k - 7 - m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from {i: 1, h: 9, a: 4}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6141 + -15379?\nAnswer: -c238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000927 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 51 - 27. What is the remainder when l - 7 - (302*-1 - 0) is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/2615 or 193?\nAnswer: 22\/2615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/34782 and -131\/1466080?\nAnswer: 136345440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -322*n**2 - 138. Let z(h) = 19*h**2 + 8. Let p(m) = 4*o(m) + 69*z(m). Calculate p(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*s + 16 = 784*s, 2*f - 3*s = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**6 - 967*l**5 + l**4 - 2*l**2 - 450*l + 2 wrt l.\nAnswer: 840*l**3 - 58020*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g**2 - 11*g + 15. Let y be n(3). Solve -17*w + 20*w + 9 = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 75*v**2 - 4449*v\/4 - 2373\/2.\nAnswer: 3*(v - 14)*(v + 1)*(v + 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - 12213?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105\/19 or 7?\nAnswer: 105\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 92*v**2 + 46*v - 94. Determine w(2).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ca (base 16) in base 4?\nAnswer: 33022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 15, 34 = -4*d - 5*g - 85. Let k = d + 36. Suppose 5*m + 4*y - 588 = 0, k = 2*y - 4*y - 6. What is the greatest common factor of 48 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 688*j. Let k(x) = -747845*x. Determine y(k(t)).\nAnswer: -514517360*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - 2 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9081220.\nAnswer: 2, 5, 454061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, 3792.\nAnswer: -5, 0, 12, 3792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c - 4 = -3*u, 0 = 3*u + 3*c - 6. Suppose 4*f - 6*f - 5*t + 347 = 0, -u*f + 661 = -t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:45 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 3*p + 26, 3*p = -l + 14. Solve 0*u + l = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 - 190. Is 4544 + n\/(36\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55759314 - -1.8\nAnswer: 55759315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -281*y + 8928 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = 6*t - 415. Suppose -k + 4*k = 12. Suppose 2*n + 2*o = -0*o - 8, -k*o = n + 16. Put t, 5, n in ascending order.\nAnswer: t, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmlm when four letters picked without replacement from {f: 2, t: 7, l: 1, m: 4, b: 1, j: 2}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(50 - 858\/11).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-42))\/((-16)\/56). Let m(b) be the second derivative of 0 + 17\/12*b**4 - b**2 + 0*b**3 - v*b. What is the first derivative of m(j) wrt j?\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2315 - -2437. What is the greatest common divisor of b and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -1395, -4562, -10699, -20796, -35843?\nAnswer: -56830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7 = y. Let h(b) = -b**2 - 11*b - 5. What is the units digit of h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.883 plus -5?\nAnswer: -6.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -22. Suppose -o + 0 = -3. Let u(h) = 2*h**2 + 8*h - 33. Let w be u(o). What is the greatest common factor of r and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-21))\/(10\/(-270)). Put -15, 4\/9, t in increasing order.\nAnswer: -15, t, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005810867515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -253.84, 2\/45 in ascending order.\nAnswer: -253.84, -2, 2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 2, o: 2, y: 1, d: 1}. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -36. Let v be 61\/c - 6\/(-12). Let u = -31 + v. Solve u = -0*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + u. Let x be m(-1). Let f = 318 - x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (3 + -5 + sqrt(448))**2) + 4 + 3 - (2 + (sqrt(448) - sqrt(448)*-5) + -5 + sqrt(448) + -4).\nAnswer: -438 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/4 - (792\/(-16))\/11) + 3. Solve 3*l - 8 = -j, 31 = 4*j + s*l + 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 104*s**3 - 436*s**2 - 336*s.\nAnswer: -4*s*(s + 1)*(s + 4)*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2588 + -2575. Solve -10*v = 17 + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 + 234 + -123 - (-41 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (-6)\/(-2) + (24\/4 - -73)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1168, 10193, 34840, 82921, 162248, 280633?\nAnswer: 445888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44420203?\nAnswer: 44420203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35320 and 28600?\nAnswer: 25253800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 28. Let j be h(7). Which is smaller: j or -1\/183?\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*m - 958*m = -2*r + 7, -10 = -5*r. Solve 3*n = 10*y - 11*y - 1, y - m*n = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65.17 * 0.169.\nAnswer: 11.01373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z - 82. Let u be k(-21). Let w be -3*((-2)\/(-7) + u\/(-252)). Which is the nearest to 5? (a) 3 (b) w (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 - 1 = 0. Find the third derivative of 4*w**4 + 4*w**2 - 2*w**j + 0*w**2 wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*c = 81 + 1149. Let a(r) be the third derivative of 0 + c*r**3 + 0*r - 9*r**2 + 3\/5*r**5 + 0*r**4. Differentiate a(m) with respect to m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 4*v**2 - v - 12. List the prime factors of h(-7).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 874, 1309, 1744?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 349 or 1397\/4?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:57 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9*k - 7522 = 0, 15158 = -a + 5*a - k. What is the remainder when a is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uur when three letters picked without replacement from {l: 3, i: 2, r: 3, v: 1, n: 2, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98976 + 165895. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -332*z + 377. Let b be q(1). Solve -b = -40*k - 45 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6199402*f**2. Let i(h) = 2*h. Give i(m(u)).\nAnswer: -12398804*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3355017 is divided by 1090.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622\/38 - 58 - -65?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 3 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.22 + 0.865. Let i = -0.055 - d. Sort 2\/13, -0.4, 4, i in increasing order.\nAnswer: -0.4, 2\/13, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.1. Let o = l - -0.1. Let m = o + -1.5. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -1\/2, -1213 in increasing order.\nAnswer: -1213, -0.7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 16*w**2 - 21*w - 103. Give d(-17).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 896*r**3 - 6272*r**2 - 17*r + 160. Determine a(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/72 + 9*y**3\/4 - 41*y**2\/6 - 138*y. Factor q(s).\nAnswer: (s - 1)*(s + 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t**3 + 8*t**2 - 22*t + 78. Let p be b(6). Suppose -9*u - p = -3897. Calculate the remainder when (-453)\/(-2) - 1\/(-2) is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/5)*d*(d*d**(-3\/7)*d)\/d*d)**(-6) assuming d is positive.\nAnswer: d**(-792\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 58 = 98. What is the highest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*q**4 + d*q - 305*d + 350*q**5 + 20*q wrt q.\nAnswer: 12*d*q**2 + 7000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 23.965.\nAnswer: 28.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 2*g**4\/3 + 101*g - 1. Let y(f) = f + 45. What is n(y(q))?\nAnswer: 8*q**2 + 720*q + 16200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.08, 25, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 4, 18, 0, 220, -2 in decreasing order.\nAnswer: 220, 18, 6, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159 - 57. Let k be q\/27 + 4\/18. Suppose -k*i = -i - 15, -3*i = 3*g - 498. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*k - 23. Let r = 10 + k. List the prime factors of (((-102)\/r)\/((-1)\/6))\/1.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2918316, -11673408, -26265228, -46693776, -72959052, -105061056?\nAnswer: -142999788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15519 = 23*h. Let x = h + 1369. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2064, 1957, 1850?\n\"Answer: -107*n + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f - 18. Let t(r) = 5 - 2*r - 2 - 2. What are the prime factors of t(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62595634 and 2021.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 298*j**2 + 2*j + 136. Let w(d) = -532*d. Give w(m(a)).\nAnswer: -158536*a**2 - 1064*a - 72352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcqv when four letters picked without replacement from jcqqcjvjjxqjvxcj.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 + 165656*l**2\/7 - 489963110*l - 20584414668\/7 = 0. Calculate l.\nAnswer: -6, 41417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = -2*l + 4, 4*l = -8. Suppose 5*h + 283 = 3*q, k*h + q = -175 - 104. Let b be ((-1)\/4)\/(7\/h). Is 4\/5 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 d when three letters picked without replacement from {t: 12, x: 3, d: 1}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 + p + 4. Let m be w(3). Let y(n) = n**2 - 8*n - 4. What is y(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + l + 18. Let v(b) = -2*b**2 + b + 16. Determine 6*k(n) - 7*v(n).\nAnswer: 2*n**2 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -137, -133?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/(-3))\/(-34)*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(1*-9*(-274)\/1233)\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907417137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405\/(-54)*(-1072)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -10 - ((-72)\/54 + (10 - 1)).\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -521.\nAnswer: -17\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2744179 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -153 and 613375?\nAnswer: -93846375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - p)*(3*p - 2 + 2) - 2*p + 2*p**2 + 2*p)*(9*p - 10*p + 2 + 8*p).\nAnswer: -7*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 + 12723. Let h(q) = -q. What is h(z(p))?\nAnswer: 4*p**2 - 12723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -453 and -0.392.\nAnswer: 177.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763411205?\nAnswer: 5, 53, 2880797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 710837, -1\/4, -1\/19 in decreasing order.\nAnswer: 710837, -1\/19, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/5 + 57*s**2\/5 + 626*s\/5 - 936 = 0. What is s?\nAnswer: -36, -26, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 970534549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/32 + (-19612)\/(-32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, i: 4, u: 1, c: 1, o: 5}. What is prob of sequence cumo?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 5*j**2 + 15*j**2 + 10*j**2 as x + k*j**2 + g*j and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3129 + 2.\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15582, 15592, 15606, 15624, 15646, 15672?\nAnswer: 15702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 8\/24*33. Solve 4*r - 2*h - 2 = 0, 22 = m*r + 4*h + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1936)*-3)\/sqrt(8).\nAnswer: -33*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.53?\nAnswer: -10.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101508?\nAnswer: 2, 3, 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -6, -2\/9, 16?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = 31*c + 624. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:54 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13167 and 195720.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/7*s**3 - 5\/7*s + 4\/7*s**2 + 0 = 0. What is s?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 11*a. Give q(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 10, -f + 324*y - 3 = 323*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 19. Let t = -24 - -54. Let u = -17 + t. Calculate the highest common factor of b and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -211*k**3 - 6*k**2 + 4*k - 3. Let u(n) = -212*n**3 - 8*n**2 + 5*n - 4. Give -4*q(y) + 3*u(y).\nAnswer: 208*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 64*j. Let y(k) = -114 - 106 + 334 - 5*k - 114. What is y(d(o))?\nAnswer: -5*o**2 + 320*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from yxwrwmffyw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11871 - 11871 + 5*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x + 127 = 279. Let v(p) = -p**2 + 2*p - 4. Let f(t) = -2*t**2 + 4*t - 7. Let o(r) = -3*f(r) + 5*v(r). What is o(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 + 9 = -2*a, -3*a - 9 = 0. Suppose 3*g + 2*g - 20 = b. Solve 6 = -g*p - 3*i, -3*i + 4 = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than or equal to -0.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -75365553 - 2927?\nAnswer: -75368480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -23. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140100495?\nAnswer: 3, 5, 97, 96289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855786.\nAnswer: 2, 3, 31, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 32. What is p(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1472*t + 539*t + 424*t + 509*t - 8*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.4 (c) -2.3 (d) 3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 245. Let s = 346 + -6576\/19. Let r = 15\/14 - 81\/56. Which is the third biggest value? (a) s (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((2 - 5) + (-2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-1 + (-9)\/(-2)). Suppose -5*x + p + 10 - 19 = 0, -x - 9 = -2*p. Which is the fourth smallest value? (a) x (b) -5\/4 (c) j (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3881*w**2 - 5585*w wrt w.\nAnswer: 7762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let g(v) = -8*v - 2*v**3 + 6*v**3 - s*v**3 + 1 + 7*v**2. Let u be g(-8). What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221711293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(88)\/sqrt(8) + 5 + sqrt(11) - sqrt(11))**2 + sqrt(11))*4.\nAnswer: -132*sqrt(11) - 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 243*d**2\/2 + 147*d + 225. What is the first derivative of m(w) wrt w?\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 275025*a**2 - 632486 wrt a.\nAnswer: 550050*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*k + 9, 2*t - 15*k + 20*k + 3 = 0. Suppose w - 3361 = -5*b, -2*b + t*b = -3*w + 2680. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:11 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 336 = 2*c. Suppose 2*k + c = 5*x, 60 = x + 2*k - 0*k. Let j = -7 + 13. Calculate the highest common factor of x and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29878057849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-567)\/(-28))\/(-27))\/((-12)\/8*3\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2664 and 61\/19271376?\nAnswer: 19271376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**5\/25 - 3*f**4\/10 + 13*f**3\/15 - 6*f**2\/5 + 4*f\/5 - 7. Suppose x(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 + 1009 - 281 = 120*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5169*g**5 - 2*g**4 - g**2 - 315*g + 290?\nAnswer: 310140*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 470321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 229300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4 + y + 2 + 0*y. Suppose -s - 3 = 0, s + 1 = -3*q + 13. What is the units digit of k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61415 - 61410. Suppose -35\/3*w**2 - s*w**3 - 8\/3 - 10*w - 2\/3*w**4 = 0. Calculate w.\nAnswer: -4, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2139 less than or equal to 228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-5)\/6)*(-17)\/408*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-621)\/3)\/(-13 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 441*a + 438*a + 9 = 0, -a + 20 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y - y)*(17*y + 309 - 309) to the form f*y**2 + u*y + z and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = x - 85, 3*h = 4*x - 374. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/8306459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28221379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 + 0.04. What is the second biggest value in 2, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 2*j, -j = -0*j + 3*c - 17. Let x = 365 - 372. What is the units digit of 2 - (x + j - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 26. Let k = d - 10. Solve -k*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 - -14. Let w = j + -53. Let p = -64 + w. What is the third smallest value in p, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -53*s**5\/20 + 17*s**4\/6 - s + 37. Find the third derivative of g(k) wrt k.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 5*x + 2. Let u be d(-5). Let i be (-1)\/5 - (-147)\/35. Suppose -5*j + i = -11. Is u smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 70*u + 48*u**4 - 3*u**3 - 1 + u**3 + 49*u**4 - 96*u**4 as x*u + j*u**4 + d + z*u**2 + c*u**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 7*h + 1 - 7*h - 8. Determine c(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -78*b. Let p(f) = 13*f**2 - 5*f. Determine t(p(v)).\nAnswer: -1014*v**2 + 390*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*d - 4 = 0, 5*l - 2*d + 0*d = 10. What is the second derivative of 6*r + 2*r**2 - r**l + 0*r**2 + 0*r**2 wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63324.05 micrometers in kilometers?\nAnswer: 0.00006332405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9577 + -9979.1. Let b = 383 + d. What is b rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/69750128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 8*f - f - 2. Let q = -131 - -657\/5. What is the nearest to f in -1, 5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 21*a + 8. What is q(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10, z = 2*k - 4*z. Let t = 884 - 812. Suppose 12 - t = -k*o. What is the remainder when 45 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 v when three letters picked without replacement from vqvt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*3\/21)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 59050 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/5 + 10038*n - 19192320 = 0. What is n?\nAnswer: -26880, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 599760 and 20825?\nAnswer: 2998800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1390*w**3 + 48*w**2 + 15*w - 15. Let o(l) = -694*l**3 + 22*l**2 + 7*l - 7. Calculate 13*o(s) - 6*q(s).\nAnswer: -682*s**3 - 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skcltbt. Give prob of picking 1 l, 1 c, and 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(1\/3*-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -766, 5, 4?\nAnswer: -766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + 0.5. Let v = 0.22 - 0.02. What is the biggest value in -4\/9, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 137\/7 + 60\/(-105).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813091418 to the power of 1\/2, to the nearest integer?\nAnswer: 69376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -42373.8508 to the nearest integer.\nAnswer: -42374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/5 + 7*u**2\/5 - 14*u\/5 + 8\/5 = 0. What is u?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5 = -x, 4 = -2*k + 4*x. Suppose k = -0*b + 2*b. Solve -23 = 5*i - 0*t + 2*t, b = -i - 5*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 + -9.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 13, -4, -47, 0, -5 in increasing order.\nAnswer: -47, -10, -5, -4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3225 + 35?\nAnswer: -3150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 5. Let o be (6\/y)\/3*-6. Solve -2*a - 25 = o*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.087, -0.18, -52 in decreasing order.\nAnswer: 0.087, -0.18, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0.15. Suppose 11*k - 8*k - 18 = 0. Let g(i) = i**2 - 7*i + 3. Let f be g(k). What is the closest to -1\/4 in 5, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -216?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12607?\nAnswer: 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -70.7\nAnswer: 2.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131410 - -634810. Round o to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*z - 21 = 0, -317*x + 4*z = -318*x - 20 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 3, 22, 53, 96, 151, 218?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2164382823 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2994509877.1+0.044\nAnswer: -2994509877.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/60)\/((-5)\/120)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, e: 8, u: 1, d: 1, z: 5}. What is prob of sequence dea?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k - 12. Suppose 3*w - 31 - 4 = 4*s, -5*s + w - 41 = 0. Let r be y(s). Suppose -6*d + r = -2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 5, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + 5 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1176083, -1175786, -1175489, -1175192, -1174895, -1174598?\nAnswer: -1174301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from uhozoozuhuuuzhuhuz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -973\/284 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 divided by -96.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7300804 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981727 by 3.\nAnswer: -981727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 + -158. Which is bigger: 752 or g?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*z + 659*z - 58 + 58.\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*z - 60, -43 = -z + 2*d - 54 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288114611 to the nearest integer?\nAnswer: 16974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320*w - 542731 = 346*w - 9898*w + 165221 for w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165334908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g + 4*q, -g + q = -q + 4. Let p be (-1)\/3 + (-2)\/g. Factor p - 3\/5*r**3 - 1\/5*r + 4\/5*r**2.\nAnswer: -r*(r - 1)*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 - 9*j**3 - 61*j**2 - 1348*j + 4 wrt j?\nAnswer: 24*j**2 - 54*j - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8406154 millilitres?\nAnswer: 0.0008406154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8*o - 3*o. Suppose o = 5*p + 10 - 25. Solve -4 = p*f - 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = -s - 3*n, 4*s + 2*n - 40 = 0. Calculate the highest common factor of 44 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 46. Suppose -3*n + 3*c + 54 = 0, -4*n + n - c = -x. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1787*h - 7711. What is g(4)?\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -142, -270, -502, -874, -1422?\n\"Answer: -6*p**3 - 16*p**2 - 38*p - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.18 - 3.18. Let k be (-2)\/(-7) - 15\/126. Which is the closest to 2? (a) t (b) k (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211451736 to the power of 1\/2, to the nearest integer?\nAnswer: 14541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 12*z - 6. Let a = -28 + 16. Let q be a - (6\/(-3))\/2. Does 3 divide o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -23. Suppose -z*w - 2*p = -10, -4*p + 3*p - 1 = 0. Solve -q + 22 = -5*g, w*g + 26 = -4*q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 204, 226, 248?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*g = -0*b + 980, -4*g = 3*b - 599. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -5, -6.\nAnswer: -6, -5, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/10 - -2)\/((-18)\/(-15)). Suppose 2 = -4*i - 6, 4*i = -4*o - 12. Which is the third smallest value? (a) -0.1 (b) o (c) q (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-17\/3))\/h*h)**(1\/56)*h**(-1\/55)\/(h*h**(-1\/29)) assuming h is positive.\nAnswer: h**(-57923\/66990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 925305*q**2. Let a(y) = 17*y**2. Determine a(h(r)).\nAnswer: 14555218831425*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182*b*m**3 - 59*m**3 wrt b.\nAnswer: 182*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 0.162034.\nAnswer: -1\/2, 0.162034, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -575564 (base 8) in base 13?\nAnswer: -6ac62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**3 + 3*u**3 - 2*u**3)*(u + u + 2*u) - 19*u**4 - 4*u**4 - 4*u**4 - 2*u**4 + 1 - 1 as f*u**4 + s*u + p*u**3 + h*u**2 + m and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10589*c - 4 = -10592*c - 16*q, 5*c + 3*q = -17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:58 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89\/58 - -1\/29. Which is the second smallest value? (a) -4\/3 (b) -5 (c) -3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 451*u + 217 + 234 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 1, d: 1, q: 1, e: 1, f: 2}. What is prob of sequence fcf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143.93 + 1.\nAnswer: 144.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 2*j. Let s(a) = -2*a**2 - 8*a + 1. Let g(i) = 6*i**2 + 37*i - 4. Let o(x) = -g(x) - 4*s(x). Suppose -q = -1 + 6. What is q*u(f) - 2*o(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = -52 + 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-8)*x*x**11*x*x)\/((x\/(x\/x**(-10))*x)\/x*x**9) assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 424, 2265, 6586, 14413, 26772?\n\"Answer: 171*q**3 + 214*q**2 + 2*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*t = -201*t - 84*t + 68448. What is the greatest common factor of t and 3726?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 56*j**3 + 463*j - 1386. What is k(3)?\nAnswer: 1515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37\/(-2) + 16)*-2. Solve 0*c + 2*c + 2*u = 0, -c - w*u = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 + 320*p**3 - 318*p**3 - 9*p**2 + 614*p in the form x*p**2 + m*p**3 + g*p + n and give g.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**5 + o**4 + o**3 + o**2 - o + 1. Let f(g) = 16*g**5 - 26*g**4 + 4*g**3 - 14*g**2 + 10*g - 10. Let h(k) = -f(k) - 10*l(k). Factor h(a).\nAnswer: -2*a**2*(a - 1)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046388 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 3, 4, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - (-2 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57833 (b) -88 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/q)\/(q*q\/(q*q**(-1\/3)*q))*q**(-1)\/(q*(q**(-1\/3)*q)\/q) assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1432 - 1553 = 0. Let c = 80609\/27 + g. Are c and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {i: 1, e: 2, d: 4, g: 1, z: 4, c: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + 4*3*(-3 + sqrt(891) + 0 + 3)*2)**2.\nAnswer: -2592*sqrt(11) + 513252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 69 = 0. Suppose -p + y = -3. What is the highest common divisor of p and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:17 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4587*z = -4585*z. Solve -3*m + 3 = z, 18*m - 21*m + 1 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-17 - -3)\/14. Solve 2 = -2*u - 4*a, 4*a - t = 3*u + 7*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 20540*y.\nAnswer: -4*y*(y - 5135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/((851\/230)\/37).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - n = -0*v - 6, 0 = 4*v + n + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44394, 41558, 38722, 35886?\n\"Answer: -2836*n + 47230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118561435 a multiple of 3643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*z - 582*z + 1747*z - 587*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-75)\/10)*30\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*g**2*s**2 - 53*g**2*s - 15*g**2 wrt s.\nAnswer: 350*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19183595 to the power of 1\/2, to the nearest integer?\nAnswer: 4380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:09 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 2*z - 2*o, -4*z - o + 478 = o. Let i = 150 - z. What is the remainder when i is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120666359 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 6661994.\nAnswer: 6661997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -24. Let s be (-3)\/a + 21\/6. Is (-8 + s)\/((-3)\/127) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - 2*c + 2. Let g be x(2). Let j be 0\/((-2 + -2)\/g). Let r be (-60)\/25 + (3 - 1). Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t. Let r be s(-2). Let a = 39 - r. Solve 4*m + 11 = -o, 3*o - 3*m = a*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 9. Suppose -7*u = -4*u - 12. Let a be f(u). Suppose -a*t - 60 = t. Put 0, t, 4 in ascending order.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 6) to base 7.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-2))\/((-2)\/4). Let l = 1 + t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*s**4 + 33*s**2 - 2*s wrt s.\nAnswer: 3168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180 + 2454737?\nAnswer: 2454547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -4*v**5\/5 - 11*v**3\/3 + 49*v**2\/2 - 2*v + 16. What is the second derivative of m(p) wrt p?\nAnswer: -48*p**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43326?\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086790884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + 3 - 39303*t**3 + 19652*t**3 + 3*t**4 + 6*t**2 + 19653*t**3 + 1 as p*t + h*t**3 + g*t**2 + i*t**4 + j and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-96))\/((-1492)\/(-23872)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*4.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 21852*v**2 + 133939968*v + 153911362304.\nAnswer: (v + 1484)*(v + 10184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330121792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*n + 29 - 29)*(2 - 2 - 3) + 2*n - 3*n - n.\nAnswer: 55*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31430716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(-5)\/15*-3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 5*k**4\/4 - 10*k**3\/3 - 7*k - 19. Let h(q) = 2*q**3 - 5*q**2 - 3. Let b(i) = 14*h(i) - 6*w(i). Factor b(m).\nAnswer: -2*m**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 3*y**2 - y. Let r be 38\/(-57)*(5 - -1). Give v(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 77*f - 560. Let s(z) = 7*z - 51. Let d(x) = -5*n(x) + 56*s(x). Let u be d(9). Put 5, -5, u in decreasing order.\nAnswer: u, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 4 - 7 + 8*k + 2 + 13 = 0. Calculate k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 5c19093?\nAnswer: 5c19094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8877*k - 402 + 218 + 184)*(0*k**2 + 0*k**2 + k**2) as m*k**2 + f*k + t + o*k**3 and give o.\nAnswer: -8877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-157)\/4710)\/(1\/3))\/(1\/15)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*(54\/(-4212))\/(1*(-4)\/12)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 440. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 67*w**2 - 1155*w - 1089.\nAnswer: -(w + 1)*(w + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - u - 2 = 0, -491 = -5*m - 2*u - 473 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, l: 6}. What is prob of picking 1 l and 3 k?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322302 - 3?\nAnswer: -322305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 270220997 divided by 6\nAnswer: 270220997\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 400883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 8:01 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h**3 - 5\/2*h**2 + 9 - h**4 + 5*h. Let w(i) = -i + 1. Calculate -a(r) + 5*w(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58997094929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7305, -7384, -7449, -7494, -7513, -7500, -7449, -7354?\nAnswer: -7209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98226193 by -373.\nAnswer: -263341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 23*k**6\/40 + k**4\/2 + k**3\/2 + 28*k**2 - 1. Find the second derivative of q(y) wrt y.\nAnswer: 414*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33b76 (base 12) in base 11?\nAnswer: 47988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -10 (b) -2\/5 (c) -1.88 (d) -8\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 10 + -1 - 1*-1?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2740 and 19096430?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1247*j + 4516. What is the tens digit of p(61)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 3*a - 1. Let g be x(-5). Suppose -3*q + 15 = 0, -31 = 3*m - 5*q - g. Let d be (1\/(-4))\/(6\/(-8)). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*a - 2)*((-2*a**2 + 0*a**2 + 0*a**2)*(0 + 1 - 2) + 0*a + 0*a + a**2) as h*a**3 + u*a + v*a**2 + d and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.13 (c) 0.3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1 = 5*w, 9*d - 13*d = 5*w - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/99 + 50\/(-88)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13965442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 22*g + 4. Let j(u) = 23*u + 4. Let d(z) = 3*j(z) - 4*v(z). What is the remainder when d(-4) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808, 844, 882, 922, 964?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -11*n + w + 47, -w + 109 = 4*n. Suppose -n*q = -13 + 65. Let o(y) = 14*y + 1. Give o(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134506 + -80131. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 36*o. Let z(n) = 3*n - 33 - 53 + 86. Calculate z(u(k)).\nAnswer: 108*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4\/7, -2, 27?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as 15203.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247660, -247648, -247624, -247582, -247516, -247420, -247288, -247114?\nAnswer: -246892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (8 + -4)) + (-2)\/2. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3\/52, -5, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*f + 40 = 6*o, -f = 3*o - 68. Let k = -21 + o. Solve 0 = 8*h - k*h + x + 7, 2*x = h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*k - 14796 = -145*k. Is k a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 478852.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(117\/(-1404) + 3277\/12)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) 0.7 (c) -1\/4 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-20)*((-826)\/8673)\/((-2)\/(-24))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*(216\/(-15))\/(-8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*v + 177*v - 112 = 0. Is 38 a factor of 0*v\/14 - -960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5300168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 - 16*u - 13. What is the least common multiple of l(4) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 46. Suppose f*m + 174 - 134 = 0. Calculate the remainder when (-1 - m\/3)\/(5\/15) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6418, -4 in increasing order.\nAnswer: -4, -1, 6418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1296692108 rounded to 3 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 76573 - 76573.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 + 3 - 2*j**3 - j**4 + 6*j - 2*j**4 = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let v(f) = -2*f**2 + 3*f + 26. Let i(k) = -18*k**2 + 26*k + 241. Let j(p) = 2*i(p) - 19*v(p). Give -j(u) - 5*w(u).\nAnswer: -2*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.162 + -0.75. Let r = 1.044 - i. Let k = 0.044 + r. Put -4\/7, 0.11, k, 0.3 in decreasing order.\nAnswer: k, 0.3, 0.11, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4\/30*(-15)\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.7544 hours to milliseconds.\nAnswer: 171915840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 + 8*w + 3. Let q(u) = 14*u**2 + 12*u + 5. Give -5*q(f) + 8*t(f).\nAnswer: 2*f**2 + 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (4 + 9 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 + (-240)\/(-100). Suppose -f*c - 5*z = -65492, 9989 + 33679 = 2*c + 2*z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 10. Let d(g) = -5*g**2 + 123*g - 284*g - 8 - g**3 + 147*g. List the prime factors of d(a).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351275 is divided by 81?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 10)*(-9*v + 9*v + 10*v**2) + v**2 - v**2 + v**2 + (v**2 + 0*v**2 - 3*v**2)*(3 + 1 - 2).\nAnswer: 127*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*1*sqrt(500) + (-5 + -3*sqrt(500))**2 + sqrt(500) + -3.\nAnswer: 490*sqrt(5) + 4522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 403.5 - 510. Let v = a - -26.8. Let y = 86 + v. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 10) + -10 + (-3 - (-3 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/32*(-220)\/66\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.901 times 0.0717?\nAnswer: -0.0646017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 less than 985957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let g(f) = 17*f**2 - 3. Calculate l(g(o)).\nAnswer: 17*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u + 11*u**2 - 7*u - u + 5*u wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 11) + -19 - -2 - -55?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49392*z - 4*z**2 + 24696*z + 24696*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24880 and 10272400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2458 is divided by 190?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(5 - 1))\/(-10). Let d = -1311 - -1309.9. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and -1.3.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 11*r - 12. Suppose -2*t - 54 = -2*z, -2*z + r*z - 29 = t. Let l be (-295)\/t - 12\/15. Solve -l = 2*y + 5*j, -5*j = 4 + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43483 - 43488. Put 4, 106, p, 27, 0 in descending order.\nAnswer: 106, 27, 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 31. Let h be c(7). Suppose 0 = 2*m + 2*z - 256, -2*m + 5*z + 260 - h = 0. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from txtbtxywtxtxxyxwy.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s. Suppose 15 = -19*m + 16*m. Let f be q(m). Let d(x) = 6*x + 0 + f - 5*x. Let w(g) = -2*g**2. What is w(d(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m + 5 = 0. Let l(h) = -2*h**2 + 9*h + 2. Let x be l(0). Suppose 3*s = x + m. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - 172106?\nAnswer: -1720b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = j + 4*j - 4*c, 15 = 4*j - 3*c. Suppose -23 - 16 = -j*o. What is the highest common factor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7715, 15437, 23159?\n\"Answer: 7722*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z + 120 = 81*z. Let f = z + 142. Is 25 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 + -0.1784\nAnswer: 100.8216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -1 + sqrt(396) + 4 + sqrt(396))**2*-3 + sqrt(396)*2*2 + sqrt(396)*2 + -2)*5*6.\nAnswer: -321630 - 8640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**2 - w - 17. Suppose 3*j + 4 = -8. Calculate the remainder when u(j) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**4\/4 + 2*k**3\/3 - k**2 - 6*k - 149. Let x(o) = 9*o**3 - 4*o**2 + 3*o + 11. Give -11*s(q) - 6*x(q).\nAnswer: q**3 + 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3 - 3)*(-h**2 + 0*h**2 + 2*h**2) + h**3 + h**2 - h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364953 = 3*p - 4*v, 3*p + v + 398918 = 33965. Let m = p + 66651. What is m rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109454211 is divided by 1176927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5440475\/4172 - -214\/1043. Let s = j - 1303. Factor s - 5\/2*i + 5\/4*i**2.\nAnswer: 5*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29027, -2, -56 in descending order.\nAnswer: 29027, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:09 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 9 + 0*n - 3. What is the lowest common multiple of u(3) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1337290\/9 + -148588. Let y = 1 + -2. Let s = y + -1. Which is the third biggest value? (a) s (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, 86, 3, -3, -15, 5 in ascending order.\nAnswer: -15, -3, -2, 3, 5, 14, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 564592 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/29)*m)\/m)**(-6)\/(m\/m**35*m*m*(m**(-37)\/m)\/m) assuming m is positive.\nAnswer: m**(2041\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/11 - 20\/11. Let k be q + (0\/4 - 0). Is 2 + 2 + k + 413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 120*j + 8484 = -101*j for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3165066319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -1. Let h(m) = -m - 11. Let u be h(-5). Let p be 2\/u*(-180)\/40. Which is the closest to n? (a) 1 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) - sqrt(25)\/sqrt(5)) + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3979 - 0.396133. What is w rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a + 2. Suppose -32 + 18 = 7*t. What is n(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3 - (-1 + -6 - (-1960)\/175)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-3 - -1) - 0. Suppose u*o - 19 + 0 = -c, -5*o = 5*c - 50. Calculate the remainder when 25 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v + v + 0*v - 9. Let u(r) be the first derivative of r**2\/2 - 8*r - 11. Determine -6*m(h) + 7*u(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and (-5194)\/159*3\/(-4)*6?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15*z**2 + 1. Is h(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.128\nAnswer: 0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -33.13. Let h = k + -0.09. Let d = h - 1.04. What is the third biggest value in d, 5, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:36 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27760.\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.38 - 0.294. Let a = w - -3.914. What is the nearest to 0 in a, 3, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 762.4821 millennia?\nAnswer: 7624.821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 3 + 3)*(m + 1 - 1) + 0*m**2 + 3*m**2 - m**2 + (-m**2 + 0*m**2 - m**2)*(-3 + 4 - 3).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**5 - 25*v**4 + 315*v**3 - 215*v**2 - 550*v = 0.\nAnswer: -11, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4221*l**2 + 27*l - 2. List the prime factors of x(-1).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.6 + 18. Let l = 1.6 + u. Let i = -44 + 48. Sort -2\/5, l, i in ascending order.\nAnswer: l, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19452 - 19134.95. What is w rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 11*n**2 - 10*n + 10. Let r be k(9). Let z = r - -97. Round z to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 124 = 0. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by (-8)\/(32\/108)*(-1 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 0.4. Let a = d - 0.3. Let y = a + 0. Which is bigger: y or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/61))**(-5\/7) assuming c is positive.\nAnswer: c**(-10\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o, -z + 29 = -o - 4*o. Suppose 6*i = 21 - z. Differentiate -15 + 2 + 4 + 16*h**i + 6 with respect to h.\nAnswer: 32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 780 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6) + -9 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 31. Suppose 146 = 5*d + 5*p + 146, 15*p + 90 = 0. Solve o = -w + 2*n, 3*n - d = 3*w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:35 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 2073. Let p(q) = 2*q. Calculate l(p(c)).\nAnswer: -8*c**2 + 2073","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -184786 (base 10) in base 12?\nAnswer: -8ab2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -261, -522, -785, -1056, -1341?\n\"Answer: -t**3 + 5*t**2 - 269*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**4 + 3 + 14*t - 25*t**4 - 3 wrt t.\nAnswer: -228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5849661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363613 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5228414 is divided by 3371.\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 - 138*g**2 + 1092*g + 12168 = 0. Calculate g.\nAnswer: -6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, -2, 7689?\nAnswer: 7689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -105. Does 25 divide ((-270)\/x)\/((-1)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93440, -93449, -93458?\nAnswer: -93467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4*i**3 - 184*f**4*i - 116*f**3*i - 1941*f**2*i**3 + 2*f**2*i**2 + f*i**3 + f*i + 52*i**2 wrt f.\nAnswer: -24*f*i**3 - 4416*f*i - 696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 0 - 12)*(4*m - 2*m + 0*m) - 14*m - 4*m + 9*m - 1 + 1 + m.\nAnswer: -106*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 92. Suppose 0 = g*l + 4*a - 56, -3*l - 2*a = -6*a - 42. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 76*h**2 - h**3 - 6*h - 4*h + 12 - 39*h**2 - 44*h**2. Does 7 divide w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -113419*p + 680526. What is v(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*d**3 + 256?\nAnswer: 129*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/9 - 772*i**3\/9 - 258*i**2 + 1036*i. Factor h(c).\nAnswer: 4*(c - 387)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 701206667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69.94545 and 0.17?\nAnswer: -11.8907265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:52 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 926 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*2*(-291)\/970. Find i, given that 3\/5*i**2 - 3\/5 - 3\/5*i**3 + h*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)\/f**(1\/47) assuming f is positive.\nAnswer: f**(-1\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101100221212 (base 3) to base 4\nAnswer: 301310321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/7 - 544*n - 315009\/7 = 0 for n.\nAnswer: -81, 3889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501724.\nAnswer: 2, 43, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 108 + -202 - -114 - (-1 + -86)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + 2 + (-12)\/2. Sort -2, -1, p.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, r: 3, h: 4, m: 5, v: 2}. Give prob of picking 2 q and 2 m.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) + (-115)\/10. Let v be d - 9\/(-3)*-1. Let r be (-38)\/v + (6 - 9). Sort -2\/5, r, -0.1 in increasing order.\nAnswer: -2\/5, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**7\/1260 + w**6\/72 + w**5\/10 + w**4\/8 + 8*w**2. Let d(x) be the second derivative of r(x). Let d(h) = 0. Calculate h.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*m - 43*m**3 - 8*m**2 + 22*m**2 - 7*m**4 - 23*m + 30 - 49*m**2.\nAnswer: -(m + 1)**2*(m + 5)*(7*m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6994 is divided by 589.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261961574*y + 261961574*y + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2490 + 2490 + 182*x**2.\nAnswer: 182*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - 3*p**3 + 2*p**3 + (-3 + p + 3)*(2*p**2 - 2*p**2 - 2*p**2) + 2*p - 2*p + 2*p**3 + 22*p**2 - 23*p**3 - 22*p**2 + 258*p**3.\nAnswer: 234*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, -x = -2*v - 3 + 169. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/6))**(2\/41)*((((y\/y**(-7)*y*y)\/y)\/y*y)\/y)\/(y*y**(2\/11)))**(-49) assuming y is positive.\nAnswer: y**(-459032\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593142369 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1)\/1*-3 + -46. Let g be 1*(-2)\/(-4)*27\/l. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598639673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 13 = 5*w, -4*f - 23 = -f + 5*w. Let c(j) = 29*j**2 - 4*j - 7. Is c(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19877482981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(325) + -1) + 1*(0 + sqrt(325)) - ((sqrt(52)\/sqrt(4))**2 + -4 + (sqrt(468) + (-1 + sqrt(468) - sqrt(468)))**2))*-2.\nAnswer: 16*sqrt(13) + 946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 1.1. Let x = -40.2 - r. Let g = x - -40.1. Which is the closest to g? (a) -2 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 47*y - 2538. Let q(w) = 54*w**2. Calculate m(q(t)).\nAnswer: 2538*t**2 - 2538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*g**3*k + 3*g**3 + 1480*g**2*k + 4*g*k + 927719*g + 2*k - 4 wrt k?\nAnswer: 18*g**3 + 1480*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 1 + 0*y + y - 8*y**2. Suppose -q + 2*o + 5 = 0, 0 = q + 2*o - 6*o - 9. Suppose r = -2 + q. Calculate a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1459330.\nAnswer: -145933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 - 4*o + 4. Let d be k(3). Let q(y) = -y**3. Let z(t) = -7*t**3 + t**2 + t. Let j(x) = d*z(x) - 6*q(x). What is j(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:49 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -34. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -40*g**2 + 558*g + 9615. Calculate o(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21442 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -231.9418 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1)*3\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 2 = 0, -2*z - c + 12 = 0. Suppose z*q = 0, 5*q + 23 = 5*v + 3. What is the remainder when 13 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2\/2 + 12. Suppose 6*x - 29 = -o, -x + 3 = -2*o - 4. Let h(f) = -4*f - 3. Determine o*h(g) + 5*c(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 68, 32, 0, -17 in descending order.\nAnswer: 68, 32, 7, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -866*i**2 + 4*i - 30 wrt i.\nAnswer: -1732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639905 and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 2\/5, -1\/3, -9, -1270?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -15, 5*k + 175 = -4*s. What is the tens digit of ((-6)\/(-5))\/((-5)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*q - 3, 3*q - 501 = -3*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -362, -860, -1564, -2474?\nAnswer: -3590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18770 and 4810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 25. Let v = j + -34. Let b be v\/9 - 114\/27. Is b < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(750)*-1)\/(sqrt(72)\/(sqrt(12)*2*2)))**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 1, r: 1, i: 3}. What is prob of sequence ippp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147692657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17985660 divided by -308\nAnswer: -58395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 193029600 rounded to the nearest 100000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/495)\/((-72)\/(-1980))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*h - 15 = 0, p + 47*h = 51*h + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**9\/22680 - v**4\/12 + 3*v. Let a(t) be the third derivative of j(t). What is s in a(s) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 6 + -107 + 115\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**2 - 2*b + 13. Let s(g) = 2*g**2 - g. Let r(l) = -11*l**2 + 8*l - 6. Let h(v) = r(v) + 7*s(v). Calculate 6*d(p) + 13*h(p).\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -663?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.066 - -328.366. Round l to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207318996.\nAnswer: 2, 13, 83, 279731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**1)\/t)\/t*t*t**(1\/4)*(t*t**7)\/t**(-3\/2))\/(((t*t\/t**(2\/11))\/(t\/(t\/(t\/t**(-2\/3)))))\/(t\/(t**(1\/3)*t)*(t*t**(-1)*t*t)\/t)) assuming t is positive.\nAnswer: t**(1619\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -29. Suppose c*i + 32 = 6*i. What is the smallest common multiple of i and 26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 - 96 + 83 + 11*r - 286.\nAnswer: 11*r - 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*l + 10 = 0, -w = w - l - 7. Let z(i) be the second derivative of -3\/10*i**5 + i + 4\/3*i**w - 5\/6*i**4 + 4*i**2 + 0. Factor z(p).\nAnswer: -2*(p - 1)*(p + 2)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/22, 267, -4, 1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -596, -604, -614, -626?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l + 1. Suppose 2*g - 16 + 26 = -5*i, -2*i = -3*g + 4. Determine a(i).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72, -146, -220?\n\"Answer: -74*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 4. Is d greater than 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2470785, -2470844, -2470905, -2470968?\nAnswer: -2471033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5879.436 litres in millilitres?\nAnswer: 5879436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/(4\/432). Calculate the common denominator of 17\/20 and (-1)\/(-3)*g\/32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157125767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 6. Let c be (-13)\/((-2)\/(-7 + 5)). Let g(i) be the second derivative of i**3 + 13*i**2\/2 + 2*i. Determine c*l(o) - 6*g(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -2)*(-14)\/6. Let p(n) = -3*n - 6*n**2 + 40815911*n**3 + 0*n - 40815910*n**3 - 4*n + 4. What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 5*t**3 - 2*t**3 + (0 + 4 - 2)*(-2 - 2*t**3 + 2) + 3*t**3 + 2*t**3 - 4*t**3)*(3*t**2 - 4 + 4).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 389.5441 and -350.\nAnswer: 39.5441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-15309)\/(-27))*(-6)\/1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.071.\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 1 + 1)*(-2*o**3 - 2*o**3 + 3*o**3) - 7*o**4 + 7*o**2 - 7*o**2 + (-o**2 + 3*o - 3*o)*(6*o**2 + 18 - 18) - 2*o + o**4 + 2*o.\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -768068*p + 768085*p - 425 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -11. Let x be (-27)\/(-3) + 20\/5. Let p = o + x. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -12. Suppose g - u = 5. Calculate the remainder when 23 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + -3. Let h = -16.7 - -46.6. Let s = h + l. Is s less than -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -50. Find the second derivative of -28*i**2 + 3*i + 1 - 2*i + 29*i**2 - l - 6*i**4 wrt i.\nAnswer: -72*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -1 - 10 - (-3530 - -3495).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565812753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 11*c - 190. Suppose y - c = -p, -3*p = 2*p + 3*y - 942. Let a = -112 + p. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 345 + -341. Let s be 13 + (-54)\/4 - (-18)\/t. Solve 2*x = -6, 5*w - 5*x - s = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.66 + -0.06. Let y = 1.52 + -0.52. Let t = m - y. What is the closest to -0.1 in t, -2, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 50, 39, 66, 131?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*v = 12737 - 3203 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 + 138 = 2*s + 2*f, 5*s - 30 = -3*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + n - 12, 3*z - n = -10 - 10. Which is the fourth smallest value? (a) -2\/5 (b) 3\/4 (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - -262. What is the remainder when r is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 228, 451, 672, 891, 1108, 1323?\n\"Answer: -g**2 + 226*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7696 is divided by 384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/725468 and -17\/5860.\nAnswer: 3627340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3441?\nAnswer: 1\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28287, -28222, -28131, -28026, -27919?\nAnswer: -27822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 10*u**3 + 2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 21*g**2 - 20*g + 23. Let u be l(-20). Suppose -5*i + u = -2*a, 2*i = 4*i + 2*a + 2. Solve i*b + 4 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*b**4 - 31 wrt b.\nAnswer: -228*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.01 - -0.09. Let f = -2.9 - l. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 139, 143, 147, 151, 155?\n\"Answer: 4*f + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 - 21*h**5*o - 2*h**3*o + 112*h**2*o - o wrt h.\nAnswer: -120*h**3 - 1260*h**2*o - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2193, 4573, 6977, 9417, 11905?\nAnswer: 14453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + w**4 - w**4)*(-7*w + 4*w + 11*w) + (w**4 + 0*w**4 - 4*w**4)*(4*w + 6*w - w).\nAnswer: -19*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 5*b**2 + 6*b + 6. Let z be c(5). Suppose z = -9*s + 15*s. Let y = 21 + -17. Solve -s*a - 2 = -y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/11 (b) -5 (c) 2.774 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 5. Let s be z(5). Suppose -b + s*u + 3*u = -16, 16 = -4*u. Solve -b*r + 5*v = -9, 2*v = v - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-10) - (-624)\/60)\/1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3124373381 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 - 2*w**4 - 4037*w**2 + 4043*w**2 + w**3 as r*w**4 + h*w**2 + z + x*w**3 + d*w and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/80 + 138\/368.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let h be j(-3). Let l be (-5 + 4 - 2) + 3. Solve -k + h = -l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g - 11*g**3 + 4*g**2 + 6*g + g + 8*g**4 + 14*g**3 + 3 - 5 to the form s*g + k*g**3 + c + a*g**4 + d*g**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, 10, -3\/4, -1, 31959?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804689999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 22*k - 33. Let t(p) = 22*p - 34. Let j(l) = 6*f(l) - 5*t(l). Let m be j(3). Calculate the greatest common factor of 190 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/12 + 4*p**2. Suppose 0 + 2 = c. Let b(d) = -2*d**c + 0*d - d + d. What is s(b(y))?\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100284, 100286, 100298, 100326, 100376, 100454, 100566, 100718?\nAnswer: 100916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (671\/22 - 3)\/((-13)\/(-208)*20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 2955\nAnswer: 1477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9195*c**3 + 100870*c**2 + 3025*c.\nAnswer: -5*c*(c - 11)*(1839*c + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(143) + (sqrt(143) - ((sqrt(143) + sqrt(143)*-2)*2 - sqrt(143)))))\/((-2*sqrt(77))\/sqrt(7) - sqrt(11) - sqrt(539)*1))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/9)\/((-1566)\/243 - -6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -375, -371, -365, -357, -347?\n\"Answer: y**2 + y - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) 0.1 (c) -38 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 639000 and -12.9.\nAnswer: -8243100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1\/(-1) + 87\/15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4 - (-4 + 2)). Suppose 3*v + 12 = -4*p + p, -k*p = -2*v + 20. Let i = 1 + v. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 961767864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 7*t + 4414 = 0. Suppose 3*n - t = 5908. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(2\/(-30)). Let f = 2 + 0. Suppose f*r + 35 - 13 = 4*s, 3*s = -r + 9. What is the second smallest value in 1, r, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1663*x - 3348*x = -1754*x - 6900 for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667468.7t to nanograms.\nAnswer: 667468700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1586 and 16.\nAnswer: 15.8414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 190?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*g - j, 4*g - 235*j = -173*j + 322 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -5)\/(-2 - 26\/(-16)). Suppose -21 + 101 = y*o. Which is the nearest to 1? (a) -2\/9 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 7*l**2 + 3*l + 7. Calculate the remainder when 141 is divided by f(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8944567 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 64776177?\nAnswer: 64776181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - 2 - 2 - -3. Suppose t*f - 70 = f. What is the remainder when ((-12)\/(-4) - -37)\/1 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 44 = 14*t. Let s(w) be the third derivative of 0*w**3 + 1\/270*w**5 + 4*w**2 + 1\/108*w**t + 0 + 0*w. Solve s(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/3, -2\/5, -13, -1 in descending order.\nAnswer: -2\/5, -1, -4\/3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from ryegrccyu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-228)\/(-20) + (-2)\/5. Suppose -t = -4*q + 21. Suppose p + 3*z = q*z + 12, 108 = 3*p + 3*z. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/4)\/((-6)\/(-3)). Suppose 2*w = 6, -4*w + 5*w + 69 = q*v. Let h = 487 - 452. Is h >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34930796099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96487392?\nAnswer: 2, 3, 23, 89, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 2. Let p be q(3). Let n = -4 + p. Suppose n = -2*r + 6*r. Solve 0 = -3*j - 5*b + 10, r + 4 = -4*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -9. Let m = 17 + q. What is the remainder when 20 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5356 - -7343. What are the prime factors of o?\nAnswer: 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-21)*8)\/((-6)\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13 - 38 + a - 3 + 12. Let w(d) = d. Determine w(c(r)).\nAnswer: r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4624 and 64.\nAnswer: 18496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -46208.571 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:56 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -87125 (c) -468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -382 (c) -0.1 (d) -6 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14 = 740*y - 611*y, 4*y = -2*r + 4*r - 4*r - 14 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.2 (c) -4\/11 (d) -12\/25 (e) -2 (f) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 34429956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 14492513, 28985027, 43477543, 57970061, 72462581, 86955103?\nAnswer: 101447627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2827614, -5655236, -8482858?\n\"Answer: -2827622*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2792.8 - 2080. Let y = s + -656. Let g = y + -51. What is g rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 28.7?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 65 = -2*y, 2*y - 3*z + 137 = -2*y. Let x = y + 33. Which is bigger: -2\/3 or x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 2*o**5\/5 + 2*o**2 - 5*o. Differentiate x(y) wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h. Let l(n) = 38*n**2 + 57*n + 57. Let k(a) = -a**2 - a - 1. Let p(i) = -57*k(i) - l(i). Calculate d(p(o)).\nAnswer: -114*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 + 5201*b**2 + 1042*b + 2087. Calculate n(-1040).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287675*w**3 + 143936*w**3 + 143928*w**3.\nAnswer: 189*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**5\/5 - 13*m**4\/4 - 4*m**3 - 3816. Factor c(w).\nAnswer: -w**2*(w + 1)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.9042*0.2\nAnswer: -28.38084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 - 238. Is h greater than 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -592, -951, -1494, -2221, -3132, -4227?\n\"Answer: -92*n**2 - 83*n - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34528 is divided by 202.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 - 3*o + 4. Let h be 33*(4\/(-3))\/4. Let a(r) = -17*r**2 - 8*r + 11. Let p(c) = h*u(c) + 4*a(c). What is the second derivative of p(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-2 - 131\/(-7)) and -16\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386754546?\nAnswer: 2, 3, 811, 79481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*k + 436*k - 183680. Calculate the greatest common divisor of 189 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 419 and -265646.\nAnswer: -265227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 731230.8 milligrams in nanograms?\nAnswer: 731230800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 + 6*m**2 + 8*m + 6. Let v(w) be the second derivative of 3*w**5\/10 - 7*w**4\/12 - 3*w**3\/2 - 7*w**2\/2 - 15*w. Determine -7*k(x) - 6*v(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9652253?\nAnswer: 13, 31, 43, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 9*j**5\/20 + j**4\/4 - j**3\/3 - 2*j**2 + 4*j + 25. Find the second derivative of s(x) wrt x.\nAnswer: 54*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 + l**2)*(111 + 111 - 204)*(15 - 6*l - 15).\nAnswer: 108*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2. Let p = -176 - -88. Let f = 125 + p. Let y(i) = -f + 37 - 20*i. Determine y(s(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 2413*y - 2387*y + 4802*y.\nAnswer: 2*y - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5. Let v = r - -0.7. What is the closest to 2\/11 in 0, v, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 72*n**3 + 284*n**2 - 312*n.\nAnswer: 4*n*(n - 13)*(n - 3)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10397, 12208, 15219, 19430?\n\"Answer: 600*j**2 + 11*j + 9786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 47 = -77. Solve 3 = p*t - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118785215.\nAnswer: 5, 47, 505469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 75, 53 in descending order.\nAnswer: 215, 75, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 1\/20, -1\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 4:38 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5159 * 27.08\nAnswer: -139705.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 60. Let x be s(0). Calculate the greatest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (29 + 37 - 15 - -25)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*(-32)\/240)\/(2\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 2*h + 3\/2.\nAnswer: (h - 3)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14.45*262135\nAnswer: -3787850.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k + 4*p, 0 = -4*k + p + 34. Suppose -j + 57 = -5*d, 0 = -2*d - 7 - 3. Calculate the highest common factor of k and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -27. What is the remainder when 11 is divided by (15\/b + 2)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.84092354 to 3 decimal places.\nAnswer: 6.841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*z + 14, -5*y - 2956 = 4*z - 2975 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885007278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 120*l - 480. Let r be h(4). Solve r = -9*y - 6*y + 14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/2 + 7*s**4 + 26*s**3 + 13*s**2 - 53*s\/2 - 20 = 0 for s.\nAnswer: -8, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 375585 divided by -21?\nAnswer: -17885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 973*b - 92229. What is y(-87)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*9\/(54\/(-628)). Suppose -5*o = -5*v + 1555, -o - 5*v = -3*v + r. Let l = 525 + o. What are the prime factors of l?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53968 to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*z + 1 - 27 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 - q**2 - 10*q + 3. What is the remainder when s(7) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1110920 - 6?\nAnswer: -1110926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-100)*-5*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/3 + 9934400*h**2\/3 + 6622936*h = 0. Calculate h.\nAnswer: -2, 0, 4967202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25139\/115 + 4\/10. Suppose 3*d = 2*w + m, d = 5*w + 68 - 8. Calculate the common denominator of 51\/d*(-140)\/(-16) and -103\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f**2 + 8*f**2)*(-2*f + 2*f + 2*f**3 + f**2).\nAnswer: 10*f**5 + 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 43*w**2 + 7*w + 14. Let r(a) = 22*a**2 + 3*a + 7. Let m(x) = -5*r(x) + 3*s(x). Let k = 633 - 631. Let z(n) = -6*n**2 - 2*n - 2. Give k*m(p) + 7*z(p).\nAnswer: -4*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 - m + 2. Let y be z(2). Which is smaller: y or 2\/25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780285 and 4125?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7162*x**3 - 10*x - 12. Let t(y) = 1432*y**3 - 2*y - 2. Let z(a) = -16*t(a) + 3*u(a). Find the second derivative of z(c) wrt c.\nAnswer: -8556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 8. Let k(s) = s**3 + 13*s**2 + 8. Let m be k(-13). Let y be g(m). What is the closest to 0 in y, 0.1, -6\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/19 + 11578*u\/19 = 0.\nAnswer: -5789, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3086\/15 + (-4)\/(-6). Let z = -14091920841\/290 + 48592624. Let g = z + n. Find the common denominator of g and 87\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1409\/2 + -724. Which is bigger: y or -20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 680123\/1675 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 18*i + 99. Calculate s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 13*z + 15. Let j = -62 - -55. Is u(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.48 + 0.48. Let n = h + 14. Sort -1\/7, n, 1\/2 in increasing order.\nAnswer: n, -1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*2*sqrt(121)*2)\/((sqrt(88)\/(sqrt(8)\/sqrt(4)))\/(4*sqrt(16)\/sqrt(4))).\nAnswer: -480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/391812168 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 613616 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4852*w - 4644*w = 12272 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 3. Calculate the remainder when 95*((2 - g) + 6) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/11 (b) -0.1 (c) 0.225 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1408 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4131?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.6 + 2.4. Let m = -6 - r. Suppose 0 = -3*t - 9 - 0. What is the biggest value in t, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hnhhhhnhhn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110 - -101?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 43 = -31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590838, 590841, 590844?\nAnswer: 590847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -18 (b) 4 (c) -4\/9 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. Let c(b) = -b**3 + 6*b**2 + 5*b - 1. What is the units digit of c(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/134725 and -19\/3825.\nAnswer: 1212525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -5*o + 48. Let w be (-5 + o)*1 + (1 - -2). What is the fourth biggest value in -2, 0, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*w + 48 = -2*u, 2*u + 2*w - 6 = 0. Suppose -32*v + 38*v - 18 = 0. Solve -1 - u = 2*d - v*n, 5*n - 12 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - (-30)\/8)*8*7. Suppose -942 = -4*p + t. List the prime factors of p.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1917*v + 59160 = -848*v - 576*v for v.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/9 + 38*c**2\/9 + 128*c\/9 + 40\/3 = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 303 - 294. Suppose 0 = 2*w - 3*a - 22, -w - 3*a + 6*a + 5 = 0. Let j = w - m. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*x**3 - 7*x**3 + 10*x**3 + (-4*x**2 - 2*x**2 + 2*x**2)*(-2*x + 5 - 5).\nAnswer: 14*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 44 = 4*s. Suppose -4*r + s = 12. Is (-135)\/(-4) + 2\/r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -746 and -37258.\nAnswer: 27794468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k + 0*k + 11*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/14)\/((-14)\/(-4900))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(1\/5)\/u)\/u))**(-2\/53)*u*(u*u**(-2\/25)*u)\/u*u*u**(4\/5) assuming u is positive.\nAnswer: u**(4839\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - (7 + -18 + -5) - (-12 - (3 - 2))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 21*o**2 + 392*o - 53. What is the hundreds digit of d(-38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h**3 + 4*h**2 + 3*h + 14. Let k(o) = -21*o**3 + 7*o**2 + 7*o + 24. Let l(b) = -4*k(b) + 7*z(b). Let q(v) = -v**3 + v - 1. Give -l(t) - 6*q(t).\nAnswer: -t**3 + t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7473418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 120. Let m = 171 - h. What is the remainder when m is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-2 + -2 + 16 + 3 + -12).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 - 30*y**4 + 68*y**3.\nAnswer: -2*y**3*(y - 2)*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9985541.\nAnswer: 29, 103, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*1 - (sqrt(891) - -2*sqrt(891))**2)*-3 + ((sqrt(99) - (-1 + sqrt(99))*-5)**2 - -2*(sqrt(88)\/sqrt(2))\/sqrt(4)).\nAnswer: -184*sqrt(11) + 27646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588595, 588563, 588531, 588499, 588467?\nAnswer: 588435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(22\/198) + 1132\/380?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*u + 395 = 0, 4*t - 55 = 5*u - 370. What is the common denominator of ((-26)\/4)\/((-22)\/(-4)) and (8\/t)\/((3\/3)\/(-28))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -399946*t**2 + 540931?\nAnswer: -799892*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 5. Let n be s(3). Suppose 0 = n*t - 20 - 8. Factor 2\/3*w**3 - 2\/3*w + 2\/3*w**2 + 0 - 2\/3*w**t.\nAnswer: -2*w*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (2 - (-15 + 30))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 31 = 4*c, 4*o - 56 = -3*c + 3. Which is smaller: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 15*o + 16. Let a be ((-2)\/5)\/(((-33)\/(-11))\/105). Give y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(8 + (-2)\/(-2)). Let j(f) be the second derivative of f**4\/12 - 5*f**3\/3 + 11*f**2\/2 + 64*f. What is j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3936*m + 1815 = -4057*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 74 = 230 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1) + (-1)\/1. Calculate the remainder when 9 is divided by (b + 1)*(7 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 5565*u + 11110.\nAnswer: 5*(u + 2)*(u + 1111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 2*d**5 - 2*d**3)*(5 - 3 + 2) + 2*d**5 + d**4 - d**4 + (-d + d + 2*d**3)*(3*d**2 - 4*d**2 - d**2) - 563*d + 563*d + 35*d**5.\nAnswer: 41*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241*h**2*p**2*w - 11223*h**2*p**2 - 3*h**2*p + 2*h**2*w - 633*h - p + 18*w wrt p?\nAnswer: -482*h**2*w - 22446*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8024\/22302 - (-4)\/(-54). Determine s so that r*s + 0 + 1\/7*s**3 - 3\/7*s**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/44)\/(33\/24 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**3\/3 - 8*c**2 - 17*c - 10. Calculate the smallest common multiple of z(-13) and 736\/40 + (-2)\/5.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/(-185)*(-10)\/8. Suppose 5*p - 6*p = -5. Which is the nearest to i? (a) -1 (b) p (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 9*g + 36. Let x be r(0). Let c = x - 39. What is the second smallest value in c, 67, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.071? (a) -332 (b) 512 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 37 = -3*v, v = 2 - 4. What is the common denominator of g\/4 - (-4)\/(-6) and 51\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960057519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - (-153)\/18. Suppose 2*i - b = -2*m + 7, 0 = 3*m - 4*i - 3. Sort -1\/4, 2, m in increasing order.\nAnswer: -1\/4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50293 and 2546?\nAnswer: 6739262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71, 167, 261, 353, 443, 531?\n\"Answer: -c**2 + 99*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.14 - -0.14. Let z = 6 + j. Let p = -12617.3 + 12617. What is the third biggest value in p, -0.1, z, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0*a - 4*k + 25, -a - 2*k = -5. Let q(f) = -51*f - 1853. Calculate the remainder when q(-37) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 284*b**2 + 18*b - 8. Let x be z(-3). What is the highest common factor of x and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 19*r - 13*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370036 is divided by 30836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = -3*y + 14, -2*d - 18 = -5*y. Solve y*g - 4*o - 15 = o, 9 = -3*g - 3*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108562191 by 3.\nAnswer: 36187397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2039 = -82*i + 1219 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521019 (base 13) to base 10.\nAnswer: -1915806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.0921.\nAnswer: -0.03684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 3 - 48 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5130\/190)\/(2 - -1) + 65?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x. Suppose x*a - a + 2*r + 44 = 0, 4*r + 8 = 0. What is the remainder when a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9666.2 rounded to the nearest 100?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q = -31*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5 - 1 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*x = -123*x - 21 - 64 - 275 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1934*d**2*u**3 - 5*d*u**3 + 3*u**2 wrt d?\nAnswer: -3868*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((sqrt(6) - (sqrt(6)*2 - sqrt(6)))\/sqrt(3) + sqrt(2)) + 2.\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(25) + sqrt(25) - -4*sqrt(25)*-1)*-3)\/((sqrt(4320)*1)\/(sqrt(192)\/sqrt(2) + sqrt(6))).\nAnswer: 35*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b - 318*b - 2646*b**3 + 108*b + 107*b.\nAnswer: -2646*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) + (sqrt(405) - sqrt(45))\/sqrt(9)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 13*k - 36. Let n(g) = k*g**2 - 16*g**2 + 7*g + 3 + 4*g**3 - 10. Let s(u) = -2*u**3 + 2*u**2 - 4*u + 4. Give 4*n(x) + 7*s(x).\nAnswer: 2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {u: 3, r: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-54))\/(((-200)\/(-48))\/25).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -6, 1 in descending order.\nAnswer: 10, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25432 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 688*j**3 - 11*j**2 - 2?\nAnswer: 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*t + 12550, 2*n = 47*t - 46*t + 8352. What are the prime factors of n?\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3\/9)\/((-121)\/198).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*w - 163*w - 2 = -f, 5*w = -f + 2. Let q(n) be the second derivative of 27*n + 0*n**f + 0 + 3*n**4 + 3\/20*n**5 + 18*n**3. Factor q(j).\nAnswer: 3*j*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from czlco?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 80*o - 13422. Let g(u) = 2*u**2. Give p(g(n)).\nAnswer: 4*n**4 - 160*n**2 - 13422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 28*k**3\/3 - 21*k**2\/2 - 2*k + 4. Calculate the remainder when 63 is divided by v(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3849.\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-112)*9\/(-6)*2\/6?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 0*y - 2*y - 3*y. Let c(w) be the second derivative of w**4\/6 - 2*w - 5. What is v(c(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1181 divide 11934005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + o - 43, 0 = -2*o - 2*o + 4. Suppose -n - 2*c = -x, 0 = -2*n - 3*n - 4*c + 87. Let r(g) = g + g + n*g. Let h(m) = -3*m. Calculate h(r(s)).\nAnswer: -51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 28451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-18)\/(1872\/1105).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzvqzmzmmzvzzvqzz. What is prob of picking 1 m and 1 z?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 217*a**4 + 14*a + 7 wrt a.\nAnswer: 2604*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w - 3. Calculate l(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, s: 1, n: 2, h: 1}. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + -1.7. Let u = i + 2. Which is the closest to 0? (a) 0.3 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 + 7)*(2*o**5 - 4*o**4 + 4*o**4).\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1933*c**3 - 1285*c**2 - 12. Let r(j) = -21265*j**3 + 14135*j**2 + 130. Let o(d) = 6*r(d) + 65*v(d). What is the third derivative of o(k) wrt k?\nAnswer: -11670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 152\/3*g - 2\/3*g**4 + 40 - 20\/3*g**3 + 14\/3*g**2 = 0.\nAnswer: -10, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 56, 81, 108, 137?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-8 - 1 - -1). Let g be (-150)\/(-39) - b\/(-39). Let n be (-10)\/(-4) + (-136)\/(-16) + -8. Solve l + r + n*r - g = 0, -l - 2 = r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -2*m. Suppose k + 20 = v, -2*v + m*k = k - 31. Suppose -92*s + 96*s - 92 = 0. Calculate the greatest common factor of s and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 729 divided by 3\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 0) + -7 - 4 - (12 - 18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-41 - -13)) + -8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 20 + 10, -5*c - 4*v - 158 = 0. Put 9, -3, 3, c in decreasing order.\nAnswer: 9, 3, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7185 - 3960. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 5*z - 1. Let m(a) = -2*a + 2. Let g be m(3). What is the remainder when 2\/2 - (-30)\/1 is divided by h(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 202, -0.1 in decreasing order.\nAnswer: 202, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1507 - -3586.78.\nAnswer: 2079.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157535 and 980?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m + 19. Let k be m\/(-10)*5\/3. What is the second smallest value in -0.1, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/4 + 66255*v**3\/4 - 132478*v**2 - 1060080*v + 8479616 = 0. What is v?\nAnswer: -8, 8, 66247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -23, 0.4, -10\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -244 - -148. Let l be 7\/(-1)*(-198)\/21. Is (x\/(-36))\/(4\/l) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -24. Suppose 22 = a*x - 3*v, 5*x + v - 14 - 58 = 0. What is the highest common divisor of x and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 440 and 309429\/703 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 146869119 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/4, 2\/225, 4.\nAnswer: -27\/4, 2\/225, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6*p - 20 = 0, -17 = 5*k - 250*p + 247*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l**2 + 2 - 2)*(-3 + 4 - 3)*(4023 - 82*l - 4023) to u + y*l + n*l**2 + t*l**3 and give t.\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -310, -298, -286, -274, -262, -250?\n\"Answer: 12*w - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 13) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.36057 - -15.293. Let z = 30 - 30.068. Let m = z - a. Round m to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/271 - -303\/4336. Let c = 1550 - 6157\/4. Calculate the common denominator of u and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 + -3 - 2 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10089 and 328781453.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -179671711806 from -4.\nAnswer: 179671711802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 32*b - 5*b = -112, 2*n + n + 10*b - 56 = 5*b for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2367, -2382, -2397, -2412, -2427, -2442?\n\"Answer: -15*s - 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 51*a**2 - 22*a + 77. Let n be i(-25). Solve -7*d + 6*d = n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -13\/7, -0.4, 21861?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3566*i**3 + 602*i**3 + 1506*i**3 + 1479*i**3.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5925*j - 106643. Calculate s(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*h**2 - h**3 + 187*h**2 - 360*h**2 to the form f*h**2 + k*h + y + u*h**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 99. Let t = j - -48. Find i, given that 28 - t - 53*i + 8*i + 25*i**2 = 0.\nAnswer: 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 2*s + 14. Calculate c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -519 and 527.\nAnswer: -273513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 810 + -1214. Let t be (-4)\/18 + p\/(-36) + 2. Let b = 47 - 32. Solve 2*x - 3 + t = 5*d, -3*x = -5*d + b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a + 2*n - 4 = 0, 5*a = -4*n + 2. Let q(f) = 10*f + 4. Let g be q(a). Calculate the highest common factor of 60 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6440? (a) -186 (b) -2 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 26. Let f be v(23). Let b(d) = -d**3 + 2*d**2 + 4*d. Let a be b(f). Solve 6 = -a*p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(76) + sqrt(76) + -1 + 5*(3 + (1*sqrt(76) - sqrt(76) - sqrt(76))))**2.\nAnswer: -144*sqrt(19) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -6203588\nAnswer: -1\/3101794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*o - 5*m + 2*m, -5*o + 155 = 4*m. Suppose 2*p - p + o = 0. Let k = -18 - p. Solve -k + 8 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265772 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 4*a + 11 + 2, 5*y + 31 = -2*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/(12201\/(-1428)) + 40\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -71. Let z be ((-4)\/(-6))\/2 - 0. Sort l, z, 0 in descending order.\nAnswer: z, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 92623, 91423, 89423, 86623?\n\"Answer: -400*h**2 + 93023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = 5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 + 1\/2*c**4 + 4*c - 7*c**3 - 14*c**2 + 1\/2*c**5.\nAnswer: (c - 4)*(c - 1)*(c + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10360, -2\/751, -2 in descending order.\nAnswer: 1, -2\/751, -2, -10360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 506?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 109*o + 32 = 114*o, 2*m - 2*o + 14 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z. Suppose 5*x = -2*f + 16, -5*f = -z*f - 5*x - 75. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + b?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 0 - -2) + 20 + -6 + -11 - 15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = 7. Let h be (-1)\/n*140\/14. Factor -5*l**2 + 4*l - l**2 - 3 + h*l**2 + 0*l.\nAnswer: -(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 726160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:08 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 40. Let m be f(-6). Let z = 45 + -31. What is the highest common divisor of m and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from ajbgxjgjejgjg?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + (22 - 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -687, -1223, -1759, -2295, -2831, -3367?\n\"Answer: -536*c - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -11, 317, -1, 4, 5 in decreasing order.\nAnswer: 317, 5, 4, 0, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 17*u - 14 - 13 + 5. List the prime factors of l(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohohhoo. Give prob of picking 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 + -123. Suppose -4*j = -4*x + 6*x + 12, 0 = 5*x + j - i. Solve 3*m = -x*u + 2, u + 0*u - 8 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**4 + 14*l**3 - 15*l**2 + 6*l + 2. Let p(x) = -11*x**4 + 29*x**3 - 30*x**2 + 12*x + 5. Let k(a) = -5*c(a) + 2*p(a). Factor k(w).\nAnswer: 3*w*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.1 (b) 1 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:22 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -71*n + 192. Let p(c) = -99*c + 288. Give 7*g(y) - 5*p(y).\nAnswer: -2*y - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let y(p) = 12*p. Let u(d) = -30*c(d) - 3*y(d). Let b(g) = -3*g + 38. Let h be b(11). Suppose 4*n = -h*n - 9. Calculate u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-28) + (-18)\/(-131 + 5). Find o, given that -7\/8*o**i + 1\/2 - 3\/2*o = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 6. Let q(r) = -1. Let l(y) = -d(y) - 5*q(y). Let c = 11 + -16. Let n = -2 - c. Give l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -51. Suppose -t - 4*h + 42 = 0, -h - 34 = -3*t + f. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/25850 and 32\/275?\nAnswer: 25850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -3*f**5\/20 + 3*f**3\/2 + 3*f**2 - 2*f + 2. Let g(u) be the first derivative of a(u). Solve g(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 - 1761\/11. Which is the nearest to 0.1? (a) -0.03 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - (55 + 134 + -2).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 354 = -16*q. Suppose -5*o + 363 = -2*s - q, 4*s - 460 = -4*o. Calculate the remainder when o is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2 + 0*i + 3 - 4*i + i**2 + 5. Suppose -3*h - h + 16 = 0. Let g be d(h). Solve -2*r + 20 = -g*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z - 6*z - 7*z**3 + (46583 - 46583 + 1365*z)*(2 + z - 2)*(-2*z - 2*z + z).\nAnswer: -4102*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 43. Determine l(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -114 - 7?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = 5715 + 14687 - 99676. List the prime factors of s.\nAnswer: 2, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70083 divided by -5391.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*y + 112, -4*y = -2*r - 2*r - 136. Let u = -39 + y. Let p = 118.5 - 113.5. Which is the closest to u? (a) 2 (b) -3\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -34 - (-3 + -3)) + -4 - 32?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -99*t. Let f(r) = 1087*r - 24. Determine f(p(l)).\nAnswer: -107613*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/3))**(-2\/15))**(-14))**(6\/23) assuming n is positive.\nAnswer: n**(56\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37093 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1761 + -1766. Let k = 5 + -2. Which is the biggest value? (a) 0.4 (b) -2 (c) k (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -95*b**2 + 5*b + 5. Let a(p) = -1188*p**2 + 63*p + 63. Let g(y) = 6*y**3 + 71*y**2 - 20*y - 33. Let w be g(-12). Give w*m(q) - 5*a(q).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - -1 - -6) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13 - (12 - 29))*673?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 80*m - 6. Suppose -5*y + 4*y + 29 = 4*f, -2*f - 44 = -4*y. Let k be u(y). Solve -k*w + 22*w = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ete. What is prob of sequence et?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*p*x**3 - 3*d*p + 4*d*x**3 - 2*d*x**2 + 4*d - 31*x wrt x?\nAnswer: -18*d*p*x + 24*d*x - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose 2*s + 0*s = i*u - 6, -3*s = -2*u + 1. Suppose 0 = 4*v - 13 + 1. Is v >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8569215 and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -3. Let n = -1 + s. Let t = 72 - 72. Which is the biggest value? (a) n (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 7634*j - 987050. Calculate v(134).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463 (base 8) to base 14.\nAnswer: 17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 248, 1, -2\/41, 5, -4, -0.3?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 5)*(-2*o**4 + o**4 + 4*o**4) + 735*o**4 - 159*o**4 + 3207*o**4 in the form l*o + x*o**4 + w + z*o**3 + a*o**2 and give x.\nAnswer: 3786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1588*k**4 - 8*k**3 - 29069*k?\nAnswer: 19056*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 276a + 27b27?\nAnswer: 2a594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -494*r - 27. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 135, 130, 121, 108, 91, 70, 45?\n\"Answer: -2*r**2 + r + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/60 - w**4\/12 + 5*w**3\/6 + 7*w**2. What is n(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/15, 0, 1.42, -1\/3, 7?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 3*a**2 - a + 2. Does 6 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 456, 1512, 3210, 5556, 8556, 12216?\n\"Answer: z**3 + 315*z**2 + 104*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-8))\/((-3)\/(-8)). Let x(y) = -j*y + 2*y - 3*y + 5*y. Let s(f) = -14*f**2. What is s(x(t))?\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddddddddddddh?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 1. Let a = 22 + -28. Let z(l) be the second derivative of l**4\/12 + l**3 - l**2 - l. Let x be z(a). Give r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -6, 48, 10\/9?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 120 = 18. Let m = 513 - 100. Let p = m + -328. What is the greatest common divisor of p and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -2.01. Let j = -3 + z. Put -8, j, 2 in decreasing order.\nAnswer: 2, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 9. Let f = -11 + i. Suppose -w + 2 + 40 = -x, -f*x + 22 = w. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 0*z**2 + 4*z**2)*(4 - 2 + 5)*(-31 + 31 + 28).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -22*i - 12. Let u(s) = 10*s + 7. Let h(q) = 6*f(q) + 13*u(q). Give h(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/18 + (-17970)\/135. Let p be 3\/(-2) - a\/14. Calculate the highest common divisor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:33 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22797702107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100625898*j + 42652548 wrt j.\nAnswer: 100625898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:05 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/3, -18\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347248383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 2*y + 4*y - 6*y + 4049 + 3490.\nAnswer: 2*y + 7539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 - 8*d**2 - d + 1. Let z(s) = -9168*s**3 - 48*s**2 - 6*s + 5231. Let a(y) = 6*b(y) - z(y). Differentiate a(k) wrt k.\nAnswer: 27396*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67.01 and -23.\nAnswer: -1541.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00322326 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 34 = -7. Suppose 0 = 9*f - 403 - 272. Let i(u) = u**2 + 0*u**2 - f - 77 + 10*u + 161. Determine i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 1669 - 9*g - 145 - 6*g + 16*g.\nAnswer: g + 1307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttcqccttqc. What is prob of sequence qct?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/408 and 31\/117555.\nAnswer: 940440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.52 + -23. Let i = h + 9.98. Let q = i - 9. What is the nearest to -3 in 0.3, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 262*g - 2186. Calculate m(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -0*q - q + d, -d = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564 + 525 - 29*s**3 + 0*s**3.\nAnswer: -29*s**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 7:13 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3372 + 3377. Solve -h - 3*p + j = -0*h, -p + 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190765923*q**3*z - 15*q**2*z + 2*q**2 + 64*q*z - 10*q - 2*z - 1 wrt q?\nAnswer: -1144595538*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 19*p + 73. Let f be u(-22). Solve 5*m = -5*l - 30, l + 0*l + f = -2*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 41594.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 7*q**4 - 15*q**2 + q**2 + 2*q**3 - 39*q**3 + 11*q**2 as n*q + v*q**2 + g + u*q**3 + b*q**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 262, 524, 786, 1048, 1310?\n\"Answer: 262*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 3*j - 1. Let u be o(-3). Suppose -4*v = 2*g + 2, -v = -2*g + 3*v + 22. Which is the nearest to 2\/3? (a) u (b) g (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 64773\nAnswer: 8\/21591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1515 by 3.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2282.5 + 2282. What is the third biggest value in 0.027, -0.1, 2, -0.3, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13746, -13738, -13726, -13710, -13690, -13666?\nAnswer: -13638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4771*s**2*x**3 - 3*s**2 + 3*s*x**3 - 157*s*x**2 + s*x - 12*x**2 wrt x.\nAnswer: -28626*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 0*v**2 - 9*v**2 + 29*v - 2*v - 28*v - 8*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l + 8 = q, -3*l + 4*q - 7 = 0. What is the fourth biggest value in 4, l, 0.1, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -4 - (-3)\/1. Suppose 2*n - x - 2 = a, 0 = 4*n + 3*x - 4 - 10. Let v(h) = -h**2 + 8 - h + 0*h - n + 0*h. Give v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0 (b) 1 (c) 353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/4*256\/320.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -650733, -650574, -650427, -650298, -650193, -650118?\n\"Answer: -r**3 + 166*r - 650898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 50. Solve 0*x + 22 = -2*x + 3*n, o*n - 8 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + a**4 + 0*a**4)*(-5 + 4 - 1)*(13 - 9 + 27).\nAnswer: -62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -26. Let m(t) = t - 5. Let x be m(a). Sort x, -2, -4 in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5\/118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {w: 6, x: 6, s: 1, t: 7}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*z - 3*z - 8, 3*p + 4*z = 12. Suppose 10 = -2*u - u + 2*g, p*u + 12 = 2*g. Let x be u\/(-9) - 56702\/9. Round x to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 16 = -3*d. Suppose -v = d*v. Suppose -q - 4*c - c - 5 = v, -3*c - 12 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*j + 27 = 0, -7*x + 12*x - 2*j - 7 = 0. Suppose -5*s + 2513 = d, 4*d + 0*s = x*s + 9983. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:38 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 42112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -49, -90, -149, -232, -345, -494, -685?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*h - 44, -44 = -o - 0*h - h. What is the least common multiple of o and -19 + ((-2)\/(-12))\/((-12)\/(-2232))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1407, 1476, 1545, 1614, 1683, 1752?\n\"Answer: 69*q + 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 832*x**4 - 514?\nAnswer: 3328*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8)*16\/30. Sort p, -3, -5 in ascending order.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24118, -48227, -72336, -96445?\nAnswer: -120554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -708 + 705. Let r be (-6)\/8 - (-2)\/(-8). What is the units digit of r*(2 + 95)*d\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) - 66\/(-14). Let a(v) = v + 51. Let l be a(-11). Suppose -2*m + 0*m + l = y, -h*m - y = -103. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24388?\nAnswer: 2, 7, 13, 67","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: b\"What is the tth term of -123, -319, -515, -711?\n\"Answer: -196*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -282 (base 11) to base 3\nAnswer: -110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-10 - -1) + (21 - 14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 454301 and 1341.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3788*g + 12772 wrt g.\nAnswer: -3788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 smaller than -964412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1258 not equal to -1258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 43277*s + 404. Does 116 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 + 9*q - 4. Let t be y(8). Solve 0 = 5*w - 3*k + 8, -7*w + 4*w = t*k - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 528 - 48. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-12) - 7)\/(-5 - 129\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42140.01 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/5 - 14424*h\/5 - 28832\/5.\nAnswer: -4*(h + 2)*(h + 3604)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*n = 72 + 15042 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 6. Calculate the remainder when 21 is divided by 9 - 8 - 20\/l*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 2*j + 65\/4.\nAnswer: -(j - 5)*(j + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(1\/3)\/b*b)\/b)**(-17)\/(b**(-16)\/(b\/(b*b*b*b**15*b*b)*b)) assuming b is positive.\nAnswer: b**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/799 - -16764\/3995. Find the common denominator of 0 + 1 - (-415)\/(-75) and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3647, -3685, -3759, -3875, -4039, -4257?\nAnswer: -4535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.98321 tonnes in nanograms?\nAnswer: 95983210000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 1 + 10 - -21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - 4*sqrt(98)*2) + (sqrt(98) - (3 + -1*sqrt(98) - sqrt(98))))*-2)**2.\nAnswer: 672*sqrt(2) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5097711?\nAnswer: 3, 1699237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 - 5*s + 7. What is x(-2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**2 + 261*n + 38. Give d(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(sqrt(75) + sqrt(75) + sqrt(75) + 0))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -1. Solve r*p - 7*p - 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose -4*z + 3*z + 4*v = -21, -z - 14 = 3*v. Solve -x*b = z + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17304 - 18.4467465?\nAnswer: -17322.4467465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 10, 5 in decreasing order.\nAnswer: 10, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 16*u**4 + 2*u**3 + u**2 - 4*u**4 as j*u**4 + k*u + m + f*u**2 + r*u**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 4, -2, -14, 5, -4 in ascending order.\nAnswer: -14, -6, -4, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + 2*(-9)\/6. Solve 4*a = 8, 5*s - a = -6*a - v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -3*f, -f - 4*g = 2*f + 10. Let m be f*1\/2*314. Let d = m + -4712\/15. Which is the closest to 0? (a) d (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/9, -0.2, 0.07, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - m)*(-1 + 1 - 2) + 30 - 97*m - 30)*(9*m**3 - 289*m**3 - 15*m**3 - 55*m**3).\nAnswer: 33250*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + -16 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -9. Let w(d) = 0 + 7 + 2*d**2 - 3*d**2 - 5*d. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1252*2\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c**3\/6 - 1389*c**2\/2 + 1700*c\/3 + 126.\nAnswer: (c - 378)*(c - 1)*(11*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 980 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, c: 1, r: 3, u: 1, f: 1}. What is prob of sequence ce?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -3*s**5\/20 + s**4\/6 + s**3 - s**2\/2 - 4*s + 24. Determine m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 41*v**2 - 299*v - 130. What is the remainder when 3907 is divided by s(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 9*u - 11. Let n be y(8). Let s(a) = -3*a**2 - 5*a + 2. Let g be s(n). Let p = g - -47. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 13. Suppose 35 = -15*d + b*d. Suppose 3*g - d = -1. Solve r = g*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 2*f**3 + 3530*f**4 - 66*f**2 - 2*f - 3531*f**4 - 2 + 1 in the form t*f**2 + q*f**4 + c*f + g + h*f**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1838.93757638 - -1870.44755. Let w = -31.51 + r. Round w to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:40 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44ada (base 15) to base 11.\nAnswer: 13a146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 4*a**3 - 44*a**3 + 0*a)*(294 - 446 + 280).\nAnswer: -5120*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/l**(2\/5)*l**(-1)\/l**(-2\/21) assuming l is positive.\nAnswer: l**(178\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 6. Let c be x(-7). Let i = 13 + c. Is 17 a factor of (-2)\/(-5) - (-83)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -13*w - 194 - 5*w + 95 + w**2 + 65. What is the remainder when i(20) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252 + 28*u + 252)*(-65 + 56 + 45).\nAnswer: 1008*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-9\/5)*o*o*o*o**10 assuming o is positive.\nAnswer: o**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 140?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/615*(-15)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576243 is divided by 57624.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1496.9 - 1497. Sort -0.4, b, 6, 1\/3 in descending order.\nAnswer: 6, 1\/3, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/124)\/(2\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21122 (base 4) to base 5\nAnswer: 4402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/144? (a) -32 (b) 2\/11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5340*m - 80. Let s be x(7). Round s to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7\/5)\/(k**(-34\/5)\/k) assuming k is positive.\nAnswer: k**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let h = 0 - -3. Let f(n) be the first derivative of -1 - n**2 + 4*n**2 - h*n**2 + 2*n**2. Determine f(d(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -0.3, 1, 0, 1\/3, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, 1\/3, 0, -0.3, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 51*g - 6. Let n be u(1). Calculate the highest common divisor of n and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 11*o**2\/2 + 5*o - 3. Let j(v) be the third derivative of -v**4\/4 - v**3\/2 - 23*v**2. What is 3*b(h) + 5*j(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329 and 5653771?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m - 2*v, 0 = m + 3*m - 3*v - 2. Suppose m*f - 229 = -0*f - 5*h, -5*h + 117 = f. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*m - 62, 3*m = -0*m + 4*u + 79. Let a be 14\/m - 20\/3. Let d be a\/21 + 60\/14. Solve d*n = -7 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 16 = 2*u - 4*m, 5*u + 4*m = 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 541, -5, 4, 5, -3 in descending order.\nAnswer: 541, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 7\/46, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65263 (base 8) to base 14.\nAnswer: 9d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1012544, 2025089, 3037630, 4050161, 5062676, 6075169?\nAnswer: 7087634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10910 and 417853?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -607838.5 - 0.\nAnswer: -607838.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-90) + (-4)\/10. Let u(p) = p**3 + 7*p**2 - 10*p + 8. Let f be u(-9). Let r be f\/28 + 2 - 20\/(-21). What is the third smallest value in z, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2 + 0*q**4 - 1 + 3*q**4. Let w(d) = -d**5 + 2*d**4 - d - 2. Let z(l) = 2*c(l) - 3*w(l). Find the second derivative of z(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:00 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 + 406*t + 141. Let o be r(-45). Solve 100*s = o*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/12 - (-129)\/84. Which is the second smallest value? (a) 108 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160700 rounded to the nearest ten thousand?\nAnswer: -2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 523*h - 44519. Give t(88).\nAnswer: 1505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*u - u + u - 2*u + (2 + 1 - 4)*(-u + 0*u + 3*u) + u + 0 + 0 - 1 + u + 1)*(56 - 15 + 74).\nAnswer: -460*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-8)\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - o = 6, d = -0*d + 2*o + 3. Put 5, -2, -3, d in descending order.\nAnswer: 5, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:07 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/757 in 5, -0.5, -50?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 3, q: 3, j: 3, f: 2, p: 1}. Give prob of sequence qx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10 + s**2 - 16 + 37 - 23 + 9*s. Let o be n(-11). Find the common denominator of (3 - 894\/72)\/(o\/(-6)) and -45\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.777 - 30664128.28\nAnswer: -30664131.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2520*j = 2077*j + 4430 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323275062?\nAnswer: 2, 53, 12483727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -120.047 and -168132.\nAnswer: -168252.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2902 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x - 12. Let z be (-9 - -31)\/(3 - 1). Is v(z) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1441110 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -10\/3*i**3 + 0*i**2 + 17*i + 25. What is the first derivative of r(h) wrt h?\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 8:56 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = -g. Let b be g\/(-14)*(-416)\/216. Let m = b + -4\/21. Sort -5\/4, 3, m in ascending order.\nAnswer: -5\/4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 97*p**2. Let s(k) = 1974 - 3*k - 1974. Give s(f(g)).\nAnswer: -291*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let v be l(-3). Let f be (8\/v)\/(22\/(-165)). Let n = -12 + f. What is the least common multiple of 9 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 9*h**2 - 9*h - 5. Let m be a(-8). Let p(t) = t + 7. Let c be p(-6). Solve 2*q + 16 = 2*i, m = 2*i + 2*q - c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - -11 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 0*g + 0*g + (3*g + g - g)*(9*g + 34 + 2*g**2 + 29 - 62) to the form h*g**3 + x*g**2 + f*g + w and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 7*p + 8. Does 9 divide c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*l**5 + 1090*l**4 + 18976*l**3 + 119088*l**2 + 282528*l + 140832 = 0. What is l?\nAnswer: -163, -6, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171\/(-38)*(321\/(-4173))\/(18\/16)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148363*x = -147785*x + 20230 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 96 - 350. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427969057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -72100 divided by 70?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/2)*u)\/u**(-1))\/((u\/u**4)\/u**(-1)))\/((u**4*u)\/(u\/(u**(-6)*u))*(u*u**(-1)\/u)**(-4\/21)) assuming u is positive.\nAnswer: u**(265\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 27, 50, 79, 114, 155?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -5*z - 41, 5*g - 40 = 4*z. Let u(t) = t + 3. Let s be u(z). Let y(m) = 58*m**2 - 3*m - 1. Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 25*f + 143. Let c be o(-6). Let x be c - (-30)\/(-3 - -6). Solve 3*k + 4*m = -0 + 7, x*k - 25 = 5*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**10\/(a**(5\/3)*a\/(a\/(a**(1\/17)\/a))))\/((a\/((a\/(a*a*(a\/a**(-2\/7))\/a*a))\/a))\/a*a**(-10\/3))**34 assuming a is positive.\nAnswer: a**(2699\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 6*y + 5*x + 87, 0 = -5*y - 5*x - 51 - 44 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17433\/(-260) + ((-27687)\/660 - -42)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-160)\/(-30)*369\/(-6). Let u = -2313\/7 - k. Is -5\/6 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.39240279 to 1 dp.\nAnswer: 178.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -33025?\nAnswer: 33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 5 + 25*g**3 - 27*g**3 + 6 - 25*g**2 + (4 - 4 - 1)*(4*g**3 - 3*g**3 + g**3) - 2*g**3 - 1 + 1.\nAnswer: -6*g**3 - 25*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**8\/6720 - b**7\/840 + b**6\/360 + 89*b**3\/6 + 32*b. Let u(o) be the second derivative of m(o). Factor u(f).\nAnswer: f**2*(f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 4*f = -64, 0 = 4*v + 4*f - 196. Suppose -v = -4*y + 20. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsyylttysmolt. Give prob of picking 1 y, 1 o, and 1 t.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 564*x**2 + 3 + 688*x**2 + 1144*x**2.\nAnswer: 1268*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168 + 172. Let p = -0.089 - -2.289. Sort 2, c, p, -4 in ascending order.\nAnswer: -4, 2, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -12.4417\nAnswer: 13.4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-9) + 6\/27. Suppose -w*d = -8 - 55. Let c = 29 - d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 244 + -260. Is -28*-10*(-6)\/s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let o be (q + -2)\/(2 - 0). Determine s so that 0*s + s**2 + 2*s + o + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6876 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-62)*41168\/332?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 - 16*l**2 + 42*l - 36 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:07 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*n - 6 + 21 + 13 + 0.\nAnswer: 242*n + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -4*b + 3*y - 275, 2*b - 5*y + 207 = 0. Let l = b - -146. Is 41 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 93.\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22380957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i - 1 + 1. Let m(f) = -2*f**3 - 2*f**2 + 2*f - 2. Let y be m(-5). Let b(z) = y - z - 188. What is g(b(d))?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -901 + 1778. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 127.93. Let r = l - 1.10024. Let z = r + 0.03. Round z to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6847 and 186873?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-380\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354856.\nAnswer: 2, 163, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 195364, 390631, 585872, 781081, 976252, 1171379, 1366456, 1561477?\n\"Answer: -v**3 - 7*v**2 + 195295*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, 4, 11, -86.\nAnswer: -86, -5, 2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 1. Let x = 10007 - 10011. Which is the third biggest value? (a) p (b) -20 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 790*x**3 - 786*x**3 - 9 as f*x + c*x**2 + u*x**3 + w and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -31, -134, 3 in increasing order.\nAnswer: -134, -31, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 7 + 3*w - 4*w.\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 31) + -28 + 124 - 43\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -136 in descending order.\nAnswer: 10, 2, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccqcxxxxxxpptqptt. Give prob of sequence pcqp.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l - 14. Let m be s(-2). Suppose 2*h = 2 + m. Solve 26 - 4 = -4*f - 2*x, 4*x = 3*f + h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 7*v + 4. Let h be t(7). Suppose -6*g - 8 = -4*g + 4*c, -2*g - h = 2*c. Solve r + 4*r = -5*w - 5, g = 4*w + 2*r + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/882 and 19\/546.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*r = -6, 0 = 4*c + 3*r - 7 - 15. Suppose -o - b - 13 = -6*o, c = 2*b. Suppose -w + o*w - 586 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -25*g - 1199. Give l(-52).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 21 = 3*y, -5*i = 4*y - 3*i + 38. Let f be (88\/y)\/((-7)\/63). What is the third biggest value in 3\/2, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.91 - -0.09. Let h = -317 + 438. Let a = h - 121. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 + 2*c**2)*(0 + 1 - 4)*(-2*c - 2*c**3 + 2*c).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1392120 + 27\/(-216) + 79\/(-8). Round f to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7223.2 + 7223. Which is the fifth smallest value? (a) 0.2 (b) 4 (c) -1\/6 (d) f (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.04, 3, 0.2, -0.3 in descending order.\nAnswer: 3, 0.2, 0, -0.04, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -53. Suppose 12 = -d*b + 7*b. Let k = 277 + -275. Solve -k*z + 3*z + b = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4539692, -18158791, -40857292, -72635195, -113492500?\n\"Answer: -4539701*h**2 + 4*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115982*o - 4*o**2 - 115982*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*g = -21, -11 = 4*q + 3*g + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 156 = -2*m, -z - z = -3*m - 218. Let c = m - -223\/3. Solve -2\/3*p + c + 1\/3*p**2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:26 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:19 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 148879, 10?\nAnswer: 148879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153768 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.34102 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2108*a + 120160. What is t(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 315607432 times -0.3\nAnswer: -94682229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -53, -159, -369, -719, -1245, -1983, -2969?\n\"Answer: -6*w**3 + 2*w**2 - 2*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:42 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3697632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*j - 8*j + 9*j)*(-3 + 2 + 2 + (3 + 2 - 6)*(-2 + 5 - 4) - 1 - 3 + 5 - 1 + 0 - 1).\nAnswer: -65*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428 + -433. Which is smaller: -39\/10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.7 in -2\/11, 3, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6744*i**3 - i + 2*i + i - 6755*i**3 + 5*i**4 in the form g*i + k*i**2 + p*i**4 + r*i**3 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (54\/315*70)\/(6\/(-26))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 1, -432, -5, -4, -13 in decreasing order.\nAnswer: 1, -4, -5, -13, -85, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2858 in ascending order.\nAnswer: -2858, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.813 * -0.22\nAnswer: 0.83886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3604 and 62116.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008960955 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/4 + 501*i**3\/4 + 125*i**2 = 0. What is i?\nAnswer: -500, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41752804.\nAnswer: 2, 19, 549379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (-2 - (-18 - (15 - 21))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bkbbbbbmbbbbbbbb.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1)*3)**2 + -5.\nAnswer: -108*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102782837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -17 + 3\/9*(-87)\/29\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) + (sqrt(68) - sqrt(68)*-2*-6))\/(2*sqrt(400) + sqrt(4)).\nAnswer: 50*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 835933217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 19*x - 90. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 26*v = 2*q - 257, 3*v + 233 = 2*q. Solve 25*d + 21 - q = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*r + 145*g + 10*r**2 wrt r.\nAnswer: -2*g + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + 2*sqrt(1216) - sqrt(1216)) + -2 + -2 + sqrt(1216))*-5)**2*-5.\nAnswer: -608500 + 8000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.85 to 0 dps.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.702 times 5\nAnswer: -3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a kilometer in meters?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from mhmhoqqhboqmmmhmb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32376291, 64752584, 97128877, 129505170?\n\"Answer: 32376293*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 13, 6.6, -1 in ascending order.\nAnswer: -1, 3\/8, 6.6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11212000012 (base 4) to base 10\nAnswer: 1466374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136896 - 136888.8771. What is n rounded to 1 decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -16*n + 2*w - 2046, 0 = -n - 3*w + 668. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 2*f - l, 4*l = -4*f. Let q(h) = 3*h**2 - 11*h + 2. Let w(g) = -g**2 + 6*g - 1. Let r(j) = 4*q(j) + 7*w(j). Is r(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 10a49ea?\nAnswer: -10a49e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from qeiihhihowoi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 x when four letters picked without replacement from {k: 4, x: 8, h: 4}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (300\/120)\/((-5)\/11)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - (-3 + -5 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -195, -150, -105?\n\"Answer: 45*j - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2570, 4769, 6968?\nAnswer: 9167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5844822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 + 4*w + 9. Let y be x(-4). Find the first derivative of 31*q + y + 4*q**2 - 31*q wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1062242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 196 + 415 - 9 as h + f*y and give h.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45415570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m\/(m**(-1\/8)\/m)*m*m)*m*m))\/m**(-1\/10) assuming m is positive.\nAnswer: m**(129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - 2 + 28*y**2 - 10 with respect to y.\nAnswer: 56*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 2\/7, -0.4, -95, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 3*u**5\/20 + u**4\/4 - u**3\/2 - u**2 + 1346*u. Calculate q(-4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-184)\/(-44)) + 2050\/22. Suppose 3*u = r + r - x, 4*r + 5*u - 153 = 0. Differentiate -42 - 2*s**3 + 111 - r - 46 with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0.4. Let i = 0.4 + h. Let j = 4.9 + -6. Which is the second biggest value? (a) j (b) -3\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.69 + 21.3. Let p = 0.39 + k. Which is the biggest value? (a) -0.1 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 52*g**2 + 474*g + 3003. Let w be v(37). Let c(r) be the second derivative of r**4\/12 - r**3\/2 + r. Determine c(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452939797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 20. Let p be 5 - f - (-1 + 1). Solve p*g - 4*g = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -119, -265, -411, -557, -703?\n\"Answer: -146*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -520, -17 in ascending order.\nAnswer: -520, -17, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -467964*j**5 + j**4 + 3*j**3 + 20180*j**2 - 21?\nAnswer: -28077840*j**2 + 24*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87142450503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = -2*l - 32, -2*k = 0. Is 54848\/60 + l\/120 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -10 + (2 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/287*11333\/(-4857).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -44*f**2 - f. Suppose 6*b = b - 5. Let j be w(b). Let z = -31 - j. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 135*x + 5. List the prime factors of n(-31).\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70337.39g in milligrams?\nAnswer: 70337390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:17 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5168)\/266*7\/(-2) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -148.3?\nAnswer: -444.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 481 - 481. Which is the closest to f? (a) 6\/5 (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {c: 2, t: 1, r: 2, x: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n = 3*g + 69*n + 4, -20 = -4*g + 5*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2754501 years?\nAnswer: 0.0002754501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 17 (c) 0.2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225 (base 12) to base 3.\nAnswer: 102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + z + 21 = 5*z, 0 = -2*x + 5*z - 7. Let t = 47 + -69. Let f = x - t. Calculate the remainder when 41 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 19, -2\/13, 0.5, -9\/5 in ascending order.\nAnswer: -9\/5, -2\/13, -1\/7, 0.5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 51. What is the remainder when 38 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*2)*1 - (sqrt(84) + -5*(sqrt(84) - 2*sqrt(84) - sqrt(84) - sqrt(84))))\/((sqrt(3072) - sqrt(3072)*-1 - sqrt(3072))\/sqrt(4)).\nAnswer: -17*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**3 + 4*i**2 - 5*i - 5. Let y(s) = -s**3 - 6 + 5*s**2 - 6*s**3 - 3*s - 3*s. Let w be 3\/1*(-1 - 1). Calculate w*a(c) + 5*y(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pogogggpplgzg. Give prob of picking 4 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -231, 0.3, -2, 5, 1.3, -0.4, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.158 - -0.157945. Round g to six dps.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55990 and 7634?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*5)\/sqrt(12) - (4 + sqrt(13)*-4)) + (2 + -1 + (2 + sqrt(13)*1 - sqrt(13)))**2)*3.\nAnswer: 15 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 2. Suppose f - v - 7 = 0, 0 = -5*v - 15 - 5. Let i(g) = 1 - g - 5 + f - 2. Calculate i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1689l in millilitres?\nAnswer: 67168.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2872, -1 in increasing order.\nAnswer: -2872, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8036772 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107316, 214197, 321078?\n\"Answer: 106881*x + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.17939 times 6.1\nAnswer: 1.094279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 2*c + 1. Let d(m) = m**2 + 3*m - 3. Let p be d(-4). Let l be z(p). Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 - (4 + 26 + -2 + -12 + (-3 - 0))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 108 = -5*c, -q = 5*c - 6*q - 100. Let s(g) = c*g**2 - 19*g + 55*g - 19*g - 17*g. Let x(u) = -3*u. Determine s(x(l)).\nAnswer: 198*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l**4)\/(l\/(l**5*l)*l*l\/(l\/l**(-2\/7))) assuming l is positive.\nAnswer: l**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1741, -5716, -9691, -13666, -17641, -21616?\n\"Answer: -3975*f + 2234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 34*d**2 + 12*d. Let p(w) be the first derivative of -2*w**3\/3 + 103. Determine r(p(c)).\nAnswer: 136*c**4 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 + -8. Solve -140*b + h*b = -35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4))\/((-18)\/12). Suppose -3*m - 27 = -3*l - 0*m, 2*l = -4*m - 12. Let q be (-6)\/4 - (-2)\/l. Which is bigger: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1142 + 42*i - 1142)*(-4 + 3 + 3 - 2*i).\nAnswer: -84*i**2 + 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23264 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2, -20, -0.147, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 - 15*g**3 + 10*g**3.\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603810510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 67*z**2 + 5. Let c(k) = 100*k**2 + 7. Calculate -5*c(o) + 7*f(o).\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((5\/5)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - (-24)\/9. Find the common denominator of -45\/11 and i - ((-290)\/(-12) - 4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 16*y + 6. Let o be r(12). Let c = -56 + o. Let w be (c\/(-4) + 0)*-2. Solve 4*x = -5*l + w, 0*x + 5*x - 4 = 2*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 + 26 = -5*j, -2*j = 5*p - 5. Let z(f) = f**2 - 5*f - 2. Let w be z(6). Let c = -5 + w. Put c, j, 0.5 in descending order.\nAnswer: 0.5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-4))*d**(-13)*((d*(d\/(d*d*d\/d**1*d))\/d)\/d)**(-13) assuming d is positive.\nAnswer: d**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 3, t: 3, k: 1, l: 2, m: 1}. Give prob of picking 1 t and 2 b.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -497840*t**3 + 27716?\nAnswer: -1493520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12301023 (base 4) to base 11.\nAnswer: 19913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90947 at most as big as 90947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 8, u: 1}. What is prob of picking 4 e?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -321a (base 13) to base 14\nAnswer: -2768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1296*i*r**4 + 1577*i*r wrt r.\nAnswer: 15552*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -0.92 (c) 308 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.6 + -1.2. Let z = g - 16. Round z to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299178 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -43*o**3 + 4*o**2 + 4*o + 4. Let c(s) = 43*s**3 - 5*s**2 - 5*s - 5. What is 4*c(z) + 5*f(z)?\nAnswer: -43*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 3, f: 4, z: 1, a: 1, j: 1, t: 5}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + -13?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -353, -3000, -10193, -24206, -47313?\n\"Answer: -379*c**3 + c**2 + 3*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 - 4*g**3 + 0*g**3 + (g**3 + g**3 - 3*g**3)*(3 + 0 - 2) + 0*g**3 - 2*g + 5*g**3 - 3*g**3 in the form v*g**3 + x*g + y + h*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(794\/72 + -11) + 219\/(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122 + -d?\nAnswer: -12f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642 divided by 2?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 121*g - 586. Let h be m(5). Let v(y) = y + 1. Let f(c) = 24 - 2*c**2 + 22*c - 45 + 43. Determine h*v(k) - 2*f(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o*o**(-10))*o)\/o)*o**(-22))\/((o\/(o**10\/o))\/o*o)**33)**37 assuming o is positive.\nAnswer: o**8621","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 3*i**3 - 4*i**3 + (3*i + 4*i + 3*i)*(0 + 1 - 6)*(6 + 4 - 15)*(-i**2 + 0 + 0 + i) as l + q*i + a*i**3 + n*i**2 and give n.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3963245 by -5.\nAnswer: 792649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 3*u)*(-u**2 - u**3 + u**2) + (4*u - 3*u - 5*u)*(11*u**3 - 9*u**3 - 6*u**3) + 4 - 11 - u**4 + 0*u**4.\nAnswer: 17*u**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 121. Let f = -238\/3 - v. Find u, given that -f - 8\/3*u**3 - 6*u**2 - 4*u = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (742*z**3 + 268*z**3 - 139*z**3)*(-1 + 0 + 2) + 0*z + 0*z - 3*z**3 to the form k*z + w*z**3 + q + s*z**2 and give w.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 h when three letters picked without replacement from ehmto?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -9*v + 221. Calculate the greatest common divisor of 46 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/((t**5\/t)\/t)))\/(t\/((t*t**(-11))\/t))*(t*(t\/(t*t**(2\/5))*t)\/t)\/t**(1\/4) assuming t is positive.\nAnswer: t**(-193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -34.\nAnswer: 81\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*w - 9. Suppose 0 = -3*v + 2*c + 13, 4*v - 18 = 2*c + c. Suppose g = -v*g, b - 5*g = -5. Sort 1, w, b.\nAnswer: b, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112473 is divided by 1136.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201222 + 12?\nAnswer: 2202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5547 and -20.\nAnswer: -11.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6)\/b*(b*((b**(3\/5)*b)\/b)\/b)\/b)**(-20\/3)*(b**1)**(-2\/83)\/((b*b\/b**(-3\/2))\/b*b*b\/(b*b\/((b**(-3\/4)\/b)\/b))) assuming b is positive.\nAnswer: b**(42721\/996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 30 = 26*s. Is 19 a factor of (44\/s)\/(44\/2090)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 4312?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/(-21) - -3) + 6 + (-154)\/(-105)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -130, -239, -348, -457, -566, -675?\n\"Answer: -109*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 170. Round o to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*t**4 - 4088*t**3 - t**2 - 4360010*t?\nAnswer: 1320*t**2 - 24528*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29295 - -29297. Which is the nearest to o? (a) -3 (b) -4\/7 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-4*f - 18*f + 7*f)*(-20*f + 0*f + 3*f).\nAnswer: 255*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*w - 11, 3*v + 6 = 2*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.382 - 10.482. What is the fifth smallest value in -2, 1, -1\/8, x, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.254 - 1.48. Let o = 0.226097 + r. What is o rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7875 - -17524. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-448)\/48 + 8 - 2\/(-2). Let p = -1.2 + -4.8. Let o = p + 5.4. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/17))\/(w*w**(-6)*w)*(w**(-1))**(-2\/19) assuming w is positive.\nAnswer: w**(1611\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**3\/2 - 3*l**2 - 683*l. Let g(o) = -8*o - 17. Calculate -4*g(t) + 11*v(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0117 + -57.4917. Let m = c + 58. Let u = m + 2.48. Put u, 1, 0.6 in descending order.\nAnswer: u, 1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by (24\/(-48))\/((-1)\/202)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3 - 6*h**3 + 4*h**3 + 2 + 2*h + 0*h. Suppose 3*w = w - 46. Let l = 25 + w. Give v(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 698953.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171596 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.3 + 8. Let f be (-1)\/(-17) - 14526\/91460. Sort f, 0.1, c in decreasing order.\nAnswer: 0.1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*r - 1097*u + 1100*u, -4*r + 5*u + 44 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15803528.\nAnswer: 2, 13, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*s + 0*s - 50 = 0, -3*s = 12. Let b be (y\/15)\/(-1)*3. Let z(t) = 2*t + 1. Give z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -94. Let j(a) = -33 - v + 28 - 4*a. Let w be j(-12). Solve -c - 1 = w*p, 2*p + 6*c = 3*c + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 179*s**2 + 15*s - 317. List the prime factors of q(12).\nAnswer: 25639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r + 0*r - r)*(-2*r + r + 0*r) + 276*r**2 - 114*r**2 - 456*r**2)*(2*r + 2*r**2 - 2*r).\nAnswer: -590*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 663\/7. Let g = -0.07 + 0.37. What is the closest to 0 in g, -0.03, n?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 - 6*y - 4. Let b be f(7). Suppose 4*a - 44 - 33 = b*v, a - 4*v - 29 = 0. Calculate the remainder when 50 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -1.1. Let t(z) = z**3 + 8*z**2 - 10*z - 9. Let p be t(-9). Let u = p - -4. What is the third smallest value in u, -2, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.1 plus 3?\nAnswer: -40.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 14*c + 17. Let p be ((-42)\/(-18))\/(1\/6). Let b be o(p). Suppose n - b = 7. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -20, -40, -60, -80, -100?\n\"Answer: -20*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = b + 10, 31*h = 3*b + 30*h - 5. Sort 3, 5, b, 14.\nAnswer: b, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 55 = -2*b - h, 3*b + 5*h = 35. Suppose 31*c + 352 = -c. Let a = b + c. Solve -2*o = o - a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -3*u, 0 = -2*y - 3*u + 7*u - 8. Suppose 7*k - 20 = y*k, 3*k + 138 = 3*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {z: 4, k: 1, j: 1, b: 1, f: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n + 3*n - 22 - 110 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 2809812.\nAnswer: 2809811.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Suppose 0 = -h + u*z - 10, 2*z - 1 - 3 = 5*h. Sort -3, h, -4 in descending order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*b**3 + 8*b**3 - 15*b**3)*(5 - 31 - 32) to a*b + f*b**3 + j + w*b**2 and give f.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2 + 14\/8). Let k = c + -10. Suppose 0 = -15*s + 51*s. Sort 4, -4, k, s in increasing order.\nAnswer: -4, k, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 16036501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5402*h. Let l(o) be the third derivative of o**4\/12 + 4*o**2 - 105. Determine l(g(s)).\nAnswer: 10804*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*z - 0 + 18, -2*x = z - 15. Suppose x - 15 = -i. Let d = i + -3. What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 42.88. Let s = j - 4.26. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by 170?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20053 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/((-5)\/3). Which is the third smallest value? (a) x (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 6*g - 142155. Let n = -6532 + g. Suppose -22*s + 5*s = -n. What are the prime factors of s?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 46915, -4, 15 in descending order.\nAnswer: 46915, 15, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 0 - -5*(sqrt(17) - sqrt(425) - sqrt(17))) + -1.\nAnswer: -24*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 27893*d**3 - 4292*d**2 + 2*d**4 + 27893*d**3 - 55786*d**3 in the form k*d**4 + i*d**3 + h*d + a + b*d**2 and give b.\nAnswer: -4292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*g + g - 356 = 0, -5*d = -3*g + 374. Let u = d - -127. Let n = u - 31. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 16 = -9*r. Let y be 4928 + r + -4 + -2. Round y to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -14\/5, -0.2, 3\/8, -1\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 623a + -42?\nAnswer: 61a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 - 39 = 14*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*r + 25*r**2 - 8 + 8 - 27*r**2.\nAnswer: -2*r**2 - 89*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*q + 65*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90055 divided by 7.\nAnswer: -12865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*o + 214 = 0, -38*d - 42*d = -78*d + 2*o - 108 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-65)\/(-25))*1. Solve -r*o**2 + 0 + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -11 - -7 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156268, -312536, -468802, -625066, -781328, -937588, -1093846?\n\"Answer: z**2 - 156271*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*a - 178, -3*a + 300 = 3*i + 2*a. Calculate the common denominator of 1\/18 and (-2890)\/136*2\/i.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 508*m\/3 - 1169.\nAnswer: -(m + 7)*(m + 501)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-1.82\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -232 - 14?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(182)\/(2*(sqrt(7) - -1*sqrt(7))))\/(sqrt(12)\/(sqrt(384) + sqrt(384) + sqrt(384)*2)*6) + -5.\nAnswer: -16*sqrt(13)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -91 - (4 - (8 + -3)). Let w = 178 + s. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121.6 in 0, -0.1, -0.347?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m**2 + 5*m**2 - 5*m**2)*(9 + 2 - 1 + (1 - 2 + 2)*(0 + 0 + 5))*(-m**2 - 8*m**2 - m**2).\nAnswer: 1800*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/(-81) + -5)\/((-8)\/1224)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126892997 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000149 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4603158 is divided by 2035?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j\/j**4)\/(((j*j**(-10\/7))\/j)\/j**(-8)) assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - 55*s**2 - 86*s - 65. Calculate l(-26).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65581 (base 10) to base 9.\nAnswer: -108857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*4*(-3*sqrt(99) - sqrt(99))*4)\/((2*sqrt(900) - sqrt(900)) + (3*sqrt(1089) - sqrt(1089))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 433 + 105 = 0. Let d(p) = -2*p + 14. Let k = -27 + 20. What is the remainder when f is divided by d(k)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v + 12. Let d be (10\/v)\/((-4)\/6). Let o = d + -3. Solve -5*z - 18 = -3*b, -5*b + o*z = -b - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22 - 20 - (-2 + 1). Calculate the common denominator of 55\/12 and 987\/(-60) - p\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215984 a multiple of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -50\/51, -0.4, 4\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 6*f**3 - f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-4)\/14*73920\/66. What is the greatest common divisor of u and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42421412 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpppjpjpjpjpjjjdjpjj. What is prob of picking 3 j?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + 7*k - 5. Let l be r(-8). Calculate the common denominator of (50*l\/6)\/3 and 79\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34338 divided by -194?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/4892 + 50741\/22014. Calculate the common denominator of 191\/2100 and b.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16ef9c + b8?\nAnswer: 16f054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - (-1 + 8 - (-23 + 29))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 + 7 = 0, -25 = -u - 3*o. Suppose 3*f = -3*y - f + 3, u = 5*y - 2*f. Suppose y*c - 906 = -c. What are the prime factors of c?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -12 + -2 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 94*j**2 - 162*j - 306. Is f(-95) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 287*p + 186. What is r(-8)?\nAnswer: -2110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 5 - 23*s**2 + 13*s**2 + (s + 3 - 3)*(21*s - 194 + 194) as i*s + l + k*s**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 52878*t. Let w(d) = -2*d. Calculate w(v(z)).\nAnswer: -105756*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + w**2 - 3*w + 6. Let f be m(-3). Suppose 744 = f*z - 70*z. Round z to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2. Let f be 12\/(-3)*(-8)\/48. Let h(b) be the first derivative of 0*b**2 + 3 + f*b**3 + 0*b. What is h(a(c))?\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 30. Let l be 6\/(-21) + k\/14. Calculate the remainder when 1*44*1 + l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 49. Let h(p) = -p**3 - 16*p**2 - 64*p - 3. Let g be h(-8). Let t(q) = q + 23. Let z(a) = g*f(a) + 5*t(a). Let b(l) = 3*l**2. What is b(z(d))?\nAnswer: 3*d**2 + 192*d + 3072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 502.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let i = -4 + 2. Let v be i\/5*(-15)\/3. Solve -n*d = v, -k + 0*k + 4*d = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -65.1.\nAnswer: -1.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5)*3)**2*1.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*v**2 - 800*v**2 - 277 + 172 + 105 + 403*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/9 - 23*o**2\/9 + 13*o\/3 - 2.\nAnswer: (o - 3)*(o - 2)*(4*o - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4 + 7 - 10 + 23*i. Let g be t(1). Suppose -g = -0*k - 3*k. Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9497714*t**2 - 5489*t + 375 wrt t?\nAnswer: 18995428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + 570\/9. Let p(g) = -g**2 + 5*g + 5. Let v be p(4). Calculate the highest common factor of i and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = 4*v + 4*w, 2*w + 6 = 0. Find the third derivative of i**2 - i**4 + 10*i**v + 9*i**4 wrt i.\nAnswer: 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 21*n + 22. Let r be c(10). Let z = r + -113. Put z, -3, 0.2, 0.09 in descending order.\nAnswer: 0.2, 0.09, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2741, -2, 102.\nAnswer: -2, 102, 2741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*d + 35*d + 36*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -106, -68, -10, 74, 190, 344?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + s - 17, -r - 19 = -11*s + 9*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -1, 0, 40 in increasing order.\nAnswer: -1, 0, 40, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) -10515 (c) -0.38 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:08 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69882, 150118, 230354, 310590, 390826?\n\"Answer: 80236*h - 10354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114932*d + 110595*d + 177817 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:12 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -37801640 < -37801642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24704 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7932 is divided by 947?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 - 5*f + 3. Let q(a) be the first derivative of a**3\/3 + 2*a**2 + 9*a + 78. Calculate the least common multiple of q(-3) and o(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9124 (base 11) to base 16\nAnswer: 2f5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/12, -0.02, -2\/7, 4\/3, -2\/4495?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)*l*l*l**(3\/4))\/((l*l**(-2\/3))\/l)**(-45) assuming l is positive.\nAnswer: l**(-335\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.39 - 53.39. Which is the nearest to p? (a) -4 (b) 3\/46 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -459, -759, -1059, -1359?\n\"Answer: -300*j - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, 5, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3255, 4246, 5237, 6228?\nAnswer: 7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12431858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -4)\/2*1. Suppose 5*p = 3*k + 543, 4*p + 803*k - 815*k = 396. Let z = -4 - -6. Sort p, 1, j, z in increasing order.\nAnswer: 1, z, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 - 7*u - 4. Let b be j(4). Does 2 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + 4*m, 0 = -3*f - m + 3553. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1244, -5, 10, -4 in ascending order.\nAnswer: -5, -4, 10, 1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0593343373 - -126.0593069373. Let c = n - 126. What is c rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13876)\/(-7395908)*(78 + 0).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242105022 (base 6) to base 2.\nAnswer: 10001011110011100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*y + 9972, -2*y + 4*s = 2*y - 7956. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6*(-9)\/2124)\/(3\/(-4)). Let d = -65 + 68. Let v be -4 + 22\/4 + d\/(-6). Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -1\/2, 1, -1891845?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10*s = 12*s + 32, 0 = -2*s + 8. Suppose -590 = -g*q + 5770. List the prime factors of q.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46835527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 38. Let z be n(11). Suppose f + i - 8 = -3*i, 0 = -5*f - z*i + 100. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432322 (base 5) in base 14?\nAnswer: b0ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22640 and 6792?\nAnswer: 67920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k - 6 + 435*k**2 + 6*k - 439*k**2 + k**3. Let n be m(3). Suppose n*g + g = 2*t + 6, -21 = -4*t - 3*g. Solve -a = t*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138113179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let y(z) be the first derivative of 3*z**2\/2 + 5. Determine y(u(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 251713986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3 - 55 - 3*d**2 + 7*d**2 + 55 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = 3*c. Let x be 8\/40 + 1\/c. What is the second biggest value in -7, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 440?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 14*q**2 - q + 15. Let b be h(14). Let l = 4 - 12. Let y(s) = -s - 1. Let a be y(l). Solve b = 2*o + a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 1299 - 213 - 217 - 221 - 208 - 222 - 215.\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = -49*n + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 43. Let j(x) = 27*x - 932. Let l be j(41). Calculate the highest common factor of l and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.066 in -2\/13, 0.0671, -5, -1\/4?\nAnswer: 0.0671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5)*g**1)**21*(g\/((g\/(g**(-1)*g))\/g))\/(g\/(g\/g**(-2\/13)))*g**(2\/11)*g*g**(4\/3) assuming g is positive.\nAnswer: g**(79942\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {z: 3, w: 3, p: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1060 and 42800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 - 7*r**4\/24 - 3*r**2. Let a be g(7). Suppose 5 + 4 = -3*d, 2*v = 3*d + 27. Solve -5*t + v + 6 = a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -37*f**3\/4 - 49*f**2\/2 + 63*f\/4 + 18 = 0.\nAnswer: -3, -24\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, p: 4, k: 1, s: 1, m: 1, r: 1}. Give prob of picking 1 m and 1 p.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = y - 3*a, 2*a - 12 = -5*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 17, r: 3}. Give prob of picking 4 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 76*q - 8. Determine y(-87).\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 13. Let k be x(-13). Let q = k - -49. Which is the third smallest value? (a) q (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 143. Suppose -3*l - 35 = -4*n + 28, -n + 37 = -5*l. Let b = v - n. Put b, -3, -2 in descending order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from bbbwbbwzzbbwibw?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 110. Let b = 16 + j. Let d be (16\/(-18))\/((-4)\/b). Is d less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from zzccccccccccc?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 62*h**2 - 12*h. Does 13 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 33 + (-93 - -90)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.7 + -16.7. Let u = -8 - -22. Which is the nearest to 0? (a) -4\/5 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h - 4*u + 10 = 0, 0 = -4*h + 5*u - 17. Factor j**h - 13 + 13 + 3*j - 4*j.\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2004*k + 16020. What is f(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 636*r**2*z**3 - 8*r**2*z - 15409*r*z**4 + r*z**2 - 208*r*z - 9*z**2 + 1 wrt z.\nAnswer: 3816*r**2 - 369816*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 263133449*s**2 - 220413190 wrt s.\nAnswer: 526266898*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20 - 17\/(68\/(-60)). Which is the smallest value? (a) 4 (b) -0.2 (c) l (d) -7\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92740?\nAnswer: 2, 5, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 712*16.8\nAnswer: 11961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1274*s**2 + 104914 - 104914)*(-3*s + 3*s - s).\nAnswer: -1274*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1769 and 12139?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1071, -1075, -1079, -1083, -1087?\n\"Answer: -4*p - 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + r**2 + r. Let l(o) = -2*o**4 - 14*o**3 - 21*o**2 - 7*o. Suppose -8 + 22 = 7*t. Let y(u) = t*l(u) + 22*v(u). Solve y(n) = 0 for n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2745204, -2745203, -2745202, -2745201, -2745200?\nAnswer: -2745199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*b - 40 = 47, 2*a = -3*b + 89. Let x(c) = c**3 - 46*c**2 + 2*c - 91. Let v be x(a). Sort -1, -7, v in ascending order.\nAnswer: -7, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-90)\/63))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156794 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 60. Suppose -3*l - 14 = -2, 0 = t*n - 2*l - 504. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 7. Let d be a(10). Let z be ((-2)\/d)\/((-23)\/207). Solve -z*i + 25 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*y - 13, l + 4 = -5*y - 7. Is 4 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 4, p: 6, c: 1, m: 2}. Give prob of sequence mjm.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 + 56*x**2\/9 + 506*x\/9 - 560\/9.\nAnswer: -2*(x - 35)*(x - 1)*(x + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*f**3 + 245*f - 245*f + (-4*f + 4*f + 2*f)*(f**2 + 2 - 2).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa43 (base 11) in base 3?\nAnswer: 2222020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 177842326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/18)\/((-1)\/2). Let q = 13 + -6. Let s(t) = -t**3 + 6*t**2 + 9*t - 10. Let x be s(q). Which is the closest to i? (a) x (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -957 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -17*b + 2*n + 5672, 4*b = -n + 5678. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(4860) + (sqrt(4860) - ((-5*sqrt(4860) + sqrt(4860))*-1 - sqrt(4860))) - sqrt(4860)))\/(6*(5*sqrt(48))\/sqrt(4)*2).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/82 and -22.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/5 - 221164*t**4 + 65248662*t**3\/5 - 185797944*t**2 - 199068840*t = 0. What is t?\nAnswer: -552969, -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4) - 2)\/((-81)\/(-90)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 6. Let s(k) = 94*k**2 + 940*k - 2820. Let l(d) = -s(d) - 470*z(d). Let a(c) = 19*c**2. Calculate a(l(f)).\nAnswer: 167884*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuhunhuuuoouuu. What is prob of picking 1 h and 3 u?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**5\/2 - 5*d**3\/3 - 7*d. Find the second derivative of w(g) wrt g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78d + -1eab?\nAnswer: -171d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -44. What is the second biggest value in 2\/3, a, -0.1, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 6*sqrt(44)\/sqrt(4)) + (sqrt(55) + (sqrt(55) + sqrt(55)*1 - sqrt(55)))\/sqrt(5))**2 + -2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 w when four letters picked without replacement from {e: 1, w: 3, y: 2, d: 2, n: 2, r: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 63, -3, 113 in increasing order.\nAnswer: -3, 2, 63, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(12\/3))\/((-33)\/(-22)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -2*d - n, d - n = 123 + 20. What is the remainder when 456 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7582444686613 + -5?\nAnswer: 7582444686608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171198*r**3 - 3*r**2 + 13390*r - 12 wrt r.\nAnswer: 1027188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*q + p - 4 = 127*q, 20 = -5*p. Calculate the highest common divisor of q and 4646.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173.5 + 174. Which is the smallest value? (a) -0.1 (b) 0 (c) 2\/5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -240*q - 3662 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 353870*z**3 + 6263675400*z**2 + 87636260000*z + 250348880000 = 0. What is z?\nAnswer: -35380, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -1\/42*o**7 + 1\/6*o**6 - 5\/6*o**3 + 1\/2*o**2 - 1\/2*o**5 + 5\/6*o**4 + 0 + 2*o. Factor v(h).\nAnswer: -(h - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 12, -3*y + 198 = -4*k. Let d = 60 - y. What is the least common multiple of d\/10 - -7*13\/5 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a = 275 - 64 + 29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31548, -63090, -94634, -126180, -157728?\nAnswer: -189278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 5*q + z, q + 18 = -4*z + 77. Suppose 2*a = 3*a + 4, -d + 5*a + q = 0. Calculate the remainder when 105 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 7*i**2\/2 - 12. Let n(o) = -18*o. Give h(n(r)).\nAnswer: -126*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 62.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**3*p*w*x + 196*i**3*w**2*x - 3*i**3*w*x + 11*i**2*p**2*w + 2*i**2*p*x - 4*i*p**2*w**2*x + 3*p**2*w wrt w.\nAnswer: 392*i**3*x - 8*i*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -s, 3*c + 2 = 4*c. Let t be -3 - (-8)\/2 - s. Do 1\/25 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3024\/154)\/24*-7*4\/42.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-2)\/19 + 1843\/361).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -115?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -c - 4*x, 0 = -2*c + 3*x + 15 - 154. Let b be c + 77 + 4\/1. Factor b*i**2 - 8*i + 8\/5.\nAnswer: 2*(5*i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-13)\/3)\/(0 + 8\/(-48)) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 1585205944*o - 157054867805808196.\nAnswer: -4*(o + 198150743)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 - 8*l - 10. Let s be x(7). What is s rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1134204 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 12*k + 13. Let g be x(1). Determine w so that -3*w**4 + 0*w**2 - 21\/2*w**5 + g + 0*w + 0*w**3 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679850\/1125 - 1*2\/10?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*k - 1, -2555*k + 2559*k = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/9 + 8*q**4\/3 - 14*q**3\/9 - 112*q**2\/3 + 808*q\/9 - 160\/3 = 0.\nAnswer: -4, 1, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*k + 2*w - 20 = -244*k, -w = -5*k + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10901, 11130, 11511, 12044, 12729, 13566?\n\"Answer: 76*y**2 + y + 10824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 143. Suppose 21*h + q = 22*h. What is the second smallest value in 3\/4, h, -2\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 19*w - 8. What is the least common multiple of p(18) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269 - 264. Sort o, 7, -1.\nAnswer: -1, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -224 - -894?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 0.5, 333749 in decreasing order.\nAnswer: 333749, 1, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z + 3*h, 4*z + h - 9 - 9 = 0. Solve 2*l - z*l - 6 = 0, 0 = -2*d + 2*l + 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5156113 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 - -227. Does 6 divide -18*z\/30*20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = -3*d - 0*d, -3 = 3*g. Let z(l) = -l - 4*l**d + 3*l + 10*l**2 + 6 + 7*l**3. Let i(r) = 13*r**3 + 11*r**2 + 4*r + 11. What is 6*i(p) - 11*z(p)?\nAnswer: p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/13 + 9\/52. Let r = -0.7 + 4.7. Suppose -k = 3*q - 0*k, -5*k = -3*q - 18. Which is the nearest to q? (a) -2\/11 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 26*s**2 + 20*s + 5. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(5\/2)*l)\/l**10)\/(l**(-27)*l**5*l))**(-11\/6) assuming l is positive.\nAnswer: l**(-319\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 0.3, -0.12, -45\/29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**(2\/115)*(o**1)**(-16\/3) assuming o is positive.\nAnswer: o**(-1844\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5105 (base 9) to base 3\nAnswer: 12010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by -4 - (-11 + (3 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.8 and -0.022369856.\nAnswer: 3.777630144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.0133, -3\/5, -12\/5, -0.1 in ascending order.\nAnswer: -12\/5, -1, -3\/5, -0.1, 0.0133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 4:54 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-56)\/(-700))\/(8\/50))\/(-2*1\/428)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 631 = -4*s + 206, 285 = 2*t - 3*s. Let 261*m - 134*m - 7 - t*m - m**2 = 0. What is m?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/4 and -1\/1522615.\nAnswer: 6090460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 22 = 2*q + 26, -3*q + 13 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 + 1229\/4. Calculate the common denominator of (-586)\/(-84) - (-8)\/12 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 37 = r. Suppose -2*h = -3*h + r. Does 18 divide -1*2 + 1 + h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 + 2 = 0, 0 = -3*w - 3*t + 36. Put w, -8, 4, 1 in descending order.\nAnswer: w, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from zjpcppjpjzzpzcoppc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 4. Let d(y) = 2 + 0*y**2 + i*y**2 - 2547*y**3 - 5*y + 3*y**2. Let a be d(6). What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Solve -b - b = -u*f + 13, 17 = -b + 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88636\/10015 or 8?\nAnswer: 88636\/10015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 - 5. Suppose -3*w + 3 + 9 = 0. Suppose 4*f = -0 - w. Which is the nearest to f? (a) y (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 11288.\nAnswer: 124168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 1573317*l**2 + 17 + 1573534*l**2.\nAnswer: 217*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.184.\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5499 is divided by 551.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8)**(-20) assuming c is positive.\nAnswer: c**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 + 509*l**2 + 4015*l + 3507 = 0. What is l?\nAnswer: -501, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116633454 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203848\/13 - -15664. Let s = 340\/39 - c. Let p = s - 25. Sort p, 0.2, 2\/5 in ascending order.\nAnswer: 0.2, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y + 6. Let l(f) = -26*f - 18. Let a(v) = 4*l(v) + 11*w(v). Let t be a(-4). Suppose -2*c = -3*c + t. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 533590, 4268607, 14406502, 34148713, 66696678, 115251835, 183015622?\nAnswer: 273189477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 + 0*o - 1\/6*o**3 - 2*o**2 - 1\/15*o**5 + 1\/120*o**6 + 0*o**4. Determine t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134953*a**5*c**2 + 58*a**5 + a*c**2 + 175*a - 5928 wrt a?\nAnswer: 2699060*a**3*c**2 + 1160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 2. Let h be x(-5). Suppose 2*j - 4624 = 5*j - 2*t, 4*j + 6166 = h*t. What is j rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14687*f**2*m + 3220*f*m + f - 2*m wrt f.\nAnswer: 29374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.176?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*y = -1201, -5*y = 11*k - 6*k - 2055. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2241 = -2*z. Let s be z\/81 - 2\/9. Let p = 2 - 1. Is s != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 5*y = -22*s - 7*s + 60*s - 61, 0 = -3*s + 2*y + 63 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:54 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 391, -168, -1091, -2372, -4005, -5984?\n\"Answer: b**3 - 188*b**2 - 2*b + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -61. Let w = -2\/155 + 7\/62. Put w, 0.3, n in decreasing order.\nAnswer: 0.3, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4539 * -0.5\nAnswer: 2269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 + 1)) + 4 - (1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 3*k + 658174. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - c**2 + 9*c**2 - 3*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*h - 35017, -49*m + 54*m + 4*h = 174990. What are the prime factors of m?\nAnswer: 2, 11, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97885 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41880 is divided by 2193?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + 78. Suppose -m + a = 3*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d0b (base 15) to base 14.\nAnswer: 10da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 - 4*p - 4*p**4 - 5 + p + p**2 + 56*p + 3 to b + d*p + l*p**4 + u*p**2 + i*p**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782776199 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821*w = -830*w - 171. Let b(s) = 5*s - 5. Let j be b(5). Let o = j + w. Let a(h) = -7*h**2 + h. Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-52*u - 4*u**3 - 2 + 52*u).\nAnswer: -4*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 + -14)*(1 + -776). Let p = -775 - n. Let -2\/19*l**2 + 2\/19 + p*l = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-190)\/(-4) - 1\/(-2). Suppose -13*u + 11*u = -i. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Let p = 15 - 13. Let s(i) = 3*i**3 - 4*i**3 + 604*i**2 - 599*i**p - 6*i + 6. Determine s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 29, 36, 51, 80, 129?\n\"Answer: y**3 - 5*y**2 + 13*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3274 - -7839. What are the prime factors of r?\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.64545701 - 913\nAnswer: -984.64545701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/13 + 1003996*o\/13 - 2008096 = 0. What is o?\nAnswer: -502024, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*h = -1440*h + 720*h - 21 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 2. Suppose 2 = -5*y + 4*q - 0*q, -2*q = 5*y + 14. Let w be (-4)\/(2\/y + 3). Calculate the remainder when 28 is divided by r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92031 - 6604 + 11147 = 2734*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005058306 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/775 - -17831\/2325. Suppose 5*p - 40 = -5*x, 5*x - 5*p - 4 = 26. Is m at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 + 12*h**3 - 6*h**2 - 12*h + 9 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 782050.18 minus 0.033776?\nAnswer: 782050.146224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -964 * -1250\nAnswer: 1205000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -146762 - -a8?\nAnswer: -1466ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3659 + 3654. Let s = -13\/6 - -47\/30. What is the closest to 0 in q, s, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 7. Let g(m) be the second derivative of -5*m**3\/6 - 3*m**2 + 5*m. Let d(v) = -7*g(v) - 6*k(v). Let a(s) = -8*s**2. Calculate a(d(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 34. Let d = 14.8 - t. Let r(s) = -s + 8. Let k be r(6). Put k, d, 0.4 in ascending order.\nAnswer: d, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670.704 centuries in decades?\nAnswer: 36707.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcggggcgggg. What is prob of picking 2 g and 1 c?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/((s**(-3\/7)*s)\/s)*s*s)*s)**40 assuming s is positive.\nAnswer: s**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6338*i - 48. Let y be v(-4). Round y to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-30))\/(3\/(-18)))\/(188\/1692)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 380 - 3*i**4 + i**3 - i + 6*i**4 + 0*i**4 - 383 to p + o*i**4 + h*i**3 + w*i + c*i**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:28 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33288 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 7:45 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201 (base 3) in base 8?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*a**4*u**2 + 2*a**3*u + 112*a**3 + 4*a**2*u**2 + 2*a**2*u + 3*a**2 - 72*a wrt a.\nAnswer: -384*a*u**2 + 12*u + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -26*k**2 - 3*k + 1. Let d(o) = 23*o**2 + 2*o - 2. Calculate 2*c(r) + 3*d(r).\nAnswer: 17*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*h - 19, 0*v + 4*v - 10 = 5*h. Suppose 4*a = 2*m + 16, -v*m + a - 8 = -a. Suppose -5*l + c + 174 = m, -4 = -2*l - 5*c + 44. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6169.266 years?\nAnswer: 616.9266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5332 - 5332.104. Sort 2\/5, -0.8, 1\/4, f.\nAnswer: -0.8, f, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 2239055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2)*(-82)\/(-5535)*-30\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 919.151 millennia?\nAnswer: 9191.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14975397 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-294)\/(-35))\/7)\/(6\/(-40))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*n**4 - 7493*n**2 + 488378*n + 2 wrt n?\nAnswer: -168*n**2 - 14986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/90 - 2\/(-4). Let k be 8\/56*-1*23. Let z = k - -29\/28. What is the biggest value in z, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*v**4*x - 2*v**3*x - v**2*x - 813*v**2 wrt v?\nAnswer: 4128*v*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.066 and -0.09.\nAnswer: -0.00594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 7. Let l be i(5). Let w be 3 - (-12)\/(3 - -1). Let t = w - l. Sort 12, t, -4 in decreasing order.\nAnswer: 12, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -158. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*f - 566*f + 8610 = 0 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 479 - 469. Suppose -c - 7 = -17*w. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 4 + 17 - 5 - 7862*u)*(0*u - 4*u + 2*u) to b*u**2 + x*u + w and give b.\nAnswer: 15724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5491877 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258 - -328. Suppose 7*k + 180 = 2*k. Let j = -8 - k. What is the greatest common divisor of q and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - 20 - (9 + (-13 - -18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -12*o**2. Let j(c) be the third derivative of 0*c + 1\/8*c**4 + 0*c**3 + 0 + 17*c**2. Determine j(v(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9584.136 days in microseconds?\nAnswer: 828069350400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 803319 != 803353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 x when three letters picked without replacement from ooorrrrcox.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 5*y - 1. Let g(z) = z - 9. Let f be g(9). Suppose 4*w + 0*w - 20 = f. Calculate the least common multiple of w and u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6434993819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-1)*(-71 + (-15429)\/(-222)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -15, -5, 0.1, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -1285790?\nAnswer: 1285790.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/4305360 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 = q. Let j be 5*q\/30*-6. Let m be (0\/(-1))\/(j + -4). Solve -3*b - h + 7 = -m*b, 3*b = 4*h + 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 + 5.31. Let z = -14 + 12. Sort 0.5, z, i in decreasing order.\nAnswer: i, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmmmncnmn. Give prob of sequence lccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 3*r - 6 + 2*r - r - 6*r. Let m be l(9). Let g = 5 - m. Are g and 3\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 227*f - 50*f - 4425. Suppose 3*j = -2*b + 48 + 10, 5*b = -2*j + 145. Let k = b - -42. Calculate the remainder when k is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51301450?\nAnswer: 2, 5, 1026029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 - (-30)\/(-28). Let v = k + 13\/14. Let j = 1474 - 1470. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 + -292. Let g = -100 - f. Is -7\/4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 59*c - 916. What is f(18)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38059307 a multiple of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*q**3*s**2 + 4*q**3 - 60*q**2*s + 1799908*q*s**2 wrt q.\nAnswer: -444*q*s**2 + 24*q - 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17460 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223341465.\nAnswer: 3, 5, 14889431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -92.8. Which is greater: q or -3.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1428381.99989 - -1428358. Let v = n - -24. Round v to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mememmmeommlommlmooo. What is prob of sequence mele?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -0*b - 140. Differentiate -83 - b + 127*c - 11 wrt c.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/48 and -38\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -4\/3 (c) 29 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 + 5*a**2 - 2*a + 2*a - 23*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 31*j**4 - 65*j**3 + 33*j**2.\nAnswer: j**2*(j - 1)**2*(j + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**6\/1620 + w**5\/270 + w**4\/108 + w**3 + 1. Let z(c) be the third derivative of t(c). Suppose z(b) = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 5*s**2 - 7. Let k be a(-3). Let p(t) = t**3 - 10*t**2 - 10*t - 15. Let b be p(k). Put -3, -5, b in descending order.\nAnswer: -3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2*(-4)\/(-10). Let f = 10 - 8. Let m = f + -2.5. Put u, 1, m in descending order.\nAnswer: 1, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/53 (b) -2 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3122022, 6244206, 9366390, 12488574, 15610758?\nAnswer: 18732942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.18059 and 3051.7.\nAnswer: 3067.88059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -2, -3*r - 3 = 2*m. Let b be -5*(m - 26\/(-10)). Does 18 divide (-51)\/(-1) - (b - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*t = 20, 3*n = 2*t + 9 + 2. Suppose n = 7*q - 6. Let o be 1*(4 - 2)*1. Solve q = 2*a + 3*f - 2, -o*f + 2 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, b: 2}. Give prob of picking 1 z and 2 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -60. Solve 2*i = 3*d + i - g, d + 4*i = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/8)\/(75\/480).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264 + 260 - (-1 - -20)) + (-2 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5419.03 and -193.1.\nAnswer: -5612.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/3 + 8*v**4\/3.\nAnswer: 2*v**4*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*k - 62*k + 77*k.\nAnswer: 299*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**2 + a + 1. Let s be m(2). Suppose -s = -2*q + q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -57*r - 1. Let n(p) = -169*p - 3443. What is n(u) - 3*v(u)?\nAnswer: 2*u - 3440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -194?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1103 + -1103.000000609. What is n rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*s - 6 + 11, 11 = 5*j - 2*s. Let g(h) be the first derivative of 74 - h**3 + 1\/4*h**4 - h - h**2. Give g(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 8*m**3 + 13*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*x - 6975. Suppose 4*y + 50 = -5*b, -4*b - 3*y = -6*y + 71. Is 13 a factor of 6\/b - x\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7638036 a multiple of 1151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55, -57, -59, -61, -63, -65?\n\"Answer: -2*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15949?\nAnswer: 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/11)\/((-4)\/104). Is t less than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**2 + 14*z + 99. Let g(l) = -4*l**2 + 6*l + 50. Let p(j) = 7*g(j) - 3*r(j). Suppose 2*v = 4*v. Is p(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*l**2 - 2*l - 27*l**2 - 3*l**3 to the form p*l + n*l**3 + k*l**2 + h and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267 = -166*x - 15*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39540701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77806296.\nAnswer: 2, 3, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (3 - -5 - (38 + -36)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 + 12 = 0. Let o(g) = -g**2 - 55*g - 450. Let m be o(-45). Sort -1, v, m, -2 in decreasing order.\nAnswer: m, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828758 is divided by 481.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from {f: 7, s: 5, l: 5, u: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11807184*i**4 + 20*i**2 - 569*i - 25.\nAnswer: -283372416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3126.424 hours?\nAnswer: 11255126400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(3 - 1 - 3)*(-1 + 11*r + 13*r - 29*r).\nAnswer: -10*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 19818902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 911*z**2\/4 - 1829*z\/4 - 2739\/4.\nAnswer: (z - 3)*(z + 1)*(z + 913)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134377 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.51 + 1.49. What is the nearest to -2.5 in -2, -2\/11, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 243?\nAnswer: 243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -58, -5, -25 in decreasing order.\nAnswer: 3, -5, -25, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/((-2)\/((-4)\/3)). Suppose 5*v = t*v. Suppose 0 = -2*m + 5*y - 1 - 8, v = -3*y + 15. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -29 in descending order.\nAnswer: -4, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + 105. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6191, -6188, -6183, -6176?\nAnswer: -6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27177945 is divided by 2090609.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 9. Sort u, 4, 1 in decreasing order.\nAnswer: u, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-5)*t)**(-8)*t**(9\/4)*t**(-2\/29) assuming t is positive.\nAnswer: t**(-6243\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32265635 and 12976.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose -5*w + 206 = o*g - 16, 4*w - 196 = 3*g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/165 - -817\/660. What is the closest to c in 3\/4, -2\/9, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t - 13971. Let m(j) = -57*j. What is l(m(g))?\nAnswer: -684*g - 13971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55 + 30*j**3 - 15*j**2 - 15*j**2 + 30*j**2 wrt j.\nAnswer: 90*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31328 by 16.\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*j**3 + 301*j**2 + 283*j**2 - 6 - 583*j**2 + (0*j**2 + j**2 - 2*j**2)*(4*j - 5*j - j).\nAnswer: -47*j**3 + j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcc when three letters picked without replacement from {n: 1, c: 4, r: 3, i: 5, e: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 198*n**2 - 3171*n + 24. Determine u(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -z - 5*o + 1576, 3*o + 4332 = 3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:22 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 140 + -19 - 30?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6928 - 3903. Calculate the greatest common factor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let z = 4 + d. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*n**3 + 48895*l**3*n + 65768*l**2*n**4 - 2*l**2 wrt n?\nAnswer: 12*l**3*n + 789216*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 g, and 1 a when four letters picked without replacement from afgafzggfafaf.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 230, 347, 464, 581, 698?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157933161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 749399861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -15*c - 228. Let r = c - -130. Which is greater: r or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -27\/14 (b) 0.15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*j**3 + j**2 - 4*j - 69?\nAnswer: 228*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 3*d + 27*d**2 + 23 + 109\/12*d**4 + 0*d**5 - 1\/30*d**6 + 0*d**3. Differentiate j(q) with respect to q.\nAnswer: -4*q**3 + 218*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.00946um in kilometers?\nAnswer: 0.00000008700946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4100171392 and 20.453.\nAnswer: 4100171412.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 6:25 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y. Do -2\/9 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/15 - 680*c**3\/3 + 318632*c**2\/15 - 495552*c = 0?\nAnswer: 0, 40, 58, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**2. Let w(n) = 4*n**2. Let v = -4 + 4. Suppose -b - 2 + v = r, -2*b - r - 8 = 0. Give b*f(a) - 14*w(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2704 + -1003. Let z = -707 + f. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.61376 months in millennia?\nAnswer: 0.00588448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 11*q**2 + 12*q + 10. What is a(-8)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(2 - 3). Suppose 2*f + c = 4 + 1, -7 = -4*f + c. Let a be (f\/(-3))\/(12\/18). Put -6, o, a in decreasing order.\nAnswer: o, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0290248466 rounded to four decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69405073 minus -180.32?\nAnswer: 69405253.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671679?\nAnswer: 3, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5 - 210*x**4 + 4045*x**3 - 13410*x**2 + 9576*x = 0.\nAnswer: -228, 0, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -16, 0.019, 2, -49, -0.1, -112?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16606 minus -1401320358?\nAnswer: 1401336964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p - 746*p - 35244 = 0 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(37*m**4 + 207*m**2 - 207*m**2) + m**4 + 0*m**4 + m**4.\nAnswer: 76*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 11*q**2 - 23*q - 2. Let u be x(8). Let g(m) = 3*m - 7. Determine g(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 64?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2005*s**2 + 2 + 1325*s**2 - 1532*s**2.\nAnswer: -2212*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 - u + 1. Let y be c(5). Let w be -1*0*y\/16. What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d8 + -2?\nAnswer: -2da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(3*d + 2*d - 6*d) + (2 + 0 - 5)*(-200*d + 73*d + 94*d) to x + c*d and give c.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 10*x**2 + 27*x - 12. Let r(c) = c**3 - 2*c**2 + 3*c - 6. Let f be ((-22)\/(-55) - (-14)\/(-10))*-3. Let p be r(f). Is v(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 = -5*i + 448, -2 = -2*b - 2*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.19 less than -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583*k**3 + 199 - 1116*k**2 - 154*k**3 - 96 - 103 wrt k.\nAnswer: -4422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 5*d + 4*w, -5*d - 3*w = -15. Solve -3*k + 2*u = -d*u + 21, -3*k + 5*u = 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538481 is divided by 5983.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q - 3. Suppose -4*r + q*u + 26 = -10, -3*r = -3*u - 30. Suppose 56*a = 61*a. Sort a, r, 4 in increasing order.\nAnswer: a, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758200 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srlqsbqqlsqqrqrqbs. Give prob of picking 2 l, 1 s, and 1 q.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/18 - (-1)\/3. Suppose p*f = 5*f. Solve z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147123347?\nAnswer: 7, 21017621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209 + -189. Let s be (-1 + 1)*(-1 + 0). Solve -5*v + y = -s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 29988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3018 + 5189. Let h = 2167.124 - z. Let q = -0.024 + h. What is q rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -385, -359, -313, -241, -137?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*s - 8, -46*s + 124 = 510*f - 509*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 16, -2*h = -0*h + 4*c - 13478. Calculate the lowest common multiple of 11 and h.\nAnswer: 74041","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*u + 7103 = 55*u - 10460. Suppose 14 - 170 = -4*m. Let j be (m\/(-2))\/(-3)*2. What is the highest common factor of j and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 q when four letters picked without replacement from {e: 9, q: 5}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*s + 0*s - 2*s)*(0 - 2 + 0) - 2*s + 0*s + 0*s)*(0 + 3 + 2*s - 4).\nAnswer: -12*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 22, 4, -0.14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {x: 5, s: 6, o: 1, r: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81542935205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 104*r - 893. Give g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.220024 rounded to one dp?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*j**2 - 8522*d**3*j - 16*j**2 - 68*j - 2 with respect to d.\nAnswer: -3*d**2*j**2 - 25566*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n = 5837438 - 5836802 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*u - 1854696 = 787196 - 202653. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crccrcccccrcrrrccrc. Give prob of sequence cc.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109442275835948 - -109442184067807.999802. Let a = h - -91768348. Let m = 208 - a. What is m rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m - 105. Let w be m\/(-7)*(2 - (0 - 2)). Let q be -830001 + ((-4)\/w - 4\/(-3)). What is q rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 + n**5\/12 - 5*n**4\/24 - 7*n**3\/6 - n**2. Let l be o(-5). Let t = l - 10. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -129*u**6 - u**3\/3 - 831*u + 4450. Find the third derivative of t(d) wrt d.\nAnswer: -46440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79281)\/(-11490))\/((-3)\/5).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15993668 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 + 33*i**2 - 13*i - 122. Let y be n(-10). Calculate the highest common factor of y and 1386.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -9*w + 4*w. Let s = -6 + w. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-27))\/((-6)\/10*310\/(-279)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k**(-1))\/(k**1)**(-35\/2) assuming k is positive.\nAnswer: k**(367\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -k + 30, -3*k + 2*i = i - 129. Suppose 34*g - k*g = -40. Let x(c) = -c - 7. Calculate x(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(88) + 4*sqrt(88)) + sqrt(88))\/sqrt(4))\/(-3*(sqrt(198)\/sqrt(6))\/sqrt(3)).\nAnswer: -26*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 44. Let k = 0 - o. Let t = 68 + k. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a - 73*a**2 - 4\/9*a**3 + 0 + 1\/36*a**4 + 41\/180*a**5 + 1\/36*a**6. Factor k(h).\nAnswer: (h + 4)*(2*h + 1)*(5*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.04 (b) 6\/7 (c) 2\/13 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 12*r + 2. Give y(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 29*i + 235. Let n be a(-8). Solve 37*r**4 + 3*r**n - 37*r**4 - 4*r**5 + r**3 + 3*r**5 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let u = -0.44 + 0.04. Which is the closest to m? (a) 3 (b) u (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4283 or -4249?\nAnswer: -4249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*t + 14 - 66, t - 5 = 0. Let s(r) = -r**3 + 7*r**2 + 11*r - 11. List the prime factors of s(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 9 = -3*b, -121*b = 20*g - 122*b + 65 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3049, -6090, -9117, -12130, -15129?\n\"Answer: 7*c**2 - 3062*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -8\/5 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -78. What is the third biggest value in 3\/4, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -418?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225909?\nAnswer: 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3 + g**2\/2 + 176*g + 10771. Let t(r) = -r. Give b(t(i)).\nAnswer: 3*i**2 - i + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -25*g + 1. Let v be a(3). Let k be 1 - -1 - (v - 1). What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-19))\/((-122)\/2318). Suppose 4*o + m = 3*m + 126, 4*m = -3*o + 67. Let k(f) = -o*f**2 - 25*f**2 + 44*f**v. Let b(c) = -3*c. Give k(b(d)).\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 123, 177, 241, 321, 423, 553?\n\"Answer: m**3 - m**2 + 50*m + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from bybwy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -163. What is the third derivative of -22 + 45*r**5 + 11*r**4 - y*r**5 - 25*r**2 + 23*r**2 wrt r?\nAnswer: 180*r**2 + 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 15*m = -4536. Let h = 649 + m. Which is the smallest value? (a) 2 (b) h (c) 3 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/13)*g\/g**0*g assuming g is positive.\nAnswer: g**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.197 + 2.197. What is the closest to -12 in -6, -0.4, i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*f + 2*v - 25, -3 = -3*v. Suppose f = 4*w + 20. Which is the third biggest value? (a) -0.5 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v - k - 2, -4*v = 5*k + 12. Let l be 11*7\/v*-2. Let n = l + 117. Calculate the remainder when n is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 555 = -3*h, 2*h - 8*j + 12*j = 348. Suppose 3*l + 2*g - h = -g, -15 = -3*g. Calculate the remainder when l is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + 16180\/6 - (7\/(-3) - -1) is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -750 - -750.5. Sort -22, -1\/4, t.\nAnswer: -22, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 44. Let j(u) = -u**2 + 7*u - 1. Let p be j(4). Let r be 552\/p - (-6)\/(-33). What is the greatest common factor of r and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 57*j**2 + 2*j - 489. What is the ten thousands digit of z(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*2\/(-6) + -5. Let p be w*(388\/(-15) + 4\/(-5)). Suppose 0 = -5*q - 3*j - 0*j + 89, 0 = -5*j + 15. Calculate the greatest common divisor of q and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 17. Let s = j + -22. Let l = 15 - 15.2. Which is the closest to s? (a) -2\/11 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/(-60)*(-12)\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + 138.15. Let n = 1.7 + r. Let d = -1.15113 - n. Round d to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (37 - 23) - 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2411693\/493845 - -2020\/451. Let p = -1\/219 - f. Sort p, 19, -5, -1\/4 in decreasing order.\nAnswer: 19, p, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -217*d + 3 + 432*d - 230*d - 1. Let b(n) = -8*n + 1. Determine -5*b(r) + 2*y(r).\nAnswer: 10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*u - 6 = 0, -10 = -0*o - 3*o - 5*u. Suppose -4 = -4*q - o. Let c(g) = 3*g - 1. Calculate c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -123*o + 8177. Let m be k(76). Do -10540\/9 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n + 2*d, -4*n + 6*d + 39 = 3*d. Solve 0 = -4*v + 3 + n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 356898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-6)\/4)*0. Let h = m - -2. List the prime factors of -8*(0 - 1\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-2\/5)*y)\/y)\/(y\/y**3))**(-1\/23)*(y*y*y**(-1\/3))**(3\/31)*y**(-3\/4)\/y*y*y*y*y\/(y**(-3)*y)*y assuming y is positive.\nAnswer: y**(74437\/14260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62\/3 + (-24)\/36. Suppose 2*s = 4*z - f, -25 = 4*s - 6*z + z. Suppose s = 3*u + 4*u - 14. Solve 3*l + 10 = -5, -2*x - u*l - 14 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.9 + 33.91192. What is v rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 590, 591, 592?\n\"Answer: q + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-184)\/(-8) + -23)*(-1)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 5. Let k(i) = -2*i + 1. Let q(o) = -19*o + 99. Let f(t) = -6*k(t) + q(t). Let y be f(14). Which is the nearest to 4? (a) -3 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1728106713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0\/(-4)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6682.912g?\nAnswer: 6.682912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2066 + 2062. Let g be (-10)\/(-15)*18\/(-4). Let f be g + 20\/(-16)*-3. Which is the nearest to 2\/5? (a) f (b) 1\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-81)*(-9)\/48.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -19, -22, -25?\n\"Answer: -3*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 900512?\nAnswer: 900512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 71.23918 meters?\nAnswer: 7123.918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/27 - (-2)\/((-6)\/25). Let h be (-1)\/(o\/(-36))*(-68)\/3. Let k = -93 + h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/10)\/u)\/u**(6\/5) assuming u is positive.\nAnswer: u**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252453 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-40350)\/459)\/2. Let p = 836\/17 - i. What is the common denominator of -35\/6 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 98. Let h = 2 - 0. Sort 4, t, h in descending order.\nAnswer: 4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -230, -419, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 4) to base 10\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-165))\/(56\/350).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -13. What is the lowest common multiple of (3\/2)\/(3\/4) and (-10)\/((-1 - 2) + u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2008, 4012, 6016?\n\"Answer: 2004*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u - 2. Let o be q(-1). Suppose -4*k = 4, o*j + 2*j + k = -89. Does 4 divide j\/55 - 164\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03163217 - -0.05400865. Let n = j + -54.08549582. Let y = -54 - n. What is y rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:53 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 + 3*q**3 + 123411*q**2 - 2265414*q?\nAnswer: 36*q**2 + 18*q + 246822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:53 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - 1. Let n = -12 - j. Sort 4, n, 0.5.\nAnswer: n, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*v - 27*v**2 - 421*v + 35*v**2.\nAnswer: 8*v**2 - 1666*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-56) - (-3)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -322, -647, -972, -1297, -1622, -1947?\n\"Answer: -325*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**6\/120 - w**5\/10 + w**2 - 6. Let o(p) be the second derivative of d(p). Find the third derivative of o(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Let o(i) = i**2 - 2*i**2 + 2*i**2. Give o(l(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333048 is divided by 51271.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 78. Let v be j - (-1)\/(-3)*(-24)\/8. Solve 3*p - 5*r + 2 = 0, -2*r + 1 + v = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 183360219285873?\nAnswer: 183360219285872.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38233007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1530*g - 4593*g = -1535*g - 1533*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*k - 4261210 = 0, -3*k - 1763387 = -4*v + 3918198. What is v rounded to the nearest ten thousand?\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 678, 1250, 2188, 3492, 5162?\n\"Answer: 183*a**2 + 23*a + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from spsspp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 7*d**2 - 6*d + 11*d**2 + 7*d**2.\nAnswer: 21*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3104044 and 8536121.\nAnswer: 34144484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*-1*sqrt(130))\/(5*sqrt(90) + 3*(sqrt(10) + sqrt(40))).\nAnswer: -5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s - 22*s + 41*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 74\/(-10) + 6\/15. Find the common denominator of ((-1)\/3)\/(h\/(-17)) and 111*(-8)\/108 - -5.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 equal to 238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r - r - 2*r)*(20*r - 5 - 16*r + 6).\nAnswer: -60*r**2 - 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5510 + 495913\/90. Find the common denominator of i and 47\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 4*z + 4. Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 68639 = -5*z - 68713, 5*w - 111 = -3*z for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 164*i**2 - 318*i + 1033. Determine y(-162).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4208\/(-464) - -9) + (-32649)\/(-348) + 6\/(-8)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*f - 27 + 0 = 0, -5*f = 0. Let d = x - 2. Suppose -3*r + d = v + 2*r, 0 = 3*v - 4*r - 75. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -509029495, -509029497, -509029497, -509029495, -509029491, -509029485, -509029477?\n\"Answer: y**2 - 5*y - 509029491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21436692 + -9533884. Let l = m + -5202808. Round l to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -0.554.\nAnswer: -2.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3816)\/504)\/53*(-2)\/4\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31614.\nAnswer: 2, 3, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (553*d**4 + 255*d**4 - 236*d**4)*(-d - 4 + 4)*(-1 - 3 + 3).\nAnswer: 572*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 15. Suppose 3*s - 8*s = -4*j - 70, s + 4*j + 10 = 0. Let m = s + a. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*m + 53 + 5 = 0. Suppose 3*j + 5*o = 10, 6 = 4*o - 2. Let r(h) = j + 4 - 2 - 2*h + m. What is r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = 0, -6*i + 10*i + 3*p - 6227 = 0. List the prime factors of i.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + t - 5, 2*j + 3*t + 15 = -10. Let p = 7 + j. Solve -2*d = p, -4*d - 1 - 3 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3004 + 3.9004. Let q = 1 - 0.6. Let a = -4.6 + -0.4. What is the closest to 2\/3 in j, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -10*a + 330. Suppose -5*m - a = m. Let y = m - -38. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*j - 5*i - 0*i, -16 = -2*j - 4*i. Let a be (-66)\/5 - j\/(-60). Let p = 32 + a. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - 46 - 18 - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 518708 a multiple of 1915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 - -238. Suppose -58*h + 126 = -o*h. Solve 5*n = 4*q + q - 5, -4*q - h = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.23533 (b) 2 (c) -7 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 5)*1\/(-6). Let w(o) = o - 1. Let v be w(g). Let c be 0 + 8\/(2 + 0). Solve -c*k + v = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -10, -30, -60, -100, -150, -210?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + (1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1\/(-2)*40\/(-190)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327333770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*m**3*v + m**2*v**3 - 2*m*v**3 - 165*m*v**2 + m wrt m.\nAnswer: 576*m*v + 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + b**2 - 8*b - 9*b - 91*b - b**3 - 6 + 3*b**3 as a*b**3 + q*b**2 + v + h*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1*6 - sqrt(91) - (sqrt(91) + ((sqrt(91) + (sqrt(91)*-1 + sqrt(91) - sqrt(91)))*-2 - sqrt(91))))\/(sqrt(77)\/(2*sqrt(1331))).\nAnswer: -154*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -36. Factor s**c - 26*s**3 + 25*s**3 + 0*s**5.\nAnswer: s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -23 + 2. Find the second derivative of -7*i**2 + a*i**2 + 3*i + 2*i + 3*i**3 wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {u: 1, r: 5, w: 6, e: 2, l: 1, m: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2e?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdjdsy. What is prob of picking 1 y and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/95))**(4\/3) assuming q is positive.\nAnswer: q**(8\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -688979*p*q**5 + p*q**3 - p*q**2 - 3*p*q - 1982*p + 73*q wrt q.\nAnswer: -13779580*p*q**3 + 6*p*q - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.059, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -246\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by (1\/1)\/(11\/121).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38226.02 millilitres to litres.\nAnswer: 38.22602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/2 + 2222*q - 2468642 = 0.\nAnswer: 2222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26843.58 centuries in decades?\nAnswer: 268435.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 3*a + a + (3*a - a + a)*(-3675 - 2364 - 3196 + 971 + 1019) to b + j*a and give j.\nAnswer: -21737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 14)*(-4 - 12*i**2 + 11*i**2 + 0).\nAnswer: -7*i**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 8. Let q be b(4). Let x be -3 - q - (2 + 1). Let i be 2\/20*(-2 + x). Put 0.1, -1, i in decreasing order.\nAnswer: 0.1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 6*z - 2*z)*(-z**3 + 2*z**3 + 0*z**3).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1812 + -1816. Sort z, -3\/2, -190\/9 in increasing order.\nAnswer: -190\/9, z, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18297b022 + -1?\nAnswer: 18297b021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*a - 42 = 0, 5*a = 5*n - 0*a - 160. Calculate the greatest common divisor of 46 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2063528000 to the nearest one million.\nAnswer: -2064000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -18827, 45.29 in descending order.\nAnswer: 45.29, 0.2, -4, -18827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 309*n + 415*n + 82*n + 4 - 28*n to the form a*n + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2991.6 (b) -1\/3 (c) 3 (d) -4\/9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 171*s + 170. Let c be l(-1). Solve -6*d - c = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:05 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -13*j**5\/5 - 7*j**4\/8 + j**3\/2 - 45*j**2. What is the second derivative of d(r) wrt r?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 5*b - 55*k + 54*k + 26, -3*b + 28 = -3*k + 94 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1\/6*i**3 + i + 9 - 19\/2*i**2. Give j(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 - 6*h + 489 + 6*h + 5*h**2 + 0*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/367 (b) 708 (c) -0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 51 = 43, 3*r - x + 22 = 0. Put r, 6, 1 in ascending order.\nAnswer: r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*v - 6*v = 310, 234 = 3*o - v. Find the first derivative of -30 - o - 57 + 155*b**2 wrt b.\nAnswer: 310*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4152130 + -112?\nAnswer: -4152242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65628618 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 62, 46, 24, -4, -38?\n\"Answer: -3*y**2 - y + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.036 + -3.964. What is the third smallest value in v, 3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 280*l + 4202. What is t(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -952, 0.1, 0.2, 4\/3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + 3. Suppose 0 = 19*i - r*i + 10257. List the prime factors of i.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -36184 less than -36185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 0*j + 121 + 12*j**2 - 11*j - 105. List the prime factors of w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 197 - 9764 = -f, 4*f = s + 38310. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45504)\/(-6636))\/(60\/(-42))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2800\/70*(-1192)\/447*3\/4?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127168689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*n + 40 + 246 = 0, 4*n - 342 = -5*q. Calculate the remainder when 177 is divided by q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108572865 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:25 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 8*y**3 + 45*y**4 + 3645124*y**2 + 1 - 3645124*y**2 as j*y**3 + d + z*y**2 + h*y + b*y**4 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 7*z - 4. Let r be (6 - 1) + (-3 - -1). Calculate the remainder when 22 is divided by y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1900)*2 - ((sqrt(1900) + 1)*2)**2.\nAnswer: -7602 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {c: 5, f: 8, y: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1521512\/(-221150))\/((-4)\/(-50)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1326, 5, 4, 16 in descending order.\nAnswer: 16, 5, 4, -1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 52. Let b(o) = 3*o + 35. Let f be 14 + (2 - 7 - 1). Give f*b(j) - 5*t(j).\nAnswer: -j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -2, -3 in decreasing order.\nAnswer: -2, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 3*m + 133 - 70, 47*d + 4*m + 544 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1107\/17329 + -7\/403. What is the third biggest value in -6, -1\/2, p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*f - 3142, -5*y = 4*f + 2642 - 10501. Let o = y + -760. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5 + 5*a - 3*a - a - 3*a. What is the smallest common multiple of u(0) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2541 + -2540.8. What is the closest to 0 in -2\/5, -100, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162212 divided by 4.\nAnswer: 40553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = u - 7, -1 = 2*q - 4*u - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 times 27523?\nAnswer: -118348.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 914959*a**3 - 3253675 wrt a.\nAnswer: 2744877*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 36 = -9*t + 4*t, v - 4*t = -20. Let u = -57 + 400\/7. Which is the smallest value? (a) 1 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*f + 4487, 2*f = 3*a - 0*a - 6759. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2800 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 449240 and 9680?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 3\/2, -3, 0.6 in descending order.\nAnswer: 3\/2, 0.6, 0.5, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 265824257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24078, 24074, 24070, 24066, 24062?\n\"Answer: -4*f + 24082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 17 = -12*y. Which is smaller: 11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -674*q - 1750. What is the least common multiple of u(-3) and 24?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -24*n + 857. Let p be o(38). Sort 5, 2, p in descending order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 2, x: 2}. What is prob of sequence xyx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 444 and 2796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/260 and -23\/8?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*(p\/p**(4\/3)*p)\/p))\/p)**(-2\/3))**(4\/19) assuming p is positive.\nAnswer: p**(16\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8853\/23 + -385. What is the fourth smallest value in o, -3, 3\/4, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 7*y + 88218 = 0. Is y\/(-9) + (-14)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3186 divided by -5.\nAnswer: 3186\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -1)*2\/(-6). Suppose 3*j = -4*d + 35, 0 = -d + 2 - 0. Calculate the highest common factor of v and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 648*g + 26244 = 0 for g.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -52.56. Let i = v - 0.63. What is the nearest to 2 in 0, -3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 34*u + 21*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - l + 3. Let i be g(0). What are the prime factors of 4 - 8*i*-2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 11*y**2 + 101 - 101.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - ((-12360)\/5)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*q + 24*q**2 + 14*q**3 + 25*q**2 - 49*q**2.\nAnswer: 14*q**3 - 288*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3)*-3 + 17. Suppose -234 = 15*h + 3*h. Let m = h + j. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y**2. Let u(o) = 10*o**2. Let h(d) = 3*d**2 + 5*d - 7. Let g be h(-3). Let f(s) = g*u(s) - 2*m(s). Let q(b) = 3*b**2. Determine q(f(i)).\nAnswer: 192*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 - 184. Solve 4*d = -3*a + 5*d - 15, 2*a - d = -y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11075 - 43875\/4. Let f = o - 107. Let z = 9 + -8.8. What is the third biggest value in 5, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*k - 88. Suppose -3 = -k*y + 19. Which is the second biggest value? (a) 3 (b) y (c) -1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*o = 53, 5*z - 64 = -552032*o + 552028*o for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:51 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 8*c + 10. Determine o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605))*-5 + (sqrt(405) + 1*(0 + sqrt(405) - sqrt(405)) + sqrt(405) + sqrt(405))**2.\nAnswer: -55*sqrt(5) + 3640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 16, 0 = 2*y + 44541*d - 44540*d - 60 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186.05 - -18.3.\nAnswer: 204.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226374621 or -226374620?\nAnswer: -226374620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(114) - (1*sqrt(114) - sqrt(114))*-4)\/(-6*1*sqrt(726)))**2.\nAnswer: 19\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3880?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 - 1 + 3*p)*(-3 - 3 + 2) as h + z*p and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:17 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t - 1. Let y be t + 5 + -2 + 0. Suppose 3*s - 9 = y, -m + 6*m = 5*s + 50. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) + 243\/45. Suppose f - 4*o + m = 52, -5*f + 4*o = -235. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -212, -178, -144, -110, -76, -42?\n\"Answer: 34*i - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 240 + -238. Let w = 11 - 6. Calculate the remainder when w is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 5*z - 26, -4*u + 22 = -5*z. Let i(p) = -4*p + 0*p + 0*p + 2*p. Calculate i(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**3)\/f)**(1\/11) assuming f is positive.\nAnswer: f**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 4) to base 2.\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 7:12 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/6 (b) -7\/18 (c) -0.29 (d) -3 (e) -942 (f) 0.4 (g) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from rrwwr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116076936 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32889 and 173.\nAnswer: -32716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 27, 41?\n\"Answer: 14*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6021, -52548, -180063, -429060, -840033, -1453476, -2309883, -3449748?\n\"Answer: -6749*l**3 + 716*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3113 is divided by 158.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154721 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvxxdklvkxllhvlhx. Give prob of picking 1 x and 1 l.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/87822 and -2\/153?\nAnswer: 87822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50853, 101704, 152553, 203400, 254245, 305088, 355929?\nAnswer: 406768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -35*k + 978. Suppose -5*n = -218 + 218. What is the tens digit of z(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + sqrt(17) + sqrt(17) + ((1*sqrt(85))\/sqrt(5))**2).\nAnswer: 3*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from gwaypaaywpaaaaawyaa.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 321552*k**2 - 6545*k + 2618. Let j(c) = 1475*c**2 - 30*c + 12. Let d(i) = 1309*j(i) - 6*s(i). Let v(p) = 2*p**2. Give v(d(h)).\nAnswer: 4280738*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(250))\/sqrt(5))\/(sqrt(60)\/(-1*sqrt(6))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23582571247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 18*f + 13*f - 61*f + 16*f. Suppose 4*s - 22 = 2*s. Let m(y) = -y**2 + s - 11. Determine u(m(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16\/71?\nAnswer: 16\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/30 + v**4\/12 - v**3\/6 + 4*v**2. Let t = 5 + -3. What is the units digit of s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 28. Let q = 1 - n. Let u be (1 + 0)*(9 + q). Solve u*g + 4 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-33)*(-25)\/40*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b - 2 - 5 + b**2 - 8*b**3 + 10 - 2*b**2. Let d(z) = 14*z**3 + 3*z**2 - 17*z - 5. Let t(n) = 3*d(n) + 5*r(n). Factor t(i).\nAnswer: 2*i*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + i = 2, -i + 4 = 4*y - 2*i. Suppose 5*p + 0 = 5. Suppose -p = -y*r - d, 6 + 4 = -5*r - 5*d. Which is the nearest to 0? (a) 0.1 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 380080*g**3*n**5 - 4*g**3*n**2 - 2*g**2 - 3*g*n**2 - g*n - 170*g wrt n.\nAnswer: 22804800*g**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/7578048 and -7\/34101216?\nAnswer: 68202432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -27*c - 11. Let s(j) = j + 14. Let b be s(c). Solve -o + 0 = -b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r**(-3))\/(r**(-4)\/r*r*r**(1\/2)\/r))\/(r**(-1\/8)\/(((r\/((r*r**(-6\/5))\/r))\/r)\/r))**12 assuming r is positive.\nAnswer: r**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 13*n - 37. Let i be k(-6). Let g(s) = 4*s**2 + s - 1. Let c(j) = -2*j**2 - 1 + j + 7*j**2 + 0. What is i*c(z) - 6*g(z)?\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 45. Let j(l) be the first derivative of 17 - l**3 - 15*l**q - 27*l - 40 - 48*l. Factor j(t).\nAnswer: -3*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 2*a + 170*a**2 - 3 - 84*a**2 - 4 - 1 to b*a + j*a**2 + o and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8\/(-3)) + 22\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 13*a = 225. Let p = -40 - a. Let r(l) = -p*l - 36*l + 73*l. Let b(t) = 10*t. Calculate r(b(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:24 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 0 - (-30 + (5 - -13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*x - 4*l, 10 = 5*x - 2*l - l. Let m be (5\/(-2))\/x*-4. Suppose -5*d = 5*s, -109*d + 1 = -105*d + 3*s. Solve -m*b = 2*z - 4, b - z + d = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9904 - -9907. Which is greater: -0.212 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -392, -591, -792?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 57409*0.1\nAnswer: 5740.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1548163 is divided by 967.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -28, -52, -78, -106?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -3*n**8\/56 - 11*n**7\/21 + 133*n**4\/6 - 8*n + 10. Find the third derivative of q(g) wrt g.\nAnswer: -360*g**3 - 1320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 274.456 weeks?\nAnswer: 2766516.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 + 16018*u\/3 - 5339 = 0 for u.\nAnswer: 1, 16017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8020, -16038, -24056, -32074, -40092, -48110?\nAnswer: -56128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {r: 5, w: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-3) - 1\/3. Let f be 5 + 370\/(-70) - (-5)\/(-7). Which is the fourth biggest value? (a) -6 (b) f (c) z (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-498)\/(-14) + (-3)\/(-7). Suppose 6*g - w = 4*g. What is the smallest common multiple of 14 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + (-4 + (sqrt(68)*1 + -2 - sqrt(68)*-2*-6))*-1)**2.\nAnswer: 660*sqrt(17) + 8453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 18. Let v = -2 + q. Let k = -2437 + 2433. What is the nearest to 0 in k, v, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*n**3*p**3 - 24*n**3*p**2 + 18*n**2*p**2 - 4*n*p**3 - 2 wrt p?\nAnswer: 834*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n. Let w be (-3 + n + 1)\/(-2). Let r be -4*((-1 - w) + 1). Solve 2*k = r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/12*(1 + -9). Let q = -15 + 9. Let a = q - v. Solve -c - c - a = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/9*-1)\/(4\/18). Let u(w) = 10*w + 76. List the prime factors of u(m).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1020870878 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20520\/17 less than or equal to 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 6 (c) 6\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h + 27965 + 15*h - 1333.\nAnswer: -3*h + 26632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*f + 25 - 0, f = 2*n - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12159 > 12162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**4\/2 + 16*y**3\/3 - 11*y**2\/2 - y - 90. Let h(d) = d**4 - d**3 - d + 1. Let a(p) = h(p) + m(p). Solve a(s) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -0.4\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(2*b - 2*b - 3*b) + b - 1 + 1 - 3 + 2*b + 3 + 2 - 2 + b + (3*b + 2*b - 3*b)*(-1 + 1 + 2) + 2*b + 0 + 0 + 3*b - 2*b + 0*b - b + b - 2*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*m**2 + 524*l**3*t - 3*l**3*u + l**2*m*t*u - 2*l*m**2*u - 6*l*m**2 + 4*l*u + 230*m**2*t - 2*t wrt l.\nAnswer: -6*m**2 + 3144*t - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/28)\/((-4)\/(-16)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -74604 and 1792939?\nAnswer: 1867543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198381441?\nAnswer: 3, 66127147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 2\/9, -0.066, 83, -2\/9, 3?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.4 - 1.2. Let d = 274 - 280. Let k = m + d. Round k to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-2))\/((-13160)\/(-5264)))\/(1\/5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 + 7*l + 8. Let m be p(-6). Let x(s) = -1 + 0 + 0*s - 9*s + 5*s. Let g(v) = -5*v. Let b(n) = m*g(n) - 3*x(n). What is b(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - 238. Which is the nearest to n? (a) -5 (b) -3\/7 (c) -0.8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-51)*9\/(-6). Let f = -13\/34 + i. Let o = 0.6 - 0.2. What is the nearest to f in -3, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1094 + -1090. Sort h, 41, 1\/6 in descending order.\nAnswer: 41, h, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 230, 157, 84, 11?\n\"Answer: -73*g + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -405 - -350 - (2 - 34).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 r when four letters picked without replacement from rlllevn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhx when four letters picked without replacement from xxhxhxhxxhhxxxxx?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o - 5. Let n(m) = 2*m + 5. Let v be n(-4). Calculate the least common multiple of 7 - (0 + (0 - -1)) and s(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1387 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15568 = -1290*j + 734*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 14 (c) 63.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390 + 388 - 9*t - 2*t)*(-9*t + 7 - 7).\nAnswer: 99*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**6\/144 + 3*a**5\/10 - 7*a**4\/12 - a**3 + 6*a - 59. Let t(h) be the third derivative of x(h). Solve t(l) = 0 for l.\nAnswer: 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 (base 15) in base 12?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 - 8*i - 1. Let t = -92 + 86. What is the remainder when m(t) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccaaacaccaaacaccacca. Give prob of picking 4 a.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*f + 7 = -r, 2*r + 3*f = 5. Let j = r + 18. What is the lowest common multiple of 14 and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 23688?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaafnnaanaaaanaanfa. Give prob of sequence nn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972 divided by -27.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 19*b - 123*b.\nAnswer: -128*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904753.\nAnswer: 3904753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10593 and -1290.4477.\nAnswer: -11883.4477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**5\/20 + y**3 + 2*y**2. Let n(m) = -6316 + 3402 + 2914 + 2*m**2. Calculate n(u(g)).\nAnswer: 18*g**4 - 72*g**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 67*q = -7905. What is the highest common divisor of 62 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80\/3, -0.2, 14 in descending order.\nAnswer: 14, -0.2, -80\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, a: 2, h: 1, p: 3, q: 1, m: 4}. Give prob of sequence aaqp.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1468? (a) 8 (b) 3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -54, -85, -140, -225, -346, -509, -720?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2. Let f(a) = -474*a**2 - 3*a. Give f(o(s)).\nAnswer: -17064*s**4 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*((y\/(y**(-1)\/y))\/y)\/y))\/(y\/(y\/y**(-16)))*y**(-22)\/(y*y**(-19)) assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -85*o**2 - 12*o - 9. Let i(s) = -85*s**2 - 13*s - 6. Let t(j) = 3*i(j) - 2*k(j). Factor t(w).\nAnswer: -5*w*(17*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**5\/9 + 3184*s**4\/3 + 5635024*s**3\/9 - 26979224*s**2\/3 - 97795028*s\/9 + 57696040\/3 = 0.\nAnswer: -1201, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h**3 - 32*h**2 + 4*h + 3. Determine p(-3).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 12*k**2 + 3*k + 13 + 4*k + k**3 + 3*k. Let n be a(11). Let w = n - -44. Solve 8 = -0*r - w*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 60, 98, 150, 222?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w**2 - 4*w - 4. Let m(t) = 20*t**2 + 9*t + 9. What is -4*m(v) - 9*p(v)?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(832) + sqrt(832)*6)**2 - (5 + sqrt(832) + -2)).\nAnswer: -8*sqrt(13) + 40756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-1 - 11) + 21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 150, 142, 128, 108, 82, 50, 12?\n\"Answer: -3*u**2 + u + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 - 2 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-18) - ((-1411)\/153 + 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -1074465?\nAnswer: -1074462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from pslsspjjsj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2*1 + -1 - (sqrt(30) - ((sqrt(90) + sqrt(90)*1 - sqrt(90))\/sqrt(3) + sqrt(30)))\/sqrt(6)) + 0.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**10\/100800 + j**9\/10080 + 11*j**5\/60 - 37*j**2. Let x(k) be the third derivative of u(k). Factor x(m).\nAnswer: -3*m**3*(m - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/13 (b) 3\/4 (c) -870 (d) -2\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 0, 1.5, 0.073, 1.\nAnswer: -0.5, 0, 0.073, 1, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 342 - 7*c**2 + 7*c**2 + 3*c**4 + 0*c + 339 + 20*c**3 in the form k + v*c + b*c**4 + o*c**3 + p*c**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 15, 32, 53, 78, 107?\n\"Answer: 2*b**2 + 7*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 141*w**2 + 17*w + 483. Let j(b) = -47*b**2 - 6*b - 173. Give -17*j(a) - 6*n(a).\nAnswer: -47*a**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t + 12. Let d be i(-2). Determine f, given that 0 + 0*f + 1\/4*f**3 + 1\/4*f**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 27. Let w(c) = 2*c + 2. Let u be w(-1). Let j be o(u). Does 15 divide (-178)\/(-6) + (-9)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2844 = -11*h + 4559. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*14\/28)\/(16\/(-6 - -2)). What is the closest to -3\/7 in j, 2\/127, -4, 2?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/27 + -19\/27. Let w = -0.11 + -2.89. Let n = w + 6. Which is the nearest to -1? (a) n (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q + 6. Let y(w) be the third derivative of w**4\/24 + w**3\/6 - 5*w**2. Let p(l) = x(l) - 5*y(l). What is the units digit of p(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561 by -1.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/264 + (-9 + 18)\/(-99)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-6)\/k*k)*k*k)\/(k*k**(-2))*(k\/(k*k*k\/k**0*k*k))\/k*k*k*k*k**(-3)*k)**(-3) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 7*u - 9*u - 7*u + 15*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m + 1. Let u be h(-1). Let q be ((-1)\/u)\/(2\/4). Suppose 0 - q*t - 1\/3*t**2 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27805 or -27804?\nAnswer: -27804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1441 is divided by 78?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mumv when four letters picked without replacement from {u: 1, m: 4, d: 8, v: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 217\/93*(-8)\/(-2). Sort 4, 0.1, 2, c in decreasing order.\nAnswer: c, 4, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.09, 3\/8, 23, -5 in descending order.\nAnswer: 23, 3\/8, 0.09, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w. Let d be s(-4). Suppose -6*a + d = -3*a. Let y be (2\/4)\/((-3)\/(-12)). Sort -2, y, a in increasing order.\nAnswer: -2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 divided by -609\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 1, h: 1, g: 5, s: 1}. Give prob of picking 1 o, 1 g, 1 s, and 1 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let t(x) = -6*x + 1. Let c(s) = s + 1. Let v(r) = -c(r) + t(r). Give a(v(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x**2 - 2 - 3*x**2. Let u(y) = -y - 2. Let v be u(-6). Let m be (0\/(-2))\/(v + -2). Give a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**2 - 6*x**2 + 46*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2464 and 134752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**3 - 3*a**2 + 2. Let k be d(2). Let y = 194128\/2245 - 32\/449. Let b = k - y. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n. Suppose t - 3 + 1 = n. Let v be -5*t\/4*-6. Solve 0 = -3*q - 0*q + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 16) to base 8.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17211 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 4*p**2 + p**2)*(4*p**2 - 5*p**2 + 2*p**2) + 2*p**4 - 2 + 2 - 2 + 2 + p**4 + 6*p**4 - 2*p**4 - 3*p**4 + (-p**3 + 0 + 0)*(-p + p - p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 12 - ((1 - -61) + (720 - 716)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -118, -101, -68, -13, 70, 187, 344?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 7692*d**4 - 77544*d**3 + 430904*d**2 + 4038372*d - 4384044 = 0. What is d?\nAnswer: -9, 1, 7, 1933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1)\/((-1)\/(-7)). Let d(g) = -4*g**3 - 39*g**2 + 47*g + 367. Let m be d(-10). What is the closest to m in n, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -23*d**2. Suppose 3*v - 48 = -9*v. Let q(u) = 0 - 4 + v - u**2. Determine y(q(i)).\nAnswer: -23*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**5 - 152*t**3 + 3*t**2 + 5077*t.\nAnswer: 80*t**3 - 912*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27761017 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0 - 1 + 6 - 4 + 8*v**2. Let s be z(-1). Let i be 38\/s - 8\/36. What is the second smallest value in 1, i, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-4) + 24\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 206*b + 187. Let t be w(8). Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 14. Suppose 20 = m - 4*z, m + p = -m - 5*z. What is the tens digit of -4*(4 - m)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10204?\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3800 is divided by 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6978164l in millilitres?\nAnswer: 697.8164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let a(z) = 2*z - 1. Calculate -3*a(t) - 4*w(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63216961, -126433926, -189650891, -252867856, -316084821, -379301786?\n\"Answer: -63216965*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.61 + 0.39. Let g = 12 - t. Let r = -0.4 + 0.2. What is the second biggest value in 5, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 789 - 460. Suppose x*q - 3255 = 324*q. What are the prime factors of q?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 + 13?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:02 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/32 + 7*c**5\/80 + c**4\/16 + 22*c**2. Factor t(k).\nAnswer: 3*k*(k + 1)*(5*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 1 - 15 + n**2 - 8. Let u be d(11). List the prime factors of (u\/7)\/(6\/42).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(500) + sqrt(500)) + sqrt(500) - sqrt(500))**2*5 - ((sqrt(405) + 0 + sqrt(405))**2 + sqrt(5) + 2*sqrt(500) + 5).\nAnswer: -21*sqrt(5) + 158375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01376397 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Let n(s) = -4*s + 58. Let z be n(15). Which is the nearest to m? (a) z (b) 1 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -552750961940 and 0.1303?\nAnswer: 552750961940.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1896360 and -1896370 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -45 - -27) + 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*s**2 + 3*s - 2*s + 818*s**2 - 617*s**2.\nAnswer: -225*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Suppose -l*w = -2*w - 2. Let m(b) = -7*b + 4*b**w - 3*b**2 + 0 + 5. What is m(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/8, 1.6, -2 in ascending order.\nAnswer: -2, 5\/8, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.575 - 0.195. Which is smaller: 1\/4 or t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {s: 12, z: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1382 - -7?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {g: 4, a: 2, e: 3, c: 2, v: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**10\/50400 - p**9\/7560 + p**8\/2880 - p**7\/2520 + p**5\/60 + p**2. Let y(w) be the third derivative of u(w). Factor y(o).\nAnswer: o*(o - 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 18*q**2 - 608*q - 6909. Calculate c(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -0.4, 1\/4 in increasing order.\nAnswer: -9, -0.4, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15566*y + 541*y + 15015*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2 - 214766*s - 214764 = 0?\nAnswer: -107382, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 6 + 9 - 53*z.\nAnswer: -53*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 25. Let c = r - -27. What is the nearest to 1\/4 in -4, c, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3303074 divided by -1651537\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*c - 17, -17*c + 13*c = y - 23. Let s be (-3)\/(((-2)\/(-3))\/(-2)). Solve 0 = -3*a + s - y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52664 and 616888.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*p**2*s + f*p*s*v - 32*f*s**3 + f*v - 5*p**2*s**3 - 20*p**2*s*v - 2*p*s**2*v with respect to f.\nAnswer: -p**2*s + p*s*v - 32*s**3 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*c - 6, -240*f = -243*f - 3*c - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*p*x**2 + 12*k*p - 28*k*x**2 + k + 63*p*x**2 + 2024*p wrt x?\nAnswer: 4*k*p*x - 56*k*x + 126*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -66\/95 and 127\/6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/206869 and -25\/47739.\nAnswer: 620607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 56\/21)*9\/(-15). Suppose 4*j - 3*p = 3598 + 1931, 0 = p - m. What are the prime factors of j?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821831863 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -436*h**2 - 20*h**3 + 436*h**2 + (68 + 20*h - 68)*(-6*h + 7*h**2 + 6*h).\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 9. What is the second derivative of -5*l**u + 3*l**3 + l**3 - 4*l + 3*l wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.003 in -1, 5, -3, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -156039 >= -156037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from mmmmmmmpmmmmmmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1917861387 to the nearest integer?\nAnswer: 43793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**3 - 3\/5*r**5 + 0*r**2 + 0*r + 0 - 18*r**4.\nAnswer: -3*r**4*(r + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 17*y**2 + y. What is the units digit of p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/72413909?\nAnswer: 5\/72413909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 2*x - 8*x + 16*x - 4*x. Let r(j) = 197*j**2. Calculate r(c(k)).\nAnswer: 197*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + (-107)\/(-4). Suppose -3*c + y = 18. Solve m + c*g - 15 = 0, 0 = m + 2*m + 3*g - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -58. Let r = -3 + x. Which is the closest to r? (a) -3\/4 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-60)\/33))\/(24*(-8)\/3840)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 + 5*v**4\/12 + v**3\/2 + 7*v**2\/2 + v - 8. Let f = 7 - 12. What is c(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -350*q**2 + 26031*q - 9697. Give o(74).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -54.5 times 42.3617\nAnswer: -2308.71265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -434111 (base 5) in base 12?\nAnswer: -8762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2)))**(-4\/7)\/((u\/u**(-4\/5))\/u**1) assuming u is positive.\nAnswer: u**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -2 - -115*(-2)\/78. Let x = -0.02 + -0.08. Which is the nearest to -1? (a) x (b) -1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 928.\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*v - 23 + 199, -110 = -3*v + 5*h. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.069698 and -0.537.\nAnswer: 0.037427826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (10 - 0)) + (-15 - 4) + 89\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*p*x**2 - 14*n*p*x + 2*n*p + 3863*n*x**2 - 3*n*x + 12*n - 640*p*x**2 + p*x - 2*x - 4 wrt x?\nAnswer: -4*n*p + 7726*n - 1280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 - 306*h**3 - 66588*h**2 + 269992*h - 271200 = 0. Calculate h.\nAnswer: -150, 2, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p - 68 = 422 + 433 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(114)*-2*1 + sqrt(114) + sqrt(114))\/(-1*sqrt(726)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3330 is divided by 104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n + 16*n**2 - 35*n - 751 + 750 + 10*n + 10*n - n**4 - 30*n**3 to y + z*n**3 + t*n + g*n**4 + h*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(4598)*1)\/sqrt(72) + (sqrt(152) + 1*sqrt(152)*-3)\/(sqrt(72)\/sqrt(144) + sqrt(8)))**2.\nAnswer: -931\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11536*d**4 + 14*d**2 - 5*d**2 + 2 - 11547*d**4 wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -423*d - 126*d**4 + 54 + 12*d**5 + 1569\/2*d**2 + 819\/4*d**3 = 0.\nAnswer: -2, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e1 (base 15) to base 8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -5 - (24 + 825\/(-50))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2740389\/232 - 11812. Let f = u + 3\/29. Let y(i) = -2*i**2 - 2*i - 1. Let k be y(0). What is the third smallest value in f, -7\/4, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 2216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 325*v - 662 = 328*v, 0 = -h - v - 328. Put 4, h, 2 in ascending order.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Let m(k) = k**2 - 7*k + 6. Let p be m(6). Suppose -h + 3*h = p. Solve 2*f - v = y, 5*f - 14 = -h*y + 3*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.554398mm?\nAnswer: 5554.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-567)\/14)\/((5\/(-3))\/((-475)\/855))?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151 and -8368265.\nAnswer: -8368416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 141*d**3 + 1253*d**2 - 2. Let c(u) = -284*u**3 - 2506*u**2 + 5. Let g(k) = 2*c(k) + 5*v(k). What is the third derivative of g(a) wrt a?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84493 is divided by 10435?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 56*i - 1850. Calculate the least common multiple of 2 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1 - (2 + -25). Suppose t - p = -3*t. Let g be 8\/t*105\/14. Solve -2*y - y - 2*j = 6, 0 = -3*y - 4*j - g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(10\/11)*(a*a**21*a)\/((a*a*a**(-6\/13)\/a)\/a*a) assuming a is positive.\nAnswer: a**(3147\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8613.9021 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 - 462 + 102*z**3 + 224.\nAnswer: 102*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*q + 9149 = -6997 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280832 is divided by 2007?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9798, -19588, -29378, -39168?\nAnswer: -48958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 9 = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1632 (base 7) to base 5.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 26 - 43 + 18 - 8*r - 14*r.\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3512 and 392466.\nAnswer: 1569864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8282 - -1850. Let c = w - 425521\/42. Find the common denominator of 70\/69 and c.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 = 137*h + 609 + 423 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 512810810 to the power of 1\/2, to the nearest integer?\nAnswer: 22645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:34 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 46. Suppose f - 12 = x. Suppose f = 4*a - 35. Calculate the highest common factor of 135 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 32. Let s(t) = -16*t - 10. Let l be s(-3). Let z = -48 + l. Let r be m(z). Solve 2 = 4*k - r*w, -2*k + 5*k - w + 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 + 19 = 4*j, 0 = -5*j + 10. Which is the third biggest value? (a) p (b) -0.4 (c) 0 (d) -1328 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - -102.02. Let d = 23493175 - 23493073.000414. Let q = d - v. What is q rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(3\/82). Suppose 3*g = -2*n - 3*n + h, -2*g - 4*n = -28. Suppose 5*f - 2*f = g. Solve 0 = -f*v - 20 - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from cubbyiyuz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -145352+0.3\nAnswer: -145351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5 - 25. Suppose -a = d - 25. Let s = d - 12. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3524 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*u = 10372 + 1580 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/76)\/(-17)*20\/60.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122204700 - 122204867.9999967. Let a = 168 + y. Round a to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-3)*(-36)\/84?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 20. Calculate the remainder when 10 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -4 (c) -2029 (d) -0.5 (e) 2\/3 (f) -1.2 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 0.4 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y + 0 - 1\/6*y**4 + y**2 - 1\/6*y**3. Suppose 2*w - 8 = -2. Let s(m) = 3*m**2 + 2*m - 3. Determine w*s(o) + 5*z(o).\nAnswer: -o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-27)*(-228)\/(-1330).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 4*k**2 - 8*k + 15. Let q be c(6). Let p(v) = 2*v - 4. Let x be p(-9). Let n = x + q. What is the highest common divisor of n and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180.65 + 208. Let b = z - 0.35. Let f = b + -26.2. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7126\/200651 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303320 (base 4) in base 11?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*h + 13. Let m be 1\/4 - (-663)\/8. Let l = m - 83. Which is the nearest to l? (a) -0.5 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 - 18*c - 19. Calculate the least common multiple of 56 and v(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 2, y: 2, z: 1}. Give prob of sequence hzhy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 8*q. Let g(p) = 2*p**2 + 6*p. Let n(w) = -4*g(w) - 3*s(w). Let t(y) = 66*y - 2. What is t(n(r))?\nAnswer: -132*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -60. Suppose 0 = -j + 3*j - 20. Calculate the lowest common multiple of g and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d - 3 + 5 + 2*d. Let w be p(4). Suppose 90 - w = 4*g. Calculate the least common multiple of 16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*h = -4*n + 4, 4*h = -2*n. Let m be 1 + 6\/(-1 - -4). Solve 9 = n*k - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3572 + -271477\/76. Calculate the common denominator of l and 5\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**0\/p))**(-15\/7)*(p**1)**(-2\/9))**27 assuming p is positive.\nAnswer: p**(-852\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392 + 394. Let x(n) = -n**i + 7*n**3 + 5*n**3 - 11*n**3 - 2*n**3 - n - 1. Let p(y) = -y**2 + 2*y - 2. Determine -p(q) + 2*x(q).\nAnswer: -2*q**3 - q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let o(l) = -l**3 - 21*l**2 - 18*l + 44. Let g be o(-20). Suppose -2*b = -5*z - 30, z - 6 = 5*z + 2*b. Sort z, g, i.\nAnswer: z, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -1.4.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*z - 231 = 0. Suppose -z = -3*v + 27. What is the remainder when 56 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + 0*g**2 + 3*g**2. Let p(q) = 6*q**2 + 3*q - 3. Let r(v) = 4*v - 10 + 6*v**2 + 10 - 4. Let d(a) = 4*p(a) - 3*r(a). Calculate u(d(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 96*d**3 - 2*d**2 - 39*d + 127. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 2. Let q be y(-4). What is the common denominator of q + -5 + (-214)\/(-40) and -97\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/5*(-12)\/60)\/(27\/180).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 538, 838, 1138, 1438, 1738?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 2. Let o be x(3). Suppose -8 = 2*l - 4*l. Suppose -l*z + 9*z + 2 = -2*a, o*a = 4*z - 5. What is the closest to -1\/2 in a, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469621?\nAnswer: 251, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.83 - 0.17. Let w = 47\/36 - 14\/9. Let f be (-8)\/18 - -3*(-4)\/54. Which is the biggest value? (a) w (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4510.8168 + 4521.6168057. Let m = 107.8 + -97. Let s = x - m. What is s rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 2*c - 2*c + (2*c**3 + 0*c + 0*c)*(-4*c + 0*c + 0*c).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - 549\/4. Let p = 1.14 - 1.54. Which is the nearest to n? (a) -3 (b) 5\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -6348706.\nAnswer: 11\/6348706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 divided by -53?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) -0.4 (c) -16.87084 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 17*w - 75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = l. Suppose -20 = -2*m - 5*f + 4*f, -3*f = 2*m - l. Solve 0 = 4*g - 2 - m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1.1, 0.2, -3\/1415?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8699351 divided by 17\nAnswer: -8699351\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -34*f**2 + 15*f - 5. Let h(w) = -17*w**2 + 7*w - 2. What is -9*h(k) + 4*p(k)?\nAnswer: 17*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a2 + 3297?\nAnswer: 27b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:03 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:12 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-14)*k**(-2\/23) assuming k is positive.\nAnswer: k**(-301\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/5)\/((-6242)\/15605).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19947 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -95. Calculate the smallest common multiple of 8\/6 + 10\/15 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(5) - sqrt(125)) + -1 + (sqrt(20)\/sqrt(4)*4 - sqrt(5)))*-4 + (sqrt(500) + 3 - (0 + sqrt(20)\/sqrt(4))))*3)**2.\nAnswer: 1638*sqrt(5) + 8046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.6. Sort 0, 2, u in decreasing order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let l be 4*(-3)\/(-6) - -11. Let s(m) = 13 + m - l. Give a(s(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 2273*k**6\/15 - 14*k**4\/3 + k**3\/6 + 3*k**2 - 5334*k. Find the third derivative of c(r) wrt r.\nAnswer: 109104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0 + 0)*(-j + 0*j - j) + (j - 2*j + 3*j)*(-15*j**2 + 5*j**2 + 42 + 7*j**2) + 8*j**3 + 4*j**3 - 3*j**3.\nAnswer: 5*j**3 + 84*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/25 (b) 8 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (15 - 12) - -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*t - 71 + 71 to the form j + l*t and give l.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -400 + 406.807. Let b = -0.093 - w. Let l = b + 6.900029. What is l rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtghwthygwtwwagw. What is prob of sequence gw?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*b + 3*b**2 + 0*b + 0)*(-2 - 9 - 3)*(23 + 10 + 4) in the form m*b**2 + x + s*b and give s.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 1. Solve y + l*w + 11 = 4*y, 5*w - 4 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**6\/360 - i**5\/40 - 3*i**4\/8 - i**3\/2 + 5*i. Let h(f) be the second derivative of t(f). Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2 - -73168?\nAnswer: 73086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 24*n + 95.\nAnswer: (n - 19)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*l = 4*l - 10848 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 17 = 2*f - 5*f, 13 = -3*f - n. Suppose 5*l - 8 + 8 = 0. Suppose l = -8*w - 4*w. Put -1, f, w in decreasing order.\nAnswer: w, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 17 + 1 + 2)*(-3*d - d + 3*d) + (-6*d + 3*d + 4*d)*(-3*d + 5*d + 0*d) - 3*d**2 + 4*d**2 - 2*d**2.\nAnswer: -d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 4. Let h be (-2)\/v*5*-2. Let p be -4 - -12*1*(-4)\/(-8). What is the highest common divisor of p and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -686046, -686017, -685988?\n\"Answer: 29*y - 686075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621 is divided by 230?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*h**3*m*r + 73*h**3*m - 19*h**3*r - 2*h**3 - 3*h**2*r - 174*h*m*r + 24*m - 7 wrt h?\nAnswer: 234*m*r + 438*m - 114*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 3. Let w = 11 - 25. Let l = 1611 + -1603. Let v = w + l. Determine t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-1)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -4. Differentiate u*h + 3 + 0 - 2*h - 6 with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 12, -2\/5, -670.\nAnswer: -670, -2, -2\/5, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49067 is divided by 423?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1419, -3998, -7771, -12732, -18875?\n\"Answer: s**3 - 603*s**2 - 777*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779 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: Put -4, -25, 69, -2, 5, -3 in descending order.\nAnswer: 69, 5, -2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 223*h + 881. Let l be t(4). Solve 3 + l = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12961*c**4 + 5*c**3 - 65440*c**2?\nAnswer: -311064*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) 1\/6 (c) 2 (d) -0.5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019039 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let r(z) be the first derivative of -10*z**3\/3 + 26. Calculate r(l(t)).\nAnswer: -40*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 33 (b) -1\/3 (c) 1\/4 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - b**3 - 2*b + 2*b - 4*b**3 + b**3 + 2*b**3 + (-5*b**2 - 2*b**2 + 3*b**2)*(-2*b + 5*b - 2*b) + b**3 - 5*b**3 + 2*b**3.\nAnswer: -8*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.45965551 rounded to 0 decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 70*j.\nAnswer: -5*j*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.48 + 4.52. Put o, 1, 0.4 in descending order.\nAnswer: o, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -205 and 4.54?\nAnswer: 209.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 - (-40)\/(-25). What is the biggest value in -5\/6, c, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*1)\/((-5)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*w**5 + 5993*w**2 - 4184235*w?\nAnswer: -300*w**3 + 11986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a = -40, -a = -3*p - 4*a + 6. What is the tens digit of (-73)\/p - (-12)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + d**2 - 4*d + 4. Let y be u(3). Let x(l) = 2*l - 24. Let h be x(-4). Let r = h + y. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(608)\/sqrt(2) + sqrt(19) + (sqrt(19) + -2 + sqrt(19) + sqrt(19))*4.\nAnswer: -8 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -6.\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2173, -8690, -19559, -34780, -54353, -78278?\n\"Answer: -2176*m**2 + 11*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 5*z + 11. Suppose -2*k + 9 = g, 3*g = -k + 6*k - 6. Let x(b) = -b**2 + 5*b + 12. Let r(w) = k*x(w) - 2*c(w). Factor r(d).\nAnswer: -(d - 7)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(11*b**3 - 2*b**3 + 4*b**3) + 70*b**3 + 275*b**2 - 275*b**2 + 3*b**3 + 3*b**3 - 7*b**3.\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 4, -24, -23, 80 in increasing order.\nAnswer: -30, -24, -23, -1, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -24*g**2 - 11*g + 11. Let q(i) = 13*i**2 + 6*i - 6. Let y(f) = -11*q(f) - 6*s(f). Let n(d) = 13*d**2. Give y(n(z)).\nAnswer: 169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -34733?\nAnswer: 3474a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-64)*((-3)\/(-3))\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016636 rounded to 4 decimal places?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 10. Suppose -x*s + 2 = -6. Differentiate -3 - 2*k - 2*k**s + 6 + 2*k with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1. Let j(w) = w - 3 + 18 + 20*w - 4*w. Let g(k) = -j(k) - 6*t(k). Differentiate g(r) wrt r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) - 333\/63. Let b(z) = -z**3 - 6*z**2 - 7*z - 4. Let v be b(l). What is the highest common divisor of v and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/90 + (-30)\/135 + 19\/114. Which is the nearest to 2? (a) r (b) 1\/7 (c) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1671406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.221 + 0.091. Let s = -57353 + 57353.130015. Let n = q + s. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(1980)*1 + sqrt(1980))*4)\/(sqrt(720)*-2*4).\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12923*u**3 - 6185*u**2 wrt u.\nAnswer: -77538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*a + 10, -2*v - 5*a - 3 = -2. What is the common denominator of -3*(-129)\/90 + -3 and 46\/(v\/((-45)\/4)*-18)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-7 - (5 - 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n - 56*n - 19 = 5*a, -12 = 4*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 17 = 35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28073215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, -17, -0.4, 3 in decreasing order.\nAnswer: 4, 3, 1\/2, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 11 + 41 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322820027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.061 + 7.639. Let b = -8.1 + k. What is the closest to -2\/3 in b, 1.1, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2 - 6) + 3. Let l = 0 + w. Let s = -0.4 - 0. Which is the third smallest value? (a) s (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 12, -8*z - s + 3*s + 78 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -10, 14, -2 in ascending order.\nAnswer: -10, -2, -0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -90032016, -90032017, -90032018, -90032019, -90032020, -90032021?\n\"Answer: -t - 90032015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*k = 202, -2*m + k = -4*k + 200. Let i = m + 106. Let s be -2*(-4)\/2*1. Solve 2*d + 3*n - 7 = 0, -n - i + 0 = s*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:10 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 + 13510*a**4 - 13505*a**3 = 0.\nAnswer: 0, 1, 2701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 61. Solve -x*t - 4*f + f = 5, -3*f - 8 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/59? (a) -1251 (b) 4 (c) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104942351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1800966 by 2.\nAnswer: 900483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33246427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*i + 50, -298*f + 34 = -4*i - 303*f. Let z(n) = -6*n**2 - 20*n - 36. Let m(d) = d**2 - d + 1. Let b(q) = -4*m(q) - z(q). Does 20 divide b(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + (-84)\/(-9). List the prime factors of 3*(-6)\/l + 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -102 in decreasing order.\nAnswer: 4, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(((-176)\/24)\/11) - 4. What is the nearest to 1\/3 in 109, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 3 (c) 4 (d) -2\/7 (e) 80 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9599723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278865 + -278866.900072. Let a = j - -1.9. Round a to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 16*c**2 - 13*c - 20. What is the tens digit of p(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(252) + 0 + -1)*3 + -1)*-1)**2.\nAnswer: 144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - -2.07. Let q be (-5)\/(-20) - 5811\/252. Let v = 68\/3 + q. What is the second smallest value in -0.1, v, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 4*z - 12. Give f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22519 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -356704680, -356704681, -356704682, -356704683, -356704684, -356704685?\n\"Answer: -u - 356704679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-155)\/496*(-6)\/5. Sort 0.06, 0.22, -0.4, -0.5, u in descending order.\nAnswer: u, 0.22, 0.06, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Let f = y - 5. Let t = -0.1 + -2.9. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730428144 to the power of 1\/2, to the nearest integer?\nAnswer: 52253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1312 and 620.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + (sqrt(560) - -3*(sqrt(560) - sqrt(560)*-2)))\/sqrt(10))\/(sqrt(40)\/(sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5)) + sqrt(128)*-2)*5*5.\nAnswer: -825*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8*i = 6. Let f be 2 + 2\/8 + i\/(-8). Suppose 0 = -4*t + 3*t - f*g + 59, g = 3*t - 170. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*u**2 + 3*u - 3*u - 27*u**2.\nAnswer: -183*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.074, 0.4, 7, 1 in increasing order.\nAnswer: -0.074, 0.4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 + l + 2. Let j be i(-5). Let g be j - (-3)\/3 - -46. Let n = g - 14. Calculate the highest common divisor of n and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 21. Let g(k) = -5*k + 20. Let w(s) = -5*g(s) - 4*h(s). Suppose p - 3*p - 2 = 0, -r - 5*p + 9 = 0. Let l be w(r). Which is smaller: l or -4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 241 + (-5 - -8). Let u = i + -30. Let j = 231 + u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, a: 14}. What is prob of picking 2 q?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(60\/(-28) + 2). Let k = -2 + 1. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*c)*(0 + 1 + 0) - c + 2 - 2 - 17*c + 11*c + 15*c in the form f + v*c and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/3 - 59*y**2 + 70*y\/3.\nAnswer: y*(y - 35)*(5*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 12 = -9*q. Let h be (-3)\/(6\/(-34)) - 0. Suppose z = -3*m - q*z + 17, 5*m = -z + h. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*y**3 + 143*y**3 - 695*y**3 - 854*y**3.\nAnswer: -2022*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.999822 + 26. Round u to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 12*n - 6. Suppose c + 19 = n*c. Solve 11 = -3*y + 2*t + 3*t, -4*t + c = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and 8\/(-180)*-3 - (-908)\/(-6960).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-39) + 1*(-22)\/102?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 16*g - 21*g + 10, 0 = -2*u + 3*g - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-684))\/(913\/(-297) + 3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 401 - 389. Solve -8*u + h*u = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f. Let j(n) = 39*n. Let i(x) = -8*x. Let l(s) = 24*i(s) + 5*j(s). Determine d(l(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15*n + 9*n + 4*n)*(1 - 1 - 2*n)*(2 + 9 + 0) + (0*n - n + 2*n)*(-2*n + n + 3*n))*(1 + n - 1)*(4 - 1 - 1).\nAnswer: 92*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 39\/(-15)) + (-137)\/(-5). Let y = b + -23. Suppose -2*m + 7*m - 75 = -l, -276 = -4*l + y*m. What is the remainder when l is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.916 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.65 + -0.7. Let s = d + 0.05. Which is the closest to -2\/3? (a) -2\/9 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -34. Suppose 20 = 5*i, 3*x + t*i - 11 - 57 = 0. What is the greatest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 930233 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181.98 and 0.05.\nAnswer: -9.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 24*c - 146. Let u be g(6). Let k be (u + (-8)\/(-6))\/(4\/(-450)). What is the greatest common factor of 125 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(0 - 1 + 0)*(4 - 4 + 2*h)*(27*h - 42 + 42) + h**2 + 2*h - 2*h.\nAnswer: 109*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 862 and -1605.78?\nAnswer: -1384182.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -2020002300?\nAnswer: 2020002320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34475 from -0.5.\nAnswer: -34475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -113*z. Let a(n) = -1474*n**2. Determine j(a(d)).\nAnswer: 166562*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2258 - 2310 = -13*g. Suppose 0 = 3*d - 2*d. Suppose d = 4*n + n. Solve n = g*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2 - 10. Let u be 15\/2*4\/6. Sort f, 0, u in descending order.\nAnswer: u, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*m**2*n - 886*h**2*m*n + 835*h**2*n**2 + 20*m**2*n**2 + 2*n wrt n.\nAnswer: 1670*h**2 + 40*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 263118.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19928 equal to -19935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*x - 6, -18*x + 2 = -13*x - 2*n. Put 329, -5, x in ascending order.\nAnswer: -5, x, 329","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 3*t + 12 = 0, 2*t = -8. Suppose -18 = 6*f - 0*f. Let z(o) = o**3 + o**2 - 6*o + 3. Let r be z(f). Solve y = k - r - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:28 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -11*p**2 + 7\/60*p**6 + 0*p**5 - 5\/8*p**4 + 0*p + 0 + 0*p**3. Find the second derivative of f(m) wrt m.\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52012 (base 10) to base 9\nAnswer: -78311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*w + 50, -10*y - 210*w + 213*w - 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2 - 14. Suppose -2*t + 449 = -3*s - 309, 401 = t + z*s. Suppose x = 6*x - t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/18 - 3)*15063\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22889609 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112000111000 (base 3) in base 8?\nAnswer: 5066653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 4*n**2 + 2*n + 83. Let p(j) = 7*j + 2. What is -5*p(a) + 4*t(a)?\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (2 + sqrt(1573) + -1)) + -2 + (-3 + sqrt(13) + 1 - (sqrt(13) - sqrt(39)\/sqrt(48)))*-4)**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/1*3\/6. Let n(w) = -w**2 - 6*w + 4. Let u be n(d). Let k(y) = 67*y - 22. Let x be k(1). What is the greatest common divisor of u and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69.28 - -68.5434. Let q = 0.75 + g. What is q rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvyrrvv. Give prob of sequence kvr.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.268 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933179?\nAnswer: 3, 307, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 3, p: 2, i: 3, r: 2, y: 1}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (18\/(-3) - -3). Let n be 0 + 1*m\/(-14). What is the biggest value in 5, 2\/5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 0*v + v)*(-1 + 10 - 2)*(2*v - 2 + 2).\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*c + 5*c. Which is greater: c or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0.4, -0.5, 18\/191?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0101 - -0.3899. Let i = -0.1 + 0.1. What is the third biggest value in t, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157\/55 + -27\/11. Suppose 3 + 1 = -2*u, -5*k + 4*u + 18 = 0. Let s = 8\/55 + -2\/165. Which is the third biggest value? (a) g (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394 - 401. Which is the biggest value? (a) 2 (b) -0.03 (c) -3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416160 divided by -6.\nAnswer: 69360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43929290 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2880512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 22 - ((9 - (-3 + 15)) + 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306 + 315. Suppose 22*t**3 + t**4 + 8*t**2 - w*t**4 + 24*t**4 - 2*t**3 + 4*t**5 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7009, -7248, -7487, -7726, -7965?\n\"Answer: -239*z - 6770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-13))\/(6930\/20020)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593566 a multiple of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 5868303686303 and 0.2.\nAnswer: 5868303686303.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 38*q - 20. What is the remainder when w(-23) is divided by (-70)\/(5\/(-5) + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2 - 1\/8*w**4 + 0*w - 1\/12*w**3 + 0*w**2 - 1\/20*w**5. Factor f(k).\nAnswer: -k**2*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236817 and 735?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80399, 161050, 241701?\n\"Answer: 80651*z - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*w**4 + 2*w**3 - 6*w**2 + 23*w + 160.\nAnswer: -1476*w**2 + 12*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*(-2)\/28. Let k = 264085 - 264086. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 + -89 + (-1 - -8) - (1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 + 70*u**2 + 125*u + 22. What is the least common multiple of w(25) and 3572?\nAnswer: 39292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**6 - 531*l**5 - 36*l**3 + 5365*l**2 wrt l?\nAnswer: 480*l**3 - 31860*l**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 10:47 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -12. Let k = t - -37. Suppose k = -2*a - 4*n + 186, -4*a + 276 = -4*n - 72. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 2*d**5 - d**5 + d**4)*(-11 + 4 + 4)*(-1 - 1 + 1).\nAnswer: 3*d**5 + 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97953410.\nAnswer: 2, 5, 2447, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - -1*sqrt(720)) + 5 + (-1 + sqrt(720) - sqrt(720)) + 4)**2 - (sqrt(320) + 1 + 3 - ((sqrt(20) + (sqrt(320) - sqrt(20))*1)\/sqrt(4))**2).\nAnswer: 376*sqrt(5) + 3020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 100, 153, 208, 265, 324?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -64\/14596273?\nAnswer: -64\/14596273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 84446005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z - 1\/5*z**4 + 4\/15*z**3 + 4\/5*z**2 - 13. Solve p(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(17\/4)*l*l**(-17\/4))**31)**(-36) assuming l is positive.\nAnswer: l**7254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35073*n - 35160*n = -3*o - 1119, -7 = n - 5*o for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2)\/4*-17. Let o = 25 + i. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a factor of 536985358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, 0, 23, 66, 135, 236, 375, 558?\n\"Answer: d**3 + d**2 - d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 182?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (100\/(-60))\/((-10)\/12). Solve -2 = y*q - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105948 and 34880.\nAnswer: 8475840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 n when four letters picked without replacement from {z: 1, y: 2, b: 3, n: 6, x: 2}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(0*t**2 + 0*t**2 + 2*t**5) + 2*t**5 - 2*t**5 - t**5 + (-2*t**2 + 2*t**2 + t**2)*(25*t**3 + 349 - 349).\nAnswer: 28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19761713 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 + 292. Let k = v + -178.0167. Round k to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3204*f - 3142*f - 157 = -33. Factor -72\/5*z**3 - 192\/5*z**f - 10 - 34*z.\nAnswer: -2*(z + 1)*(6*z + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 3*d - 136. Solve 3*p - d = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000110011101 (base 2) to base 10.\nAnswer: 37277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 - 207995*s - 1871550 = 0?\nAnswer: -41590, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 0.05. Let o = s + 0.0111. Round o to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -46 + 28. Let r be (-4)\/3*k\/4. Let n(v) = -5*v**2 - 5*v - 1. Let a(m) = -14*m**2 - 14*m - 3. Let g(y) = 6*a(y) - 17*n(y). Give g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192 or 207?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.8. Let b(v) = -v + 15. Let a be b(11). Sort -1\/6, a, r.\nAnswer: -1\/6, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 15, 26, 37, 48?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + h + 1. What is l(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565381?\nAnswer: 4565381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n**2 - 5*n + 2. Suppose 11 = -7*j - 10. Is f(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87*8\/((-840)\/(-35))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + 8 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*-6)\/(sqrt(396)*-1).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p - 24. Let g be (-8)\/(-40) - 663198\/p. Let q be (-1)\/2 + g\/(-26). What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 1735*j**6\/3 + j**3\/3 - 68*j - 698. What is the third derivative of v(u) wrt u?\nAnswer: 208200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3562021.\nAnswer: -1\/3562021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039 + 208*g**2 + g**2 + 521 + 516 + 9*g**2.\nAnswer: 218*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4\/(-16))*(-3 - 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 14) to base 5\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.4, -50, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4340836 is divided by 5077.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750 and 3449250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6727037, 13454066, 20181081, 26908076, 33635045, 40361982, 47088881?\nAnswer: 53815736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 220375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q\/(q\/(q**19\/q))*q*q**(-21)\/q*q**11*q**(2\/37)\/q assuming q is positive.\nAnswer: q**(335\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) 1\/10 (d) 0.0231\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 5:17 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 796935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q + 6. Let d be v(5). Suppose -2*z = -10 + 2. Suppose -2*k + z*u = 8*u - 4, -k + 2*u = -6. Do k and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36 + 4)*-3*10\/(-24). Let w = -38 + x. Let l be (2 - (-18)\/(-8)) + 39\/w. Solve -2*k = -l*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 + 9*w + 65. Calculate x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurrururru. Give prob of sequence rurr.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 93. Let o = 33 - k. Find the second derivative of -o*i**5 - 1509 + 1509 + 4*i wrt i.\nAnswer: -420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u. Suppose 10*o - o = 45. Let w(x) = 1 + 9*x + o - 10 + 4. What is g(w(p))?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3202094 and -27\/2764?\nAnswer: 6404188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/((-21)\/(-315))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5028 = 8*t - 32300. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, 1 t, and 1 s when four letters picked without replacement from tjjuusjstjjnss.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 51. Suppose -2*p = 3*p. Suppose p = 2*q - o + 1. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 932850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 divided by 5?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -7*a**5\/60 + a**4\/24 + 2*a**2. Find the second derivative of f(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + (-6 - -4) + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 49 = 83. Let u = -19620 + 19639. Calculate the remainder when t is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711, 1541, 2371, 3201, 4031?\nAnswer: 4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100110010110?\nAnswer: -100110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4341*y + 4341*y + 2*y**2 - 2*y**2 + 53*y**3.\nAnswer: 53*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 731091 to the power of 1\/2, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31585 is divided by 260.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3678 + 3677. Which is the biggest value? (a) 58 (b) 2\/11 (c) 2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3605, -3523, -3299, -2861, -2137, -1055, 457, 2471?\n\"Answer: 12*r**3 - r**2 + r - 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3074, -5117, -8520, -13283, -19406, -26889?\n\"Answer: -680*o**2 - 3*o - 2391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 60. Let z be c(-8). Solve -k - 4*l + 19 = 0, 0*l = -l + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6818812589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -77697*w**2. Let d(c) = 80*c**2. What is a(d(u))?\nAnswer: -497260800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139268*m**5 + m**2 - 2*m + 44384?\nAnswer: 8356080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1988 (base 10) to base 5.\nAnswer: -30423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 19*m + 78. Let n be a(16). Factor 11*y**2 - 4*y**2 - n - 10*y**2 - 21*y.\nAnswer: -3*(y + 2)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 3*q + 5, -5*q = -3*o + 11. Suppose k + 5*z - 48 = -0*k, 64 = 2*k + o*z. What is the greatest common factor of 42 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = y. Let f = y - 6. Let n(z) = f*z + 4*z**2 - 1 + 4 + z**3 + 0*z**2 + 0. What is n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2185493.174 rounded to the nearest 100?\nAnswer: -2185500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225.0392 - -225. Let p = y + 6.2092. Round p to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3118 - 3117.8. Which is the second smallest value? (a) f (b) -9 (c) 6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71 and 364685.\nAnswer: 25892635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*p - 5401 = 0, 132*p = 5*j + 129*p - 8987. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 + 138*j - 5952.\nAnswer: 3*(j - 32)*(j + 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -437\/52 + 132\/13. What is the common denominator of b and 21\/(-9) - (-6 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30536 + 15003. Is l a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 90 = -4*s. Calculate the lowest common multiple of s and 2*(0 + 10) - -2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 + w. Let x(m) = -502*m**3 - 5*m. Let i(u) = 10*q(u) + 2*x(u). Find the third derivative of i(t) wrt t.\nAnswer: -5964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 10 + 4)*(2 - 6 + 3)*(3*l - l + l)*(0 + 5*l + 2 + 0) in the form m*l + u + z*l**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)*x)\/x)**(5\/18)\/(((x**18*x*x)\/x*x)\/x**(-1\/4)))**(3\/2) assuming x is positive.\nAnswer: x**(-779\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 8. Let k be h(-7). Calculate the remainder when 16 is divided by -18*((-2)\/(-6))\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1247 - 36.1247. Let t be 6\/(-2)*(-2)\/18. Which is bigger: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**4 - 9832*u - 8266.\nAnswer: 8*u**3 - 9832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + -0.94. Let x = a - -1.2. Suppose -6*p + 9 = -4*o - 3*p, -p = -3*o - 8. Sort o, -0.5, x in decreasing order.\nAnswer: x, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 32.8. Let s be (-2)\/(-10)*(-5)\/(-3). Which is the nearest to d? (a) -2 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2645863 is divided by 948.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b - 6 + 1)*(1 + 16 + 8 + (15 + 26 - 10)*(3 + 0 - 1)).\nAnswer: -174*b - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -102 = -i*n - n. Suppose b = 2*o + 10 - n, -o + 2 = -3*b. What is the remainder when 27 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*z**3 - 41428*z**2 - 2206984*z - 28919280.\nAnswer: 2*(z + 26)**2*(13*z - 21390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppp when four letters picked without replacement from {e: 3, p: 13, v: 2}?\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44744)\/(-2961)*(-18)\/4*(-3)\/8*-2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 4. Suppose -2*i - 5*c = 6, 8*i - 5*c = 3*i + 20. Let g(m) = 1. What is i*g(z) - v(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.1, -0.6, 5, -0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 5*i = 107826, -3*c + 50993 = -5*i - 2875. What are the prime factors of c?\nAnswer: 2, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49466 - -591?\nAnswer: 50057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x - 282. Let i be f(-37). Do i and 74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -96*a**2 - 7*a - 14. Let l(h) = -143*h**2 - 10*h - 20. Calculate -7*g(y) + 5*l(y).\nAnswer: -43*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(8)\/sqrt(4) + 2))*-3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 269 + 5 + 96\/8. Suppose 2*i - 33 = -99. Let a = i + d. Is 48 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -324590 and -0.5.\nAnswer: 162295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4366*y**2 - 938 wrt y.\nAnswer: -8732*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11210*f**2*x**3 - 15*f**2 - 430*x**2 wrt x.\nAnswer: -67260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 4*t - 16. What is z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/19)*l*l*l**29*l)\/((l*l*((l\/(l**28*l*l))\/l)\/l*l)\/l*l*l**(-19)))**(-14\/5) assuming l is positive.\nAnswer: l**(-21098\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 778*u**3 - 3*u**2 - 130*u**3.\nAnswer: -908*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 0 + -4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 3*k**2 - 6*k - 3. Suppose 180 = 56*w - 44*w. Suppose 0*d + w*d = -30. Calculate y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9072 and 7?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 230*c**2 - 70. Let u(x) = -10*x**2 + 3. Calculate 6*h(k) + 140*u(k).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 + l**3\/3 - l**2\/2 + 399. Suppose -4*a - 5*x = -10, a - 3 = -5*x + 7. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 545 = -589 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33267662 + 33267792.045055. Let k = c + -19.044325. Let v = -111 + k. Round v to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 118 (b) 4 (c) 0.5 (d) -2\/13 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/7)\/p))\/(p\/(p\/p**(-6\/11)))*(p\/(p**(3\/5)*p*p)*p)**(-2\/25))**(-3) assuming p is positive.\nAnswer: p**(-83136\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 - 2620*r**3 + 292692*r**2 + 47643820*r + 47348504 = 0. Calculate r.\nAnswer: -86, -1, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27144 by 312.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2. Let k(l) = l - 10. Let f be k(10). Let h(y) be the second derivative of 0*y**2 + f + 2\/3*y**3 - y. Give b(h(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frykkffyfkyf. What is prob of sequence ykyy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 5491 + 10253. Does 82 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187600 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56644?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8*c + 24. Suppose c - 12 = -k. Suppose 0 = k*v + v - 140. Calculate the greatest common divisor of v and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from ellllleneelelnnelel?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(1*-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97114 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 88*a + 945. Calculate the remainder when 54 is divided by l(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -c + 57, -4*l + 91 = -2*c + 25. Calculate the highest common divisor of l and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/423547178 and 11\/2363.\nAnswer: 7200302026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -36*m**2. Let n(f) be the first derivative of -4*f**3\/3 + 44. Determine d(n(i)).\nAnswer: -576*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*j - 173000002, 39*j + 4*z = 44*j + 172999996. Round j to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.17 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12019 + 12018.78. Which is the closest to -1? (a) 2\/23 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 14 + 4*u + 14)*(-3*u**3 + 7*u**3 - 3*u**3).\nAnswer: 4*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*(16\/(-6))\/2. Let s be 24\/16*26\/3. Let o = k - s. What is the lowest common multiple of o and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**8\/840 + z**7\/210 + z**6\/300 + 12*z**2. Suppose f(r) = 0. What is r?\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4179 - 4107. Sort s, 0, 3, -1\/8 in decreasing order.\nAnswer: s, 3, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -74*b + 70*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011081 to six dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206184*d**3 - 6*d**2 - 13425*d + 4.\nAnswer: 1237104*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201012011220 (base 3) in base 11?\nAnswer: 1127718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5787111, 11574219, 17361323, 23148423, 28935519, 34722611?\n\"Answer: -2*a**2 + 5787114*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, 7, -2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:50 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*l**2 - 1119*l**2 + 2144*l**5 - 89*l**2 - 1012*l**2 wrt l.\nAnswer: 128640*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6970*a - 1 + 1 - 6631*a.\nAnswer: 339*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8598330 to the nearest one hundred thousand.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*(-2 + (-7)\/(-2)). What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287 - -289. Solve -q*r + 33 = -5*z, r - 3*z = -0*z + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 4, z: 2, j: 4}. Give prob of sequence zkj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) -4 (c) -1 (d) -10 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85260 or 16?\nAnswer: 85260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 10:51 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b3843 + -18?\nAnswer: -2b385b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o + o + 2*o)*(-5 - 1 + 4) + 10 + 7*o - 10)*(1 - 3 + 3).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 + 515. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8983035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-187297)\/(-2) + (-40 - 243\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2, -4, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-13))\/(1748\/22724).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25258, 22669, 20080, 17491, 14902, 12313?\n\"Answer: -2589*i + 27847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 1020*v + 53707. Calculate r(56).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 61 + -26 + (-1 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 + -0.1. Let w be ((-24)\/(-9) - 3)*1. Let k be 1\/(3\/(-2)) + (-20)\/(-30). What is the nearest to k in w, p, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 336300 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 3*a + 3. Suppose -4 = -3*s + 5*x, 4*x + 2 = 3*s - 0. Let t be r(s). Let h = 6 - t. Are h and 1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 871*g**2 - 8*g - 20. Let h be f(10). Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047531021 to seven dps.\nAnswer: 0.0004753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 14}. Give prob of sequence zvz.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2)*-4)\/(2\/3). Suppose -c*y - 120 = -10*y. Let j = y + -43. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:47 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/2)\/(7\/(-28)). Solve q*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 l when four letters picked without replacement from {s: 3, i: 1, r: 6, l: 3, o: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 13173?\nAnswer: 5\/13173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h, -20 = 2*d + d - 2*d - 6*d - 64*h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 716 + -715. Is y less than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -11. Let g = -6 - r. Let x be 1\/(-2 - 10\/(-6)). Which is the closest to 1? (a) x (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.0047 + -3. Round l to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170009 > 1170009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -326 - -12064\/37. Suppose 5*f - 4*j + 4 + 0 = 0, 0 = -5*f - 2*j + 2. Suppose f = 4*u - w - 5, 5*u - w - 5 = 4*u. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, e: 2, q: 1, d: 1}. What is prob of picking 2 b?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 15 - 97. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1311*i. Let f(a) = -8*a + 1. Give v(f(g)).\nAnswer: -10488*g + 1311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5718*c*k**2 + 245*c + 1 wrt k?\nAnswer: -11436*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3451\/(-319) + (3 - -8). Put 6\/17, -0.1, 1, r, -5\/3 in descending order.\nAnswer: 1, 6\/17, r, -0.1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 10*n + 3. Let u(l) = 3*l - 1. Let s(g) = -2*h(g) - 7*u(g). What is the units digit of s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -2*j - 12, 100*j + 11*a + 21 = 96*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787, 1318, 1835, 2338, 2827, 3302, 3763?\nAnswer: 4210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-92)\/(-23) - (-1 + 1). What is the third derivative of -35*q**4 - 4*q**o - 6*q**4 - 17*q**2 wrt q?\nAnswer: -1080*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2281\/10 + 229. Calculate the common denominator of 91\/2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*g**3\/3 - 15706*g**2\/3 + 15041*g + 1842.\nAnswer: (g - 921)*(g - 3)*(17*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2363138*p**2 + 17392*p - 32.\nAnswer: -2*(1087*p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/75)\/(2\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031913047 to 5 decimal places.\nAnswer: -0.03191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -27. Let r be (-50)\/(-15) - (-3)\/p. Solve -r*b - 16 = -1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/3)*p)\/p**(-1\/2))\/(p**(-1\/5)\/p**4))**(-8) assuming p is positive.\nAnswer: p**(-764\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 28*d = 2. Let f be d\/(-4 - -6)*0. Solve -5*i = f, 3*n + 2*n = i - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145 + (-6)\/15*-10.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 468*m**2 + 42873*m + 751. Give r(343).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:15 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/5 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 20 = 2*r. Suppose 3*t + 0*p - 1008 = -p, -r*p - 1363 = -4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5438164872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 3)*(-2 - -3). Let p = n + -37. Let w = p - -46. What is the remainder when 40 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204\/29 < 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -0*n + 252. Let r = 41 - n. Let u be 0\/4 + (-2)\/(-39). Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83183 and 579.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62038.\nAnswer: 2, 31019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54676, 109383, 164118, 218881?\n\"Answer: 14*q**2 + 54665*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/28)\/((-18)\/315)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -2\/5, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 42 - 54 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10804960*w + 5402474*w + 5402483*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-18 - -26) - 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 7:35 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 18. Let z be p(0). Let d be (-3 - -1)\/((-12)\/z). What is the highest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvh when three letters picked without replacement from {u: 1, h: 9, g: 2, v: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314147313?\nAnswer: 3, 34905257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 205, 264, 211, 52, -207?\n\"Answer: h**3 - 65*h**2 + 365*h - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:12 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 50800000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 59*i + 37 - 23)*(-3 - 3 + 2).\nAnswer: 236*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -q, 3*x + 2*q = 13. Let a = -13 + 21. Suppose -5*l + a = 3*g, 5*l - 16 = -0*g - g. Calculate the smallest common multiple of x and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*k - 32, 11 = -3*k - 1. Differentiate 29*r**2 - 11 - 9 + j - 27 wrt r.\nAnswer: 58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 2. Let c(n) = 4*n - 1. Let d(l) = 5*c(l) + 6*w(l). Let k be d(8). Let y be ((-7)\/2)\/7*-10. Solve 4*p - y*v + k = 0, 5*p - p = -5*v + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -4.71.\nAnswer: -1.0833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6 - 0. Suppose 0*n - a*n + 96 = 0. Is n > 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25415 and 5865.\nAnswer: 76245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-2)\/12). Let a be (16\/(-4) - 0)*x\/(-3). Suppose a*h = 8, -3*h + 347 = 3*c - 2*h. List the prime factors of c.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*v + 3*v + 179, -3*v + 258 = -4*k. Find the third derivative of -v*i**3 + i**2 - 110*i**3 + 30*i + 114*i**3 wrt i.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.78 + 0.22. Let g = 46 + s. Let p = g + -66.99953. What is p rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:02 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16114679879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417*y + 108 = 1405*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8988, -5, -3 in ascending order.\nAnswer: -8988, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 500, 1093, 1622, 2093, 2512?\n\"Answer: p**3 - 38*p**2 + 700*p - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - 2.2. Let d = w - -2. Which is the second smallest value? (a) 2 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 - 7))*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*(-30)\/4. Let n = 7 - a. Suppose -n*h - 1 = 3*k + 3, -12 = 4*k + 4*h. Is k at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187.72 + 188. Let i = -58 - -58.41. Let z = i - h. Round z to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2381379 - 6.7423411. Let y = k - -8.98. Round y to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1)*1*-5. Suppose 3*i - c*k - 70 = -2*i, -2*i - 2*k = -16. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65393285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydkq when four letters picked without replacement from xydkq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -1, 398, 1, -3.\nAnswer: -3, -1, 0, 1, 10, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l - 5. Let d(z) = 2 - 1 - z**l - 7. Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64334.\nAnswer: 2, 19, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 - d**2 - 4*d - 12. Let a(b) = 11*b**3 - 2*b**2 - 9*b - 25. Give 4*a(q) - 9*c(q).\nAnswer: -q**3 + q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21070)\/(-20) + -3)\/(1\/(-2)). Round c to the nearest ten.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/21 and -49\/34452088.\nAnswer: 723493848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*h + 9. Is h - -22 - (4 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1 + -0.1. Let p = -9.000184 + u. What is p rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -32, -30, -28, -26, -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + (-34)\/(-9). Suppose -a = 4*k - 12. What is the second derivative of -6*s**4 - s + k*s**4 + 8*s**4 wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/3 - 5*f - 1. Let g(k) = -3*k + 1 + 0*k - 1. Give v(g(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 2*d - 5. Let y be k(-5). Let r be (-5)\/y - 22\/(-8). Let g(p) = -r*p**2 - 3*p + p + 2*p. Let n(x) = -x. What is g(n(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-540)\/(0 - 6)*1. Let l(u) = u - 4. Let i be l(6). Suppose -5*c + 4*s + 30 = 0, -2*c = i*s - 3*s - 15. Calculate the greatest common factor of c and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -182, -299, -412, -521?\n\"Answer: 2*o**2 - 127*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8568 - 8567.999929584. Round v to six decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.696 - 34. Let g = -0.36 - a. What is g rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6852 + -6853. What is the closest to b in -0.05, -5, -27?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/96)\/(7\/(-36))*-8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/55965830 and 25\/74.\nAnswer: 55965830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -15 (b) 4 (c) 0.2 (d) 1161 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m**4)*(-3*m + 2 - 2) + 0 + 2 + 1544273*m**3 - 349*m**5 - 1544269*m**3.\nAnswer: -343*m**5 + 4*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 10*n + 1. Let x(t) = -2*t**2 - 19*t + 1. Let g(s) = -7*j(s) + 4*x(s). List the prime factors of g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 72. Let n(u) = 8*u**2 + 7*u + 15. Is n(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/13616 and -97\/24.\nAnswer: 40848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 1953086.563.\nAnswer: 1953088.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16138 and 1782?\nAnswer: 14378958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 less than 0.1?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -z - 397, -2*z = -6. Calculate the remainder when s is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + k - 15, -2*l - 811595*k + 811598*k = -49 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a - 10*a + 3648. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 609 or 1829\/3?\nAnswer: 1829\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -831\/8 - -104. Let r = -0.2 - 2.8. Suppose 5*l + 5 = 0, -26*l = 2*o - 24*l + 6. What is the closest to o in a, -5\/4, r?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 28*f + 1026. Let i be z(-30). Solve 30*a = -a + i for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1733 - 1808) + 2 + -7?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + -1*sqrt(637) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/5 + 24*f**2\/5 + 2*f\/5 - 24\/5 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 246*s - 8111. Calculate n(33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 75\/20. Let t(n) = -n**3 + 3*n**2 + 5*n + 2. Let f be t(g). Suppose -d + 0*d + 3 = -2*i, -d - i + f = 0. Solve d = 5*b + 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21565899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.1. Let s = 43 - 42.9. What is the closest to q in 1, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -39, 3, -2, 12 in increasing order.\nAnswer: -39, -15, -2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oryhyhfo. What is prob of picking 1 h and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 175, 188, 205, 226, 251, 280?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 178 = 190 + 58 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Are 10529597 and 10529596 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -233*n**7\/14 - n**3 - 93*n**2\/2 - 171*n. What is the second derivative of g(h) wrt h?\nAnswer: -13980*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.2 - -8. Let v be (-16)\/(-132)*(6 + (-18)\/4). Sort o, v, 0, -0.4 in increasing order.\nAnswer: -0.4, 0, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-119))\/(4\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g - 148*g + 72*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.94 + -0.06. Let p = 5 + u. Which is the third biggest value? (a) p (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. What is the first derivative of -4*f**3 + 5*f**4 + 4*f**s - 5 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -184, -296, -424, -574, -752, -964, -1216?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/223, -1, 246.4, 0.3, -0.2, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (231258\/(-9))\/(((-220)\/(-30))\/(-11)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -0.0493, -0.9, -17?\nAnswer: -0.0493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 8 + 22. Let u = -4\/87 + -239\/58. Find the common denominator of u and (-19)\/3*(p\/11)\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -42. Suppose -32 = -7*s + 3*s. Calculate the greatest common divisor of s and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18624 and 12496512.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -246 - (1 - 1). Let x be h\/(-78) + (-2)\/13. Suppose t - 76 = -x*t. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24814 divided by 627?\nAnswer: 1306\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - l - 155 = 0, w - 4*w + 3*l = -81. Let q = -1700 + 1702. What is the greatest common divisor of q and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:17 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256749*15.62.\nAnswer: 4010419.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p. Let d(v) = 14*v. Let c(n) = -6*d(n) - 5*m(n). Let k(y) = -10*y. Determine c(k(w)).\nAnswer: 240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**2. Let d(g) = 6*g**4 + 4*g**3 - 18*g**2 - 100*g. Let r(l) = d(l) - 4*m(l). Find the second derivative of r(p) wrt p.\nAnswer: 72*p**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, 0.1, 0.3, -2 in descending order.\nAnswer: 1, 0.3, 0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -446 + 7?\nAnswer: -43e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1092097500.766+0.3\nAnswer: -1092097500.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 6. Let c be k(2). What is the third biggest value in 4, c, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-20)\/((i*i**4\/i)\/i*i*i**(2\/15)) assuming i is positive.\nAnswer: i**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565413152?\nAnswer: 2, 1999, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-108)\/(-10))\/(2\/20). Suppose 14*j - 17*j - t = 0. Is j\/5*40\/(-16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3514*n + 56295 wrt n.\nAnswer: 3514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283152 by -204.\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1622974 greater than or equal to -1622887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1393040166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11160?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497070851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 75 - 33 - 2*o)*(6*o + 3*o + o).\nAnswer: -20*o**2 + 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 6)*(3*z - z - 3*z)*(-955691 + 2864*z + 955691) in the form v + k*z + w*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 17*h**2 - 15*h + 1. Does 4 divide f(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/29305?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 6*d**2 - 3*d + 4. Let a be 8\/12 + 46\/(-6). Let q be g(a). Let z = q - -102. What is the remainder when z is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t + 7 = 59*t. Which is smaller: 2\/1631 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 = 5*i, -2*i + 19 = 2*q - 3*i. Suppose -3*l + 7*l = q. What is the third derivative of -3*f**2 + 9*f**2 + 2*f**l - 12*f**3 wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Let i(k) = 23*k. Determine g(i(r)).\nAnswer: -529*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-30)\/12)\/(75\/(-275580))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77367 and 243253?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.7 - 2.7. Let q = 39 - y. What is the smallest value in 4, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.390543 millennia to decades.\nAnswer: 139.0543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 - 4*k**5 - 1 + 2*k**5 + (3 + 0 - 1)*(2 + 3*k**5 - 2) - 4*k**2 + 4*k**2 - 2*k**5.\nAnswer: 6*k**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 - 3*a + 2. Suppose 0 = -5*g + 385 - 440. Let x(d) = -17*d**2 + 8*d - 5. Give g*q(m) - 4*x(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1 + 1 + -22). Let w = 23\/60 - t. What is the second biggest value in w, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1152 - -8067\/7. Sort r, 2.38, 0, 4 in decreasing order.\nAnswer: 4, 2.38, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:48 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-3655)\/3. Suppose -3*x + 4*f = 430, 3*x + 366 = 3*f - 66. Let u = x - s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 1:21 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3629 and 2483?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**2)*g)\/g**(1\/2)*g**(2\/9)\/g**(1\/4) assuming g is positive.\nAnswer: g**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.5 (c) 12\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69130*u + 69139*u = -4*s + 28, u = -4*s + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/399216818 and 95\/366366.\nAnswer: 1197650454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 19 = s, 0*d - d = 4*s - 11. Let m = s + 44. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -887*i**2 - 906*i - 9. Determine b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/13)\/(u*u**5)*(u*(u**(-1)\/u)\/u*u)**(-50) assuming u is positive.\nAnswer: u**(570\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + ((sqrt(425) + 1*sqrt(425))*-5)**2)*2.\nAnswer: 10*sqrt(17) + 85000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3869931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.3. Let y be -1 + -1 + -11 + 16. Suppose 10 = 7*r + y. Which is the nearest to g? (a) r (b) 2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.424 - -2.934. Round x to 1 decimal place.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.917714 to two dps.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:56 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 1550*l**2 - 18747*l + 33. Give m(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125.2 in 589, 2\/25, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 17*l + 2*l. Solve -4*k + 4*q = 4, -17 + l = 4*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -142, -167, -172, -127, -2?\n\"Answer: 5*g**3 - 20*g**2 - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 12*m - 1. Let g be j(-5). Let n = 39 + g. Suppose -33 = -4*q + q + 3*a, n*a = -4*q + 30. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -1097.20552951.\nAnswer: -1097.10552951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 1223642065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-3 + 2)) + -1. Let j = s + 3. Factor -2 + 7 + 28*l**2 + 15*l - 2 - j.\nAnswer: (4*l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:15 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41151 - 41126. Solve -z*l - 231 = 8*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*j - 17, 0 = k + 4*j + 1 - 0. What is the closest to 1\/3 in k, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8375 - 0.1625. Which is the third smallest value? (a) 5 (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3157109 - 29642891. What is y rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/3 + 106*d**2 - 1476*d - 56800\/3 = 0.\nAnswer: -8, 25, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and -167\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38908, -39153, -39388, -39607, -39804?\n\"Answer: d**3 - d**2 - 249*d - 38659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 100, 163, 248, 361, 508, 695, 928?\n\"Answer: f**3 + 2*f**2 + 34*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3908*a**4 + 124*a**3 + 114520028*a**2 - 1?\nAnswer: -93792*a + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/20 - c**4\/12 - c**3\/2 - c**2 - 8*c. Determine b(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-6)*(62 + -59)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 217, -0.72, 0.4?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -426, -961, -1710?\nAnswer: -2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 188624 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4285 is divided by 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, g: 7}. What is prob of sequence gg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/(g**(-3\/7)\/g*g))**(1\/33)\/(g**4*g**(-4)*g)**(-3\/8) assuming g is positive.\nAnswer: g**(183\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9726504 is divided by 443?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765543482.\nAnswer: 2, 3, 313, 313373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33*67*(-3 + 2). Calculate the common denominator of (-176)\/u - 2\/(-3) and (8 - 6) + 3\/((-36)\/310).\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 353*f**2 + 304*f + 8. Let d(u) = -1057*u**2 - 911*u - 28. Let y(m) = 7*b(m) + 2*d(m). Find the second derivative of y(n) wrt n.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 22 = -2*u, -u + 9 = 4*u - 4*o. Suppose 4*s + u*b - 6*b = 15, 0 = 3*s - 3*b. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.2 and -4233456587020.\nAnswer: -4233456587004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9804028181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbvq when four letters picked without replacement from {q: 1, g: 2, v: 1, h: 2, b: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -235*d**2 + 1\/420*d**7 + 0 - 1\/40*d**5 - 25\/48*d**4 + 3\/2*d**3 + 3\/80*d**6 + 0*d. Factor t(x).\nAnswer: (x - 1)**2*(x + 2)*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let t = 10 + -5. Solve t*b - 11 = j*y, 10 = y + y + 2*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 436 and 4925310188.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1729204128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 32 + 30 + 5*k + k. What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) + -5 + 0 + 4 + 5)**2.\nAnswer: 88*sqrt(2) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*w + 4659, 0*k + 8 = 2*k. Let i = w - 3189\/2. Let u = -2\/359 + -8963\/2154. Calculate the common denominator of u and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43116 at most 43115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 23.015. Let p = j + -7.815. Let v = -2.8 - p. Which is the nearest to -0.4? (a) v (b) 1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/30 - (1\/(-6) + 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -31001*d**3\/3 + 5*d**2 - 5*d. Let x be v(5). Round x to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13946, 13723, 13504, 13289, 13078, 12871?\nAnswer: 12668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1, -50, -272 in decreasing order.\nAnswer: 4, 1, -2, -50, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*x - 17, 1020 = -4*x + 1024 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 93363*t**2 + 151810?\nAnswer: 186726*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/6 + 3*(-6)\/(-27). Are -12 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 0*g**3 + 11*g + 6*g**2 - g**3 - 4*g. Let l be y(6). What are the prime factors of (l\/(-20))\/(6\/104)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -8 (c) -1\/424 (d) -5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 57*f + 4 - 31*f - 27*f. Let i(p) = 1. What is -4*i(b) + t(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 2, -137\/17, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:03 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j + 0 + j**2 + 5\/336*j**8 - 1\/20*j**5 + 0*j**3 + 0*j**7 + 0*j**6 + 0*j**4. What is the third derivative of s(q) wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 - 651204*o\/5 + 19648120.\nAnswer: 4*(o - 162650)*(o - 151)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 246*m**2 - 1679 wrt m?\nAnswer: 492*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58086 and 4?\nAnswer: 116172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 4. Determine b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (149*t + 22*t - 38*t)*((2 - 2 - 1)*(-4 - 3 + 6) + 1 + 0 + 0 + (4 - 3 + 0)*(-1 + 0 + 2))*(-4 + 2 + 0 + (1 - 4 + 2)*(-3 + 5 + 0)) to j + l*t and give l.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -133. What is the nearest to 0 in -4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(v**2 - 4*v**2 + v**2) - 32*v**2 + 23*v**2 + 19*v**2 as o*v + l*v**2 + n and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 2. Let r be p(-5). Let i(q) = q**2 - 6*q + 3. Let g be i(r). Let d = -1 + g. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3499142 is divided by 1166.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18260 - 1.1.\nAnswer: 18258.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -5*b**4\/4 + 4*b**3 + 5*b**2 + 34*b. Let q(d) be the first derivative of v(d). Find the first derivative of q(y) wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73837 = 4144*r - 492381 for r.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 672 and 288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18265325 and 1495.\nAnswer: 420102475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bll when three letters picked without replacement from {b: 1, s: 1, r: 4, l: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2948776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8978*x - 397. Is m(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 143, 610, 1363, 2402, 3727, 5338?\n\"Answer: 143*f**2 + 38*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 346517203 to the power of 1\/2, to the nearest integer?\nAnswer: 18615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j - 7, -4*j + 561 = x. Let u = x - 296. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 40. Let s = -32 + 32. What are the prime factors of w(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - (-520)\/(-1425). Is -7 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -38, -0.1, -0.07, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000010010 (base 2) to base 3.\nAnswer: 11020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -9c3a2?\nAnswer: -9c3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3200 + 51221\/16. What is the common denominator of -121\/18 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(4\/(-72)). Suppose 4 = -11*v + j*v. Solve -d + s + 15 = -2*s, d - v*s = 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*t = 150*t - 382*t + 3716160. Calculate the greatest common factor of t and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39968120 divided by 545?\nAnswer: -73336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {z: 7, x: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*f - 764*f = -408*f - 1406 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) - 1*sqrt(1377)) + sqrt(102)\/sqrt(54) - (sqrt(1377)*-1 + sqrt(136)\/(-3*sqrt(8)))**2.\nAnswer: -13364\/9 - 23*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 - 12*s**4 - 9*s**3 + 30*s**2 + 24*s.\nAnswer: 3*s*(s - 4)*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/7, -2\/7, 2\/5?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 - 3*m**4 + 4*m**4 + (0*m**2 + 5*m**2 - 3*m**2)*(-m + m**2 + m).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x - 17*x + 9*x in the form w + q*x and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 5*o)*(282 - 279 + 1490).\nAnswer: 2986*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1157 + 2618. Is v 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 7248715, 14497422, 21746129, 28994836, 36243543?\n\"Answer: 7248707*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(567) + 1 - ((sqrt(567) - 3*sqrt(567))**2 + 2 + sqrt(567)) - 6*(-1*sqrt(84)*-1 + sqrt(84))\/(sqrt(768) - 2*sqrt(768)).\nAnswer: -2269 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12713 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 630 + 638 = 0. What is the remainder when v is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0141705 * 0.07.\nAnswer: 0.000991935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402.7 - 403. Let x = -15 + 23. Which is the third biggest value? (a) 0 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -34. Let i = 17.48 - k. Let o = 0.02 + i. Which is the biggest value? (a) 0 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599716 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10706, 42868, 96494, 171584, 268138?\nAnswer: 386156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 2159*l**8\/336 - 191*l**5\/10 + 561*l**2. What is the third derivative of a(j) wrt j?\nAnswer: 129540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.935 years in millennia?\nAnswer: 0.260935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 2c?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/17, -1, 5, -0.27.\nAnswer: -1, -0.27, -0.1, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1424 + -1426. Which is the second biggest value? (a) i (b) 2\/9 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106, -100, -94, -88, -82?\n\"Answer: 6*f - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214.004 - 213.10373. Let v = -0.73 + -0.17. Let g = v + y. Round g to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/231*10\/(-35).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 193 + 444 + 421 = 0. Calculate the least common multiple of 203 and x.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5276203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -245?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223.501 years to months.\nAnswer: 14682.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 641861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5) + -8 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217108707.\nAnswer: 19, 64058353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + ((-27125)\/(-575) - 4\/23).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 2*v + 51. Let b(a) = 3*a - 15. Let h(o) = o - 1. Let y(p) = -b(p) + 4*h(p). Let u be y(-11). What are the prime factors of l(u)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -7 + 1*36. Suppose d = 4*s + 7*s. Suppose s*t = -t + 5*j + 241, 0 = -2*j - 10. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 124*x**2 - 2282*x - 232196. Calculate q(-121).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2810944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -5*v + 729, 415*x - 412*x = v - 269 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(304)*-2 + sqrt(95)\/(sqrt(5) - sqrt(125)))**2.\nAnswer: 66*sqrt(19) + 20947\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252 + 270. What is the third derivative of 33*u**6 + 99*u**2 - 18*u**5 + s*u**5 - 101*u**6 wrt u?\nAnswer: -8160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 59 = 3. Let a(b) = 28*b**2 - 253*b + 1180. What is the remainder when a(5) is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 + 4*i - 8. Let l be o(-4). Let s = l + 27. Suppose 2*n = r + 7*n - 24, 96 = 4*r - s*n. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 188*p - 186*p. Let j(w) = 13*w**2 - w - 1. Calculate j(p).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/10)\/(-10 + 990\/100). Let z be (t - -3)\/(15\/(-10)*-1). Suppose 0 = u - 1 + 6. Which is bigger: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2358.88 - 2400. Let t = w + 42. What is t rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -613.9111 - -614. Round o to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 17*s**2 - 17*s - 10. Let b be n(-16). Let x be -2 - (1 + (-2 - 1)). Suppose f - b*f + 220 = x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5268 + 620. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 = 2*f. Let o(t) = -10*t - 1 - 16 - 4 - 17*t. Let k(c) = 9*c + 7. Let y(n) = -7*k(n) - 2*o(n). Let v(x) = -5*x - 4. Calculate f*v(q) + 4*y(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let k = -0.11 - -0.01. Which is the nearest to k? (a) -5 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -0*n + 2*n, 0 = 3*i + n - 14. Suppose -i*b + 175 = -0*b. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3454*l**2 + 1545*l**5 + 2235*l**5 + 260*l**4 - 260*l**4 wrt l.\nAnswer: 226800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*t**4 + 2 + (-4*t + 2*t + t)*(-3*t**3 + t**3 - 9*t**3).\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + -2130?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306379*a - 153771*a + 75772*a + 196624*a.\nAnswer: 425004*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8 - -1.8. Let v = 6.32 - 6.27. Sort -4, x, v in increasing order.\nAnswer: -4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r**2 + 0*r**4 - 3\/5*r**5 - r - 1 + 0*r**3. Differentiate b(u) wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -749.\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.181 + 21.919. Let r = m + -33.4. Let d = r - -6.3. Sort d, 3, 4.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/168 and -16\/357.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164208600 + -88008600. What is x rounded to the nearest one million?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + 11 + 200\/(-15). Which is the second biggest value? (a) q (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 115815*c + 463180.\nAnswer: 5*(c - 23159)*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -13\/8*z**4 - 63*z**2 + 0*z + 11*z**3 + 0. Find the first derivative of q(a) wrt a.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(0 - (-4)\/6). Let t(a) = -17*a + 254. Let x be t(22). Let q be (-10)\/(-50) + 4\/x. What is the third biggest value in y, 3, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 7:42 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*h*x**3 + 6*h*x + 2*h - x**3 - 19289*x**2 wrt h.\nAnswer: -37*x**3 + 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j - 42. Calculate k(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9325 + 4*d**2 + 9325.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000383667897 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167811411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1767, 7085, 15947, 28353, 44303?\n\"Answer: 1772*s**2 + 2*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.014502 in -7, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 0, -5*m = -2*m - m + 5*g + 110. Which is smaller: m or -37?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4425687 - -3?\nAnswer: -4425684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333*v = 1332*v - 3*b - 23, 4*v = -b - 59 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 895 + 4860. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291 + 496. Let r be (d\/65 - 3) + (-1500)\/(-52). What is the greatest common factor of 174 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 13*j - 13*j + 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 + 3*b - 793. Let o(f) = 5*f**2 - 3*f + 791. Let x(r) = -3*m(r) - 2*o(r). Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -8 + 0*f - 19\/2*f**2. Let w(r) = 0*r**2 + 2*r**2 + r**2 - 4*r**2. Calculate w(x(z)).\nAnswer: -361*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -58.61. Let b = z - -4.61. Let m(p) = -p - 2. Let l be m(3). What is the third smallest value in l, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrvrwvhhvvrvvvbhvhv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 33*d - 114. Let z be r(4). Solve -3*p - 12 = z*w, -4*p - 8 = 4*w + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-47)\/((-1269)\/(-432)))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2614, 5049, 7496, 9961, 12450, 14969?\nAnswer: 17524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, f: 1, r: 1, b: 1}. Give prob of sequence jbf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178527690 and 3960.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32*3068\/(-4992)*-3\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/126 + 164\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/9 + 2467936*x**4\/9 - 93784048*x**3\/9 + 503473664*x**2\/9 - 967460192*x\/9 + 631811072\/9 = 0. Calculate x.\nAnswer: -1234006, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24564207.19 from 2.36.\nAnswer: -24564204.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 3*i + 0*i + (3 - 1 - 1)*(-i + i - 2*i) + 3*i + 3 - 3 - i - 3*i - 2*i - 2*i + 0*i - 2*i + (1 + 3 - 3)*(-i + 3*i - 4*i) to o + m*i and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d + 240. Let y(q) = 4*q. Let o(m) = t(m) + 2*y(m). What is the smallest common multiple of 77 and o(-9)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 8*v - 1. Calculate w(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m. Let y = -147 + 151. Suppose 0 = t - 4*v + y, t - 27*v + 28*v = -4. Let x(q) be the first derivative of q**2\/2 + 1. Determine t*w(g) + 45*x(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:39 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759 - (-7)\/((-42)\/6).\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 336*m - 4. Let k be x(-1). What is k rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98\/297 + 4\/27. Which is the nearest to t? (a) -1 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 54 = 2*c, -2*c - a - 8 = 14 - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - 63. Let o = -75 - w. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 5*o + 136, -4*j + 5*j - 18 = 2*o. Let l(n) = -6*n + 127. What is l(j)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729495217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1121 times 93253\nAnswer: -10453.6613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 9*b + 3. Let z be i(8). Let u = 20 + z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2102433 + -402?\nAnswer: 2102031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 4*v. Put 3, -4, 5, v in increasing order.\nAnswer: -4, 3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 984 in 2\/3, 3, 0.1, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178 + 4*w**5 - 22*w**2 + 18*w**4 - 178 wrt w.\nAnswer: 240*w**2 + 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/sqrt(3)*6)\/(sqrt(112) - -1*sqrt(112)))**2 + 3.\nAnswer: 111\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -932, -3099, -6706, -11747, -18216, -26107, -35414?\n\"Answer: b**3 - 726*b**2 + 4*b - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j**3 - 6*j + 6*j + j**3 + 0*j**3 - 3*j**3 + (-3 + 3 + 3*j)*(2 + 2 - 6)*(-2*j**2 - 5 + 5).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1052400 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1737 and -0.2?\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l, -2*w + 8 = 3*l - l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/995 and -43\/1855?\nAnswer: 369145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:39 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*m**3*r - c*m*r + 5*c*r + 3*c + m**3*r - 5*r with respect to m.\nAnswer: -6*c*m**2*r - c*r + 3*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 6 - 6)*(-l**2 + l**2 + l**2 + l).\nAnswer: 3*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27810 = 2*w + 23*r - 20*r, 0 = 2*r + 8. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 16*g - 7*g - 9*g - 11*g + 42*g to w + u*g and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14 - 2*g - 8 - 1. Let a = -19 - -22. Let t(n) = n - 1. Give a*t(i) + j(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 3, j: 2, a: 2, r: 4}. Give prob of picking 1 a and 2 c.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101380510 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9203974?\nAnswer: 2, 13, 79, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*v + 77 = 0, 3 = 2*z - 2*v - 15. Let p = -2 + z. Suppose 3*k + 5 - p = 0. Solve 0 = -2*g + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19)*s)\/(s*s*s**(2\/21)*s)*s*s\/((s*s\/(s**(-20)\/s*s*s))\/s)*s\/(s**8*s) assuming s is positive.\nAnswer: s**(-989\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 + 1440*m**2\/7 + 117909*m + 14498946.\nAnswer: -(m - 1902)*(m + 231)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.34. Let p = -1.3 - -2.2. Let k = p + -0.8. Which is the nearest to n? (a) 0.4 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 - 0 - 1 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -21) + (-3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66.67 + 67.07. What is the closest to -2\/3 in 0, a, -9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 1 - 1)*(x - 1 + 1) - 13*x + 4*x**5 + 13*x + x**5 - 3*x**5 + 0*x**5 - 2*x**5 + 0*x**5 + 0*x**5 + (3*x**5 - 3*x**5 + x**5)*(7 - 3 - 3).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133641?\nAnswer: 3, 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -0. Let r be z\/3 - (-256)\/48. Solve 2*v = r*c + 9, 0 = c + c + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 28. Let d(t) = t**3 - 14*t**2 + 20. Let o be d(m). Suppose i - o = 141. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166194 and 83373990?\nAnswer: 250121970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 223475*h**2 + 1787848*h + 3575728.\nAnswer: -(h - 223483)*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*v + 1\/4*v**2 + 0.\nAnswer: v*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let b be v(-2). Let z be ((-2)\/4)\/((-5)\/50). Solve 0 = -b*r - z*h - 21, -4*h + 2*h = 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33736560 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 887 in increasing order.\nAnswer: -0.2, 0, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 7*i - 7. Let p(n) = 4*n**2 - 6*n + 6. Let u(g) = 7*p(g) + 6*v(g). Let o(h) = 311*h**2 - 335*h**2 + 13*h**2. Calculate o(u(k)).\nAnswer: -176*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4193 and 2842.\nAnswer: 1702358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -526 - -1577\/3. Sort d, -4, -0.036 in decreasing order.\nAnswer: -0.036, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.31 (b) -1 (c) 3\/8 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/87)\/(((-1)\/54399)\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/298893 and -26\/2709.\nAnswer: 896679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135808*f**2 - 3190*f - 10 wrt f.\nAnswer: 271616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -21 - -24) + (0 - (5 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(114) - (sqrt(114) + (sqrt(114) + 2*sqrt(114) - sqrt(114))))*-4)\/(sqrt(6) + (sqrt(6) - sqrt(576)\/sqrt(6) - sqrt(6))).\nAnswer: -8*sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2603 and 1.\nAnswer: -0.2603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4114145 is divided by 3911?\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/140*(-2)\/7.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -15?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/3*12\/(-15). Let q be (256 + -6)\/(2\/x). What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*a**2 + 210*a + 329*a**2 - 210*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-693)\/135)\/7)\/(6\/(-30))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2573511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111601 = -114*m + 100657 for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398*p = 3734*p + 139*p - 44642 + 171146 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*t + 45 = 64, 4*t - 4 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (12 + (2 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:02 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -180. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4856709 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 39*t**2 - 3*t**2 + 42 - 22*t**3 - 14*t + 58*t**3 - 34*t. Let y(i) = 5*i**3 + 5*i**2 - 7*i + 6. Let n(d) = -6*q(d) + 44*y(d). Factor n(b).\nAnswer: 4*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 5 + (-12 - 2 - -21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205122 by 3.\nAnswer: -68374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2*p**2 + p. Let z = 10 - 2. Let a = z - 11. Let m be a + (-2 + 2)\/(-1). Determine f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 43*t**2\/4 + 871*t + 10472.\nAnswer: -(t - 88)*(t + 17)*(t + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(10\/(-6)))\/(46\/230).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15)*1 - 2\/(-10). Let k be (-3 + (0 - 1))*1. Let y be (-14)\/k - (-2)\/(-4). Solve o = -y*q + q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*d + 515*d = 0. Let r(h) be the first derivative of 4\/3*h**3 + 0*h + 1 + 0*h**2 - 3\/5*h**5 + d*h**4. Find the third derivative of r(s) wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 3. Let x be g(5). Suppose 6*b - b + 2*d = 4, 5*d = b + 10. Let r be (2 - b\/(-1))\/1. Solve x*t - r = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56154, -112545, -169172, -226035, -283134, -340469, -398040?\n\"Answer: -118*m**2 - 56037*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)*n*n**(-1\/12)\/n*n*n*n**21*n*n**13*n assuming n is positive.\nAnswer: n**(451\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6495 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15971, 127566, 430423, 1020158, 1992387, 3442726, 5466791, 8160198?\nAnswer: 11618563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*h**4*u - 46*h**3*u**3 - 7*h**3*u**2 + 394*h**2*u**3 + 2*h**2*u**2 - 39*h**2*u - 8*h*u wrt h.\nAnswer: 744*h*u - 276*u**3 - 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 983870067 to the nearest integer?\nAnswer: 31367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2) + (-15)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1891 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8858 - -8879. Calculate the remainder when (-1405)\/(-25) - 1\/5 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/(-11))\/(2\/(-3)). Solve 0 = -f - 2*d + 5, -3*f = f + b*d - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 304190*n**3 - 4626273600*n**2 + 9253764000*n.\nAnswer: -5*n*(n - 2)*(n + 30420)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2101*i**6\/10 - 2*i**3\/3 + 56*i**2 + 2542*i. Find the second derivative of g(k) wrt k.\nAnswer: 75636*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + m - 5. Let u(q) = -5*q**2 + 2*q - 10. Let x(b) = 7*r(b) - 3*u(b). Let o be x(-4). Suppose 3*s + o = 40. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -7*s. Which is the closest to 1? (a) s (b) 0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 35*c - 101. Determine h(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -43.998269?\nAnswer: -219.991345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = 0. Suppose -a = k, -j = 5*a + 1 - 5. Solve j*t - h - 12 = 0, h + 3*h + 4 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(-2)\/(-1). Let m be 1 + -1*(s - 0). Let q be (6\/2)\/(m + -7). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 28. Let k = 1 + u. Calculate the smallest common multiple of 12 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v + 4*o, 0 = -4*v - 5*o + 701 - 736. Which is the closest to 12? (a) 4 (b) v (c) -3 (d) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**2 - 2*x - 490 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3249 + 19495. Is 157 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 11103*j**5\/10 + 7*j**3\/6 + 13*j**2\/2 + 19*j. Let v be m(6). Let z = v - 11996551. Round z to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512764984?\nAnswer: 2, 79, 811337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3732 + -3720. Let w = -11 - -17. What is the greatest common divisor of k and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 3052?\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2. Let u(l) = 2888*l. Calculate u(w(b)).\nAnswer: -14440*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8999 - -102.3641. Let b = k + -0.664. What is b rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -4438835.\nAnswer: -4438834.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 6185985?\nAnswer: 30929925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22594 is divided by 538?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7151552*i**3 - 1158556*i**2 - i - 3.\nAnswer: -42909312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 22*k - 345. Is k*14\/(-35)*55 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5254063920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28483 or 142419\/5?\nAnswer: 142419\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(684)*-2 + sqrt(684))**2 + (sqrt(684) - -3*(sqrt(684) - (sqrt(684) + 1*sqrt(684)))**2) + 0.\nAnswer: 18*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636*u + 442504 = 16294*u + 1127031 + 517429 for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*f + 220*f + 1333*f)*(0*f**3 - 2*f**3 - 2*f**3).\nAnswer: -5920*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 2*i**2 - i. Let o be g(2). Suppose 3*t + 3 = 0, -m + o = t + 2. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1223*i = -1226*i + 1863. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-636)\/60 - 2\/5. Let d = -9 - l. Solve d*o - 3 = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32057080541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12178*c + 7844*c + 4344*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from {c: 1, r: 1, i: 2, f: 2, j: 6}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1776, 7114, 15996, 28410, 44344, 63786?\n\"Answer: -2*x**3 + 1784*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/17655678 and -143\/138.\nAnswer: 406080594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = o + 5*i, 2*o + i = 9 - 48. Let u be -2*1 + (-40)\/o. Is 0 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94935842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6069\/28 - (-2)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*i - 3*i + 14 = 0, -12 = x - 3*i. Let z = 0.473 - 0.273. Which is the nearest to x? (a) -1\/4 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9134\/153 + -538\/9. Is 0 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.39 + -0.39. Let l = -2 + 2. Which is the closest to l? (a) -3 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/6*30\/(-50))\/(24\/(-540)*-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159038 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - x = 299, 44*x - 40*x + 20 = 0. What is the derivative of -84*w**2 - 92 - 94 - v + 55 - 3 wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(11) + sqrt(11) - sqrt(11)) + 5 + sqrt(99).\nAnswer: 9 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 20. Suppose 3*b - 1 = o. Solve 2*u - u - 3*u - u**b = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.01? (a) -3\/8 (b) 4 (c) 0.3 (d) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84699942 to the power of 1\/2, to the nearest integer?\nAnswer: 9203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**12\/q)\/q)\/q**(-10)*q**(-19)*q*q**(1\/2) assuming q is positive.\nAnswer: q**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + 16. Let z(s) = -1. Let c(b) = -p(b) - 3*z(b). Let x be c(9). Let k = -23 - x. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*f + 4116 = 148*f. Let r be ((-2)\/(-4))\/((-5)\/(-180)). Let q = r + -11. Calculate the remainder when f is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 7.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - s - 2*s**4 - s + 3*s**4 - 5*s**4 to r*s**2 + p*s**3 + h*s + v*s**4 + d and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60480 and 35280?\nAnswer: 423360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4453366143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 450963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxaq. Give prob of picking 1 q and 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -39715 to the nearest 100.\nAnswer: -39700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*6.78\nAnswer: 40.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 497, 0.1 in descending order.\nAnswer: 497, 0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-5 - -2) + 3 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-10))\/((-1)\/(-5)). Let p(j) = j**2 - 13*j + 17. Let h be p(i). Suppose -100 = t - h*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*n + 13, n = -3*n + 2*o - 14. Let q be ((-10)\/n)\/(2\/(-99)). Round q to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 31*j + 27. Let f be c(-15). Let m be (-4)\/(-3) - (-154)\/f. Solve -m*q - 2 = -7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 1. Let x(m) = m**2 - 9*m + 9. Let f be x(2). Determine w(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3. Let c = 3 + b. Let q = -26 - -25.7. What is the nearest to 0.1 in -0.2, c, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40342223 is divided by 1325?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-590)*(-5)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5979 + -5985. What is the nearest to t in 21.3, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 866786*l**2 + 5*l + 866669*l**2 + 1.\nAnswer: -117*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r**2 + 7*r - 1. Let o be k(6). Do 36 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.4017037 - -6.598295. Let x = -1.1 + 13.1. Let g = j - x. Round g to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5305 or 5308?\nAnswer: 5308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 444 (b) -0.4 (c) -1 (d) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184085.\nAnswer: 5, 11, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1.1 (c) -1\/5 (d) 22\/391\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 204 = -3*m. Suppose -5*q + 56 = k, 5*q - 280 = -5*k - 0*q. Let r = -39 + k. Calculate the highest common divisor of r and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5*(-1460)\/(-18250).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 155 - -29?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 110 = 27*h - 273. Suppose -3*n = -p + 5*p - 20, -p + n = -12. Solve p*v = 13*v + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 s when three letters picked without replacement from gjjppgggs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.977 + 3.653. Let w = j - 4.891. Round w to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 - 1.94. Let h = -2 - o. Let d = -4 - -3. Which is the closest to d? (a) h (b) 0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-76))\/((15\/(-1900))\/(22\/55))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/155 in 3.7, 8\/7, -67, -5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6888, -3080, 728?\nAnswer: 4536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 6 + 2*u - 8 - 16 + 20.\nAnswer: 2*u - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1285*d**2 - 549*d**2 + 227*d**2 to h + c*d + b*d**2 and give b.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 15\/8, 6\/7, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100 in 2, 63, 0.02, 3\/13, -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -1256, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-245)\/10)\/(-7))\/(-9*(-13)\/(-1170)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*f + f + 4*x - 82, 0 = -x + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178900357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 23*c + 24*c + 8*c**3 + 6*c**3.\nAnswer: 21*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/1827*1470\/18?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 736 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 4}. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqztzzfzfftztqzzzft. What is prob of sequence tf?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-24))\/((-52)\/(-208))\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(242)*6*5*3 + (3 + (-1 + sqrt(242))*4 + 2)**2 + -2.\nAnswer: 1078*sqrt(2) + 3871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1\/5, -14 in descending order.\nAnswer: 5, 1\/5, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t. Let n(k) be the third derivative of k**5\/60 - 12*k**2. What is n(u(y))?\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 107*h + 112*h - 5 = 0, -2*h + 21 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19637 divided by -56.\nAnswer: 19637\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 171*d**4\/5 + 201*d**3\/5 - 111*d**2\/5 - 216*d\/5 - 12 = 0. What is d?\nAnswer: -10, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(200)*-1)**2 + (-1 + sqrt(200))*6).\nAnswer: -60*sqrt(2) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 15323267\/6 and 2553878 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2188 - 2186. Let o(g) = g**2 - 3*g - 4. Let u be o(4). Suppose l*v - 8 = -u*v. What is the remainder when 31 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460030 (base 7) in base 11?\nAnswer: 418340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.5 - 725263849.\nAnswer: -725263808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480145?\nAnswer: 3, 5, 165343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*l - 642, -n = 8*l - 10*l - 324. List the prime factors of n.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-290)\/(-230))\/29*2\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -18 + (-2 - (-7 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, o: 1, i: 2, n: 1, j: 1}. Give prob of sequence on.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 187*k + 42 = 163*k, k + 25 = 4*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q + 1. Let g be 2*-1 - (-2 - -5). Let j(x) be the first derivative of 2*x**2 + x - 4. Calculate g*j(k) + 3*r(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(70)\/sqrt(7))\/sqrt(2) + -2 + (sqrt(5) - 2*sqrt(5))**2).\nAnswer: -6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f + f**2 + (-3*f + 2*f + 0*f)*(-4 + 0 + 2)*(-9*f + 2*f - 20*f) + 3*f**2 + 0*f**2 - 2*f**2 to the form y*f + n*f**2 + l and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 88*y - 1298. Let v be q(16). Solve -10*x = v - 386 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 2724312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m + p, -6 = 5*m - m - 2*p. Solve -5*s + 3*y - 6 = 0, 2*y - m - 3 = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000461062 rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1173\/5865)\/(2*1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85768498.\nAnswer: 2, 269, 159421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/8 - q**3\/6 + q**2 + 4*q. Let d(g) be the first derivative of s(g). Give d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 80, -25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -540 - 7a?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.7, 5, 0, 594, 2, -2\/13?\nAnswer: 594","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48934 and 14?\nAnswer: 342538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-81))\/((-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) 3\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1784*w - 1786*w - 65*w**3 - 612*w**3.\nAnswer: -677*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 10) to base 15.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 133\/3. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-648597)\/130590 + 28\/10.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - -3 - 1*-9. Let i be ((-15)\/(-35))\/(9\/m). Let o = 3\/34 - 13\/51. What is the smallest value in i, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 6014?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25101 plus 2179980?\nAnswer: 2205081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*t = -18865 - 12995 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -118.07939 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.17*-16\nAnswer: -18.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 12*j**2 + 4)*(-2 - j + 5*j + 1) to o*j + l*j**2 + b + k*j**3 and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 53525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 47917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 136\/340 + (-90)\/(-25)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4 + 2*t - 3254. Let s(u) = 143*u**2. Give k(s(v)).\nAnswer: -245388*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083730313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 44.85 (c) 37105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.053 - 0.743. Let b = r - -0.79. What is the closest to b in 1, 5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/12 - 7*l**3\/6 + 5*l**2\/2 + 3*l. Let i be c(-7). Let j(a) = a + 0*a + 6 - 2*a. Calculate j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -424?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*u - 99*u = 24736. Let l = 5445 + u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 + 4 + 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 0, -1\/9, 0.1 in descending order.\nAnswer: 98, 0.1, 0, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1792, -1, 0.\nAnswer: -1, 0, 5, 1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438292 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4 + (4 - 6 + 1)*(1 - 1 + 1) + 3 + 0 - 4)*(1 - 11 - 11)*(0 + 2*h + 0).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 - 7*g**2 + 66*g + 25. Let o(x) = 6*x**3 + 12*x**2 - 98*x - 35. What is -7*m(v) - 5*o(v)?\nAnswer: -2*v**3 - 11*v**2 + 28*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**4 + c**3 + c. Let f(r) = -r**5 + 5*r**4 - 383*r**3 - 2513*r**2 - 5*r. Let n(a) = -f(a) - 5*o(a). Find the third derivative of n(z) wrt z.\nAnswer: 60*z**2 + 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84177 and 348129.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 579419*k**2 + 39 - 579413*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*b**2 - 134*b + 134*b + (2*b**2 + 2*b**2 - b**2)*(-12 + 7 - 4).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/7 + -3\/14. Let g be 14\/(-28) + 11\/(-2). Let i be (g - -9) + (-7)\/1. What is the third smallest value in 3\/4, i, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hodi when four letters picked without replacement from {h: 1, i: 3, q: 5, d: 2, a: 1, o: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -11 - 79\/30*q**5 + 0*q + 0*q**4 + 0*q**3 + 31\/24*q**6 + 12*q**2. Find the third derivative of s(f) wrt f.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 3 = -q. Suppose 4*s - 1 = -q. Let r = -7 - s. 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: Simplify (sqrt(2) - (sqrt(72)\/sqrt(4))\/sqrt(9) - 1*sqrt(242))**2*-1.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*p = 180, -5*p - 162 = -4*a - 59. Let v be ((-1888)\/a)\/(-1 - 0). Which is smaller: v or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 18*n**2 - 2*n**2 - 5*n to p*n + m*n**2 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1233*s**3 + 89 wrt s?\nAnswer: -3699*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -9 (c) 62\/5 (d) 0.01 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2766.5 - 2767. What is the second smallest value in r, -2\/5, 7, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 13}. What is prob of sequence fyy?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9360970 + 9360970.15600146. Let q = z + -0.156. Round q to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 176*f\/3 + 584\/5.\nAnswer: 2*(f - 438)*(f - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 3}. What is prob of picking 1 n and 2 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 30 + 18*k**3)*(0 - k + 2 + 0) in the form v*k**3 + p*k**4 + q*k + c*k**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)*h**1*h*h**6*h*(h\/((h**5\/h)\/h))\/h*h)\/((h**(-2)*h)**(-2))**(-2) assuming h is positive.\nAnswer: h**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1036 = -3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 86529708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:16 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(153) + (sqrt(153) + (sqrt(153) + -1 - sqrt(153)) + -2)**2)*-2.\nAnswer: -90*sqrt(17) + 990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-1\/5)\/((z*z\/(z\/z**(3\/4)))\/(z\/(z*z\/z**(-3\/8))*z)))**(-3\/13) assuming z is positive.\nAnswer: z**(303\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 411*m*v - 4*m - 1284*v wrt m.\nAnswer: 411*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1617*t + 1346. Is d(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i + 70*i - 29*i - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -29*y - 1. What is the remainder when 81 is divided by g(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 6 - 33 + 8*m + 55.\nAnswer: 8*m + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 1, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30381150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let p = 14 + -13.9. What is the nearest to 0 in p, n, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7502 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:19 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 356414 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -36 - (-98 + 143)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2. Let x = -44 + 29. Let j be x*(0 - 2)\/2. Let a = j - 9. Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(3\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1204 - 1168. Solve 11 = 5*x - 3*d + n, -2*x + 21 = 5*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*j = 3*d - 20, -4*j = 2*d + 8. Suppose d*q = 2*q. Suppose q = 5*c - 2*c - w - 67, w = -c + 25. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002532138 rounded to 6 dps?\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*k**5 - 14975*k**4 + 9*k**2 - 277268*k - 4 wrt k?\nAnswer: -1680*k**2 - 359400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*p = -14, 5*p = 2*s + 4*p - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1831, -3664, -5497, -7330?\n\"Answer: -1833*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8436 divided by -2109.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243252 and 957.\nAnswer: 2675772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 3440 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48890, -46110, -43332, -40556, -37782, -35010?\n\"Answer: -m**2 + 2783*m - 51672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52221 and 662805?\nAnswer: 8616465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-35) - -6)\/(12\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 6*p. Let t(j) = j + p*j - 2 - 9. Let x be t(20). Solve 11 = 4*y - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 - 8*f - 5. Let g be a(-5). Let o be -4*91\/312*-6. What is the greatest common factor of g and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {z: 5, b: 8, g: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:29 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 363 and -0.3?\nAnswer: 363.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711694071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - h - 2*x = 93, 0 = -2264*h + 2259*h + 4*x + 181 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2203444 + -1427831105\/648. Let n = 5\/81 - d. Let q = -169693\/20 + 8489. Find the common denominator of q and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 3. Let h be j(5). Suppose 4*i = 0, -i + 0*i = -h*m + 12. Solve -5*g + m - 31 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28093*n**2*y**2 - 12*n**2*y - 2*n**2 - 11*n*y**2 + 2*n*y - 3*y**2 - 2394 wrt n.\nAnswer: 56186*y**2 - 24*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 22 = x - 307 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + 34. Let x = 211 + i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366360291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -19. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 2 - 4*n**3 + 8*n**4 - 7*n**4 to the form i + h*n**3 + q*n**4 + z*n + s*n**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010570979 to 7 decimal places.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 330747 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -82, 5, 1, -766 in descending order.\nAnswer: 5, 3, 1, -82, -766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 32*p + 707. Let t be a(-22). Let k(j) = -j**2 + 61. Let d be k(0). Find the third derivative of 30*o**2 + d*o**6 + 2*o**t - 2*o**3 - 53*o**6 wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 23\/24*d**4 + 51*d**2 + 0*d**3 + 0*d + 0 - 23\/60*d**5. What is the second derivative of a(o) wrt o?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q + 18*q - 9*q)*(-1 + 0 + 3 + (3 - 1 - 1)*(-6 + 4 + 0) + 2 - 1 + 1) + 1 - 1 + q.\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {j: 4, g: 3, u: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 501 * -6.55\nAnswer: -3281.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 g when four letters picked without replacement from {g: 8, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3810 and -143\/300.\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 171574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*w**2 + 3*w**5 - 1 + (-4*w**3 + w**5 + 4*w**3)*(1 - 1 - 1) - 3*w**5 + w**5 + w**5.\nAnswer: w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 13 + 10 = -d, 3*d - 4*m + 21 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/8*(-20)\/(-90)*3\/(-124)\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -104*v - 283. Determine k(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26366 - -44546. Suppose 2297 = -7*k + g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0282090251 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98.77 - -9.63. Let w = 6515 + -6623. Let h = w + c. What is h rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -1 + (3 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let d be 3843\/(-35) - (4\/(-5) + 1). Let o = d - -112. Let c(a) = 0*a**o - a**2 + 6*a**2. Give c(q(u)).\nAnswer: 45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 b when three letters picked without replacement from pbphoao?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -517\/6. What is the second biggest value in 0.5, 2, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25032 - 24769. What is the remainder when 962 is divided by w?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -12, -6, 2, -2 in descending order.\nAnswer: 6, 3, 2, -2, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 4*t**4 + 2*t**4)*(0 + 2*t + 0) - t**5 + 99*t**3 + 4*t**4 - 99*t**3 - 4*t**2.\nAnswer: -7*t**5 + 4*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 313815?\nAnswer: -627630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/9 and -53\/1206?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2240)\/1344*(-15)\/(30\/6)*-5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, p: 2, w: 1, o: 2, u: 1}. Give prob of picking 1 u, 2 o, and 1 w.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88112826 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 9*u - 12. Let j be l(-6). Let m be (7 - 621\/(-36)) + (-3)\/(-4). Let w = m - j. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/(-10) + 196\/(-490) - 48*-391 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*s**3 - 5*s**4 + 345 - 41*s**3 + 92*s**3 - 7*s**4 wrt s.\nAnswer: -48*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(19 - 79) - 249\/72 and 17\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1393)\/(-17) - (-15)\/255. Is 6 a factor of x\/7 - 164\/(-574)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -1.1. Let h(u) = -u**2 - 8*u - 8. Let s be h(-7). Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.083 - 51.917. Let t = h + 57. What is the third smallest value in -2\/3, t, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2029 + 2033. Put -93, -2, s in ascending order.\nAnswer: -93, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4)\/(z*z\/(z\/(z\/(z*z**(-4)))*z)*z)*z\/(z*z\/(z*z**0))*z*z*z*z*z\/(z\/(z\/(z\/z**(-2)))) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4027 = -987. What is the third derivative of 3*o**3 - t*o**2 + 2*o**5 + 739*o**2 - o**3 wrt o?\nAnswer: 120*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -7b?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/335 and 25\/2599.\nAnswer: 870665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374)\/(-51))\/2*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.97 - 0.13. Let l = r + 0.7. Let k = 0.1 - l. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1661375*w**2 + 3546461*w.\nAnswer: 3322750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3, l - 64*s + 14 = -60*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o + 3. Let a be q(-3). Let i(p) = -p - 1. What are the prime factors of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.0005998 to two dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062371441.\nAnswer: 1062371441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t - 5. Let m be (24\/(-10))\/(6\/20). Let l(i) = -14*i + 8. Give m*q(s) - 5*l(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3688552958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -12*u**2 + 43*u + 28. Let v(o) = -7*o + 14. Let a(c) = -2*t(c) + 7*v(c). Calculate a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1413566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 6*m**2 - 10*m + 8. Let v(q) = q**3 + 11*q**2 + 18*q - 15. Calculate 11*h(i) + 6*v(i).\nAnswer: -5*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*k**2 + 101*k**2 + 121*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejoo when four letters picked without replacement from {o: 6, c: 2, e: 1, j: 3, a: 5}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 91 - (-6 - 4)) + -23.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/657328 and -101\/93904.\nAnswer: 657328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 4*z**4 - 2*z**4 + z - z**4 + 2*z**2 - 3 as a + q*z**4 + p*z + u*z**2 + w*z**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 12*b**2 - 8*b.\nAnswer: -4*b*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:35 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2*8)\/(10\/(-6059)). Let v be 3\/(1 + -2) - -2416. Let c = v + f. What is the common denominator of -103\/22 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -93. What is the remainder when (56 + -12)\/(-2 - -4) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573822288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -0*q. Let g be (-4)\/q*(-156)\/4. Suppose -4*h + 6 = -g. Solve m = h - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = 56 - 7 + 140 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -8, 252 in ascending order.\nAnswer: -8, 35, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 21384\nAnswer: -7\/10692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 13*u**2 + 13*u - 9. Let q = 0 + 12. Let x be i(q). Suppose -x*l + 99 = -18. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - -7432?\nAnswer: 7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 11. Let q(a) = -5. Let d(n) = -5*q(n) - 3*r(n). What are the prime factors of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494.7*0.4.\nAnswer: 197.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1026)\/95)\/((-13)\/7735) a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141330 + -2323?\nAnswer: -144203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 3*u**4 + 5*u**4)*(13113 - 13113 - 132*u).\nAnswer: -528*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 144, 137, 128, 117?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((0 + sqrt(72))*6 - (sqrt(72) - (-2 + sqrt(72) + 4)))**2.\nAnswer: 144*sqrt(2) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.408 - -0.854. Let t = s - -0.754. Which is greater: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7285 at least 0.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 + 18947?\nAnswer: 19657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710*o**3 + 218*o - 218*o.\nAnswer: 710*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1953.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 8)*(-5*o + o + 3*o + 1)*(-11*o**3 - 21 + 21).\nAnswer: -11*o**4 + 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34\/9, -294438 in ascending order.\nAnswer: -294438, -3, 34\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = -55*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 3*l**5\/4 - 175*l**4\/12 - l**2 + 493*l. Find the third derivative of y(i) wrt i.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*r - 173, 2*s - s = -2*r + 78. Let k(x) = 37*x - 276. Calculate the remainder when r is divided by k(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 11*h + 3*h - 33 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6807048 + 2?\nAnswer: 6807051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4129196 or -4129200?\nAnswer: -4129200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -824 - -823.999999134. What is o rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 8 + (-8 - -11). Solve -l*r = 8, d + 5*r = -0*r - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/13 + 1078\/(6\/3). Solve -37*l - y + 3*l**2 + 543 - 4*l**2 = 0.\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 227700, 455400, 683100, 910800, 1138500, 1366200?\n\"Answer: 227700*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227 + 230. Let i(q) be the second derivative of -2\/3*q**2 + 1\/2*q**5 - b*q + 11\/36*q**4 - 5\/18*q**6 - 2\/3*q**3 + 0. Let i(z) = 0. Calculate z.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-22) + (-3176820)\/(-110). Let m = x + -14203. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 1:03 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993090 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**3 + 2*c**2 + 2. Let a(g) = 11*g**3 + 5*g**2 + 5. Suppose 53*n = 57*n - 8. Calculate n*a(z) - 5*y(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-35 - -5) - 24\/(-40))*-54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*6.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k - 4. Let u(j) = -13*j + 5. Let t(l) = 4*u(l) + 5*z(l). Let n(b) = -209*b**2. What is t(n(w))?\nAnswer: -627*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 29 + 48 - 7*j + 7*j - 8*j.\nAnswer: -j + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.9 (b) 0.8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 6 + -9 + 15 + -21. Sort k, 2, -65 in descending order.\nAnswer: 2, k, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) - (-437)\/(-138)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*f - 14 = 14, -v - 4*f + 24 = 0. Let c be (3\/(-4))\/(1\/v). Let o(j) = -2*j - 3. What is the units digit of o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6792 is divided by 3394.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 969 and 4029?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -1167.74\nAnswer: -1167.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 660\/7 or -73235?\nAnswer: -73235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-6))\/((k\/(k\/(k*k**(-1\/6)*k)*k))\/k) assuming k is positive.\nAnswer: k**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/4 - 1334*w. Let m(i) = 2*i. Let h(c) = -3*c. Let y(d) = 3*h(d) + 5*m(d). Give t(y(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*l**2 + 1560 - 21*l**2 - 274*l - 17*l**2 + 88*l - 17*l**2 = 0. What is l?\nAnswer: 10, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -8. Suppose 4*t = 2*j - 22, -3*j - t + 13 = -b*t. Factor -3 + 5*n**2 + 7 - 8*n + 0*n**j - n**3.\nAnswer: -(n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -0.1, 0.1 in ascending order.\nAnswer: -0.1, 0.1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*t + 1772 = 105*t - 3532 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7385 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: 11 * 997\nAnswer: 10967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) -4 (b) -1\/3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143468?\nAnswer: 2, 13, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1301305 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -427478 (base 9) to base 2\nAnswer: -111110001101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 4*w - 8 + 7*w**2 - 4*w. Let u(v) = 2*v**2 - 5*v - 5. Let k = -15 + 10. Determine k*x(h) + 8*u(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2783179604 + 14.\nAnswer: -2783179590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*q**2 - q**3 - 158*q**2 - 16*q**3.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223918 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408439621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h*l**5 - 2*h*l + 163*l**5 - 412*l**2 - l wrt l?\nAnswer: 240*h*l**2 + 9780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 905 - -4?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3030.7 + -3162. Let l = q + 122. Let v = 9.300037 + l. Round v to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285.967947 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 438017147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16003434 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 747820603 + 0.03?\nAnswer: 747820603.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, v: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.7? (a) 0.02 (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (8 + -9)) + (1 - -4). Suppose 0 = 9*l - 7*l. Suppose k = 4*o + 8, l = 2*o - 2*k - 3 + 13. Put o, 3, x, 0 in ascending order.\nAnswer: o, 0, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 659 - 637. Calculate the least common multiple of 66 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - y - 50. What is w(0)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78284 + 2?\nAnswer: 78286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 999*y + 10. Let z(u) = -4*u**2 - 1497*u + 14. What is -7*m(w) + 5*z(w)?\nAnswer: w**2 - 492*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + 1064\/882. Suppose -2*h = 2, -3*h + h - 10 = -4*q. Is q not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6)*-6*1. Let j(f) be the first derivative of -f**2\/2 - 5*f + 1. Calculate j(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5\/4 + 15*q**4 - 115*q**3\/4 - 60*q**2 + 135*q = 0. Calculate q.\nAnswer: -2, 0, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, z: 2, d: 2, g: 4}. What is prob of sequence gzz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4 - (-2 + 18\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - o**2 + o**2)*(-3*o + o + 4*o) + o**3 - 2*o**3 - 2*o**3 - 4*o**3 - 56*o + 56*o - 1 in the form r + p*o**3 + f*o + t*o**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1768?\nAnswer: -1768.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(75) - (sqrt(75) + 1))*3 + -1 - (-3*(sqrt(3) + sqrt(3)*-3 + sqrt(3)) + 1*sqrt(3)*-4)))**2.\nAnswer: -288*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -8, 66, 232, 520?\n\"Answer: 5*u**3 + u**2 - 26*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77806439*m**2*n**3 + 12670546*m**2*n**2 + 3*m**2*n wrt n.\nAnswer: 466838634*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 22*l - 42. Let u(f) = -f**2 - 10*f + 19. Let o(g) = 4*k(g) + 9*u(g). Give o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5 + 920*n**4 - 25096*n**3 + 86292*n**2 + 366534*n - 428652 = 0?\nAnswer: -486, -3, 1, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1140)\/(-2375))\/(2\/5)*38410\/(-1002)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1085 - 1085. Solve -3*j - 5*r - 7 = v, 7*r = 3*j + 8*r + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + f**4\/4 - 11*f**3\/6 - 8*f**2. What is the least common multiple of 7 and t(-8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/14 and ((-2)\/44)\/((-12)\/276).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 39 - 8 - 14 + 15*g - 7 - 14. Let d(p) = -15*p + 5. Give 6*d(u) + 7*j(u).\nAnswer: 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*s - 423 = 5*s, -5*o = -2*s + 705. Let a = 88 + o. Let n = 88 + a. What is the common denominator of 1\/3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzzhhddhh. What is prob of sequence dd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 0*n**4 - 121 + 2\/5*n**5 + 0*n**2 + 233\/3*n**3 + 0*n + 11\/2*n**6. Find the third derivative of a(w) wrt w.\nAnswer: 1980*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 36 = -9*g + 13*g, -g - 2*k + 9 = 0. Solve 3 = -10*f + g*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 17708*u - 5*u**3 + 17712*u + 2 + u**2 - 2 to z*u**2 + o + b*u**3 + q*u and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(7\/3)*(m**(-2\/11)\/m)\/(m\/(m\/(m**(5\/4)*m*m))))\/(m**8*m*m\/(m*m*m**(2\/7)\/m)*m)**(-33\/2) assuming m is positive.\nAnswer: m**(48003\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7509756, 1\/9, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -679569*k**3 + 710859 wrt k?\nAnswer: -2038707*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r + 1. Let s(x) = 12*x - 21*x + 4 - 44*x. Let q(w) = -9*h(w) + 2*s(w). Let g(m) = -m**2. Determine g(q(z)).\nAnswer: -121*z**2 + 22*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3007692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 24 = 12*q. Let x(s) = 5*s + 6. Let z(u) = 5*u + 5. What is q*z(i) - 5*x(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 = -6*k. Let q = 18 - k. Suppose 0 = 5*o + i - 5, 2*i + 12 = q*o - 8. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - v**2 - v**2 + (-3 + 3 - 2)*(v**2 + 4 - 4).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -869 - -0.061\nAnswer: -868.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 + 3*c**4 + 8 - 4*c**4 + 2*c - 2*c**3.\nAnswer: -(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 16*d**2 + 6*d**2 + 4*d**2 + 138 + 9*d**2 - 15*d**2 + 3*d**2.\nAnswer: 23*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 5)*(0*x - x + 0*x + (2 - 1 + 1)*(x - 4*x + 2*x)) + (-2*x + 0*x + 3*x)*(-20 + 78 + 28) in the form a*x + q and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than 1830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-6)\/4*42500\/(-153). Let y be 8\/(-2) - 0 - q\/(-50). Calculate the highest common divisor of y and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -791.96 + 810. Let i = l - 0.04. Let r = i - 17.8. Is -0.3 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4 + 4)*(-5 + 4 + 3)*(-24*u**2 + 27 - 27).\nAnswer: 96*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 5}. Give prob of picking 2 a.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from wclpwhc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 - -29.8081.\nAnswer: -202.1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4 (c) 3\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3938147175 minus -5?\nAnswer: -3938147170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 795939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 4*m, 0 = -4*v - 2*m + 281 - 291 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*((-2 + 2 - 2*p)*(-230*p + 2002 - 2002) + 0*p**2 + 4*p**2 - 5*p**2) in the form a*p**2 + u + r*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y + 11*y - 18*y + 7*y. Let s(u) = 21*u. Determine s(d(p)).\nAnswer: 84*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -291 + 305. Solve -w = 6*h + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*l + 133 = 0, -2*m + l = -0*m + 254. Let x = m - -7. Let g = -46 - x. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8731 - -8735. Solve 3*y - 9*q = -11*q + 13, -1 = -3*y + z*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*d + 5 = -128*d - 5*f, 3*d + 27*f + 26 = 22*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010735 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 55. Which is the nearest to k? (a) 5 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*v**3 + 50*v - 157*v + 51*v + 56*v - 5*v**2 + 10.\nAnswer: -466*v**3 - 5*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13 - 2477*a + 2348*a + 5 - 21 - 10 wrt a?\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*c = -c - 65, -4*t + 2*c = -100. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**2 - 5*r**2 - 7*r**2 - 619*r - 140*r + 24*r**2 to the form v*r**2 + x + q*r and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*q - 2*o, 3*q - 4*q + o = -6. Suppose q = 2*u - 9. Solve 0 = -2*n + u, 3*j = -n + 3 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12666)\/(-21110))\/((-6)\/104).\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.48965 + 0.1111. Let c = -1.61 + 1.01. Let w = c + h. Round w to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16359667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 > -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/8, 88\/7 in increasing order.\nAnswer: 3\/8, 2, 88\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, 3, 259.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(1 - (-3 - -2)). Let g = 51 + n. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11215*p**3 - 122*p**2 + 122*p**2 + 1988*p**3.\nAnswer: -9227*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-7*t + 7*t + 7*t)*(-2 - t + 2)*(38 + 93 - 46).\nAnswer: -1190*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z - 5*h = 14, 2*z - 2*h = 12. Suppose 0*f = -4*f + 3*w + 11, 2*f = z*w + 4. Solve f*y - k = 23, y = 4*y - 2*k - 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 616?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352050193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 p when three letters picked without replacement from pqzjtff.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*w - 417, v - 25 = -w + 112. Suppose 446 = n + 2*l, l - v = -n + 312. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-14 - -13) - (1 + (-27 - -2))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18844000 rounded to the nearest one hundred thousand?\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from rifffrfrfir?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.11 + 5.11. Let n = -0.2 + 0.1. What is the closest to -1 in n, 4\/3, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**1)**(2\/57)*((o**(1\/4)*o)\/o)**8)\/((o**(-3\/2)*o**(-4))\/(o**5\/(o*o**(-6)))) assuming o is positive.\nAnswer: o**(669\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 36 = -11*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*f**4\/9 + 50*f**3 - 47960*f**2\/9 + 126170*f\/3 + 10848 = 0. Calculate f.\nAnswer: -113, -1\/4, 9, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyyy when four letters picked without replacement from {g: 6, y: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 5:03 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78587633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5))**17*(u**3)**24 assuming u is positive.\nAnswer: u**(479\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**1)*t*t**(-2\/3) assuming t is positive.\nAnswer: t**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/891)\/((-1)\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -20*t + 1. Let d be o(-4). Suppose 2*m - d = -m. What is the remainder when 82 + 0 + -3 + 0 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojjj when four letters picked without replacement from {q: 2, j: 3, c: 9, o: 1, n: 4}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -2, 1\/148, 15?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89484 is divided by 286.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1087.1056*4.\nAnswer: 4348.4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*b - 101*b - 3*h = -11, 17 = b + 3*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*n**2 - 2*j**3 + 24*j**2*n**2 - 2 wrt n.\nAnswer: 2*j**3*n + 48*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3 - 4 - 1) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 3. Let i = -2 + 1.95. Let x = -0.033 + -0.067. Which is the second biggest value? (a) x (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:22 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13825*m**5 - 25237*m?\nAnswer: -276500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 22. Let s = -5 - f. Sort -3, 2\/5, 3, s in decreasing order.\nAnswer: 3, s, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.53, 36, 2\/11, -0.3 in descending order.\nAnswer: 36, 0.53, 2\/11, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598*r + 36 = -602*r. Suppose 0 = -6*q + 2*q + 4. Sort 4, 2, r, q.\nAnswer: r, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267106.1mg in grams?\nAnswer: 267.1061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4325766 and 12?\nAnswer: -51909192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -1\/120*q**5 - 3*q - 1\/3*q**3 + 0 - 1\/12*q**4 - 3\/2*q**2. Let n(a) be the first derivative of u(a). Factor n(t).\nAnswer: -(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*f + 30 = 0, 10173292*o - 10173278*o + 150 = -2*f for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*k - 18. Let j = 3 + -3.5. Sort 3, -1, j, k in descending order.\nAnswer: 3, j, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 - 7*j - 8. Calculate a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 3247.\nAnswer: -389.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-44))\/((-42)\/16). Put 0, 2.3, r in increasing order.\nAnswer: 0, r, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21262 + -21262.3. Put -0.2, -8, 37, b in increasing order.\nAnswer: -8, b, -0.2, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134259661.\nAnswer: 134259661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 1\/20*p**5 + 3*p + 4\/3*p**3 - 1\/2*p**2 - 7\/12*p**4 + 0. What is the least common multiple of t(6) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4590 and 89\/900.\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*t - 5. Suppose 0 = t*u - 5 - 7. Suppose -2*y + 2*d + 34 = 0, -2*y + u*d + 95 = 3*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 36 = 4. Let o = f - 11. Suppose -3*y - 5 = -5*t, -t - 4*t = 3*y - 35. Solve -t = o*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -3861?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000086432 to 6 dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:55 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 612 = -k. Calculate the greatest common factor of 1054 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 48 + 14*l**2 in the form o*l**2 + y + q*l and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-7))\/((-23504)\/(-3164))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*c + 70*c + 155*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 131 - 133 = -5*c. What is the nearest to 1 in -1\/40, 5, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 2*t + 1. Let i be b(5). Let z = i - 15. Let k = 8 - 7.7. Put z, -3, k in decreasing order.\nAnswer: z, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15 = -6*z. Suppose 21 = z*k - 5*l, 4*k + l - 5 = -0. Let j(w) = -4*w + 10*w**k + 4*w - w. What is j(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -7*j**6\/6 - j**5\/10 + 3*j**4 + 2*j + 29. What is the third derivative of s(v) wrt v?\nAnswer: -840*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 1, w: 1, q: 1, u: 1, x: 3, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 7*v**2 - 5*v + 18. Let t be b(-6). Solve -5*q + t*q = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(318\/(-52) - -6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 - 10*d + 7. Let m be t(6). Let f be 3*((-1)\/3 - -1). Is -2 - f\/(2\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/(-90))\/((-9)\/(-90)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -473606?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 10*f**2 - 9*f**2)*(323 + 8*f**2 + 20*f - 5*f - 325) to y*f**4 + k*f + p*f**2 + w + v*f**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -14*g**2 + 3*g. Let a(v) = -2759*v. What is a(c(x))?\nAnswer: 38626*x**2 - 8277*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 3:28 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15\/16, 2, -0.5?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -22, -44, -86, -154, -254?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 divided by -5?\nAnswer: -1054\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (2*sqrt(5)*-3 - sqrt(5)) + sqrt(20) + sqrt(180)\/(sqrt(9)*-2) + sqrt(20).\nAnswer: -4*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 32997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69 - -3197.\nAnswer: 3196.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0719 - -0.0746. Round a to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-5))\/(1198344\/10190)\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -9. Let b(s) = 0*s - 7*s + s**3 - 3*s - 5*s**2 - 2 + 11*s. Is b(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 591091511 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1, -0.2, 0.4, -2, -1852?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*o - 86 - 44 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3375*q - 188*q = -103327 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/12058545 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2949*f**5 - f**2 + 716*f.\nAnswer: 176940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 2*s**2 + 17*s\/5 + 28\/5.\nAnswer: (s - 7)*(s - 4)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 105 = -14. Is 5675\/6 + b\/42 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-121)\/4 + (-2)\/(-8). Let v = -11 - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -369\/4*z + 189\/2 + 129\/4*z**2 - 19\/4*z**3 + 1\/4*z**4.\nAnswer: (z - 7)*(z - 6)*(z - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18402 or 18395?\nAnswer: 18395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -13. Let w be o\/(-40) + (-8)\/(-64). Which is the third biggest value? (a) -3 (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbqbqbbbb. What is prob of sequence bqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 1)*9\/9. Which is smaller: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*o - 21, -763*g + 808*g - 5*o + 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -281. Let y = -240 + i. Find the common denominator of 53\/36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7600*d**3 + 7*d - 7*d.\nAnswer: -7600*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 + 2*q**3 + 11*q**2\/2 - 6*q - 1793. Give y(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*w - 595 = 0, 6*t - 620 = 3*t + w. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h - 10*h + 2*h**2. Suppose 41*n - 43*n = -6. Let i(r) = -n*r + 0*r - 5 + 5. Calculate p(i(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 d, and 1 w when four letters picked without replacement from {p: 2, w: 2, a: 2, y: 1, z: 1, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.09 + -0.09. Sort -2\/5, 1\/3, v in decreasing order.\nAnswer: v, 1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6512 and 0.02.\nAnswer: 6512.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1838 - 1821) + 1 + (-484)\/27.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 39. Let c be ((-148)\/(-6))\/(8\/v). Suppose -6*t + c = -2*t + 5*u, u - 2 = t. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138.50002904 + -138.5. What is w rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**4 - m**4 - m**4)*(-1 + 3 - 1) + 8*m**4 - 4*m**4 - 22*m**4.\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095794.\nAnswer: 2, 7, 29, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3175*g - 15884. What is p(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.217 = 475\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 1794.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:32 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1*(-512)\/(-5376))\/(2*15\/(-126))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-90)*(-3)\/(-2). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u**2 + 7*u**2 - 2 + 2*u + 8*u**2. Calculate i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 - 19*h + 19*h.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 - -4.45. Which is the nearest to -0.08? (a) -0.5 (b) 4\/7 (c) x (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11687064, 23374140, 35061216, 46748292, 58435368, 70122444?\nAnswer: 81809520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -6\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1357*f**3 + 679*f**3 + 682*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9879851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/188902?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, f: 1}. What is prob of picking 1 f and 2 h?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - 1. Suppose 0 = -3*x - 3*c + c + 4, -11 = -2*x - 3*c. Let j be (-24)\/(-9)*(-3)\/(-36). What is the nearest to -0.1 in x, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Let g be (-7)\/(21\/(-6)) + u. Solve 0 = -4*m + z - 11, 3*m = 2*m - g*z - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18 and 35\/9864.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-7 + (-4 - -9)) - (-13 - -5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.3829 to 1 dp.\nAnswer: -215.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*g - 18345*c**4 - 9*c**3*g - 3*c**3 - 2*c**2*g + 1116364*c**2 wrt c.\nAnswer: -48*c*g - 440280*c - 54*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**2 - 181494695*h - 90747350.\nAnswer: 5*(h - 18149470)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (3 + -4 - (20 - 2)). Solve -l*q - 18*q = 124 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v + 3. Suppose 1 = a + 5. List the prime factors of z(a).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1*sqrt(1331) - sqrt(1331))**2 + 4 - (sqrt(1331) + -6*sqrt(1331)*-1))*-1 + 5).\nAnswer: -308*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 8, -4*h - 4*j - 13 + 17 = 0. What is the highest common factor of 864 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 4521658\nAnswer: 904331.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 38 = -2*j + 8, 2*j = 5*c + 49 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101001101010101 + -1110?\nAnswer: -10110101001101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*b - 4*s, -11*s = -8*s + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115230.\nAnswer: 2, 3, 5, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6947 + 14619 - 6249)*(0*l**2 + 5*l**2 - 3*l**2) to the form p + i*l**2 + n*l and give i.\nAnswer: 2846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -1) + -11 - (-50)\/25.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 0*u + 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -6 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 151 + 142 = 0. Suppose -j = -2, 5*p - 2 = -4*j - 4. Sort -1, 11, p, o in ascending order.\nAnswer: p, -1, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 - 12.26. Let g = -14 - a. Let j = 0.36 - 0.06. What is the second smallest value in 2, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11529233 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3, -260, -18 in decreasing order.\nAnswer: 3, 1\/5, -18, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 14 = 4*d, 5*d + 3*h = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (466\/4)\/((-2)\/(-4)). Suppose -5*x = s + h - 27, -4*s = -x - 58. Let d = x - -72. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 1 - 1)*(2 - 2 + 2*f)*(3*f**3 - 6*f**2 + 6*f**2) as c + k*f**3 + y*f**2 + z*f**4 + w*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/3 + 5674*z**4\/3 - 5666*z**3\/3 - 17018*z**2\/3 + 5668*z\/3 + 11344\/3 = 0. What is z?\nAnswer: -1, 1, 2, 2836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 19*v - 22*v)*(4*v**2 + 18 - 18)*(66*v - 37*v - 30*v + 1).\nAnswer: 140*v**4 - 140*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23914?\nAnswer: 2, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.009, -93, -24, -6\/25.\nAnswer: -93, -24, -6\/25, -0.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {b: 4, m: 1, k: 1, l: 6, z: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-163)\/(2608\/(-192))*1*1\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3486.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1672, -3353, -5044, -6745, -8456, -10177?\nAnswer: -11908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 106.0578 seconds?\nAnswer: 0.0294605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 38. Let v = -17 - m. What are the prime factors of 6\/(-2)*v\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 4) in base 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven quarters of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v + 1)*(5*v**4 + 7*v**4 + 2*v**4 + (-1 + 2*v**2 + 1)*(0*v**2 + v**2 + 0*v**2) + (-2*v + v + 3*v)*(v**3 + 0 + 0)).\nAnswer: -36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = j + 12, 0 = -2*s - 3*s - j + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23670682?\nAnswer: 2, 7, 59, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/7 - 7208*t**3\/7 + 5478315*t**2\/7 - 16370100*t\/7 = 0.\nAnswer: 0, 3, 860, 6345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/8 - -2)*6. Suppose 2*f + p*f = 700. Suppose 0 = -5*y - 2*z + 3*z + f, z = 4*y - 112. Calculate the greatest common divisor of y and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*9\/15\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**2. Let w(z) be the first derivative of -z**5\/120 - z**3\/3 - 3. Let u(a) be the third derivative of w(a). Give u(s(x)).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 2 + 2 + 7*s + 5. Let l be n(4). Is -38*(3 - l\/6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 59*v + 178. Give l(29).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499200 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721, -722, -723, -724, -725?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.06857871?\nAnswer: -0.56857871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 29*f**4 - 1 - 2*f + 3*f**4 + 2*f + (-3*f + 6*f - f)*(-4*f**3 - 2*f**3 + 4*f**3) + (5 - 2 - 5)*(-5*f**4 + 0*f**4 + 4*f**4).\nAnswer: 30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.9713 * 0.3.\nAnswer: -13.79139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1284\/580 - (89 - 9429\/105)?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Suppose 7*u - 3*u + 32 = z. Let k(p) = 91*p**2 - 7 + 89*p**2 - 172*p**2 + p**3 - p. Give k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - -83. Suppose 2*y = 7*y - t - 201, 5*y - n = -3*t. Let f be (-55 + 56)\/(2\/4 - 0). Solve 4*k - 5*a = 45, 5*a + y = 5*k + f*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*j*q**2*x - 34*j*q*x - 20*j*x + 2*j - 577293*q**2 + 3*q*x wrt j?\nAnswer: 11*q**2*x - 34*q*x - 20*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - w**2 + (-4 + 5 - 2)*(-28*w + 28*w - 8*w**2).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*m + 86 - 103, 4*f = 2*m + 30. What is the remainder when 10 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1749 or 15742\/9?\nAnswer: 15742\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*i + 2. Suppose 2*n - 4 = -i*h, 3*h - h - 21 = -5*n. Suppose 12 = -3*q + n*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68875942*q**4 + 427317280*q wrt q?\nAnswer: -826511304*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002052579448 rounded to seven dps?\nAnswer: 0.0002053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**3 - 2*z**2 + (z**2 - z**2 - 3*z**2)*(-z - 1 + 1) - 4*z**2 + 3*z - 3*z - 2*z**3.\nAnswer: -z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**7*f))\/f*f)\/f**0*(f*f*f**(-3\/5))\/f**(-2\/3) assuming f is positive.\nAnswer: f**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -53*b - 12. Let u(v) = -12725*v. Calculate x(u(k)).\nAnswer: 674425*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence runt when four letters picked without replacement from {n: 1, u: 2, e: 1, r: 2, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 463082380 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3476 in -7\/2, 1\/4, -0.2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aszsm. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3197, -7231, -11265, -15299, -19333, -23367?\nAnswer: -27401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 45 - 9 - 83056*c.\nAnswer: -83056*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53096534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/8, 15, 2\/9 in ascending order.\nAnswer: 1\/8, 2\/9, 1\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:39 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**8\/56 - 7*c**5\/60 - 7*c**2. What is the third derivative of z(k) wrt k?\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63467404 divided by -572.\nAnswer: 110957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*9\/54 - (1 + -1). Let y = 12 + -83\/7. What is the nearest to m in y, -1\/3, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 + 0*l + 3*l**2 + 0*l.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -7\/26, 2\/5, -0.03, -2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27156 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/5 - b**4\/5 - 23*b**3\/5 - 11*b**2\/5 + 4*b + 12\/5 = 0. Calculate b.\nAnswer: -2, -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 316 - -94. Suppose b = h + 81. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5496 + 3767 = -133*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21523054067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -793917 and 162?\nAnswer: 794079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 3. Calculate h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462180 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**9\/7560 + s**8\/1120 - s**7\/420 + s**6\/360 + 5*s**4\/12 - 5*s. Let f(i) be the third derivative of u(i). Factor f(g).\nAnswer: -2*g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -655*n**3 + 4*n**2 - 8*n + 7. Let v(w) = -219*w**3 + w**2 - 2*w + 2. Determine -2*q(s) + 7*v(s).\nAnswer: -223*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 - 5*d**3\/2 - 33*d**2 + 472*d. Calculate n(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -40*10\/(-6)*96000. Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 12017.6 days?\nAnswer: 1038320640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8 + -5. Let g = -187.022 - -0.022. Let c = g - -186.9. Which is greater: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 196 = 30*a + 10*a. Let h(c) = 3*c. Let j be h(1). Solve -j*b - a = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/3 + 7*r**2\/2 - 62*r - 30. Let m be q(-14). Suppose a = 18 + m. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*i - 187, -i + g = 2*g + 39. Let h be (i + (-6 - -4))*(-4)\/10. Suppose 14 + h = 2*f. Calculate the remainder when 57 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*s + 250, 110 = 2*s - p - 3*p. Let f = 24 - 70. Let c = f + s. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 60. Let y be u(14). What is the tens digit of 8\/((-46)\/142 + y\/(-72))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29639.575+-0.5\nAnswer: -29640.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 12:02 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -62 - (-5 + -2 + 1)) + -21\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*w, -2*w + 9 = -5*w. Let i(x) = -5*x - 3*x + 1 + x. List the prime factors of i(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*v - 96*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27237, 109001, 245277, 436065, 681365?\n\"Answer: 27256*q**2 - 4*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let v(s) = s. Suppose -7*d = 4*d - 55. Suppose 2*o + 3*o = -5*q + d, 3*q - 4*o = -11. Calculate q*y(l) + 3*v(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6272.787ml?\nAnswer: 6.272787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133004?\nAnswer: 2, 41, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*z**3 + 274*z**3 - 1123*z**3 + 401*z**3.\nAnswer: -241*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 45 + 85 + -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.462017469 + -0.462. What is h rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75986 is divided by 263.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116, 947, 3198, 7577, 14792?\n\"Answer: 118*l**3 + 2*l**2 - l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, s: 1, h: 1}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d - 47. Let f be g(-10). Let n = f + -10. What is the remainder when n is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*g - 41 = 3*w, 5*w + 5*g + 15 = 0. Let i(n) = 7*n + 1. Let m(j) = 22*j + 47. Let t(s) = -3*i(s) + m(s). Is t(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/39, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/8 + w**3\/2 + 3*w**2\/2 - 2. Let k(s) be the second derivative of a(s). Give k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.59 and 1018.59.\nAnswer: -7731.0981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 169*z**4 + 1461*z**2 - 100*z - 13. Find the first derivative of b(i) wrt i.\nAnswer: 4056*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 568*s**5 - 2*s**2 + 2.\nAnswer: 34080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.270939 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (3 + -3 + 0)\/(-1). Suppose m = 3*a - 9 - 18. Let c(d) = d**3 - 10*d**2 + 8*d + 1. Calculate c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -j - 3 - 15, -3*t + 4*j = -59. Let d(z) = z**2 - 7*z - 13. Let h be d(9). Suppose -h*m + 138 = -2*m. What is the remainder when m is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*k, -p + 2*k = -5*p + 26. Suppose -32 = 5*b + 8. Let m = b + 13. Sort p, m, 3.\nAnswer: 3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121021 + 22102020122?\nAnswer: 22101122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1367, -1363, -1359, -1355, -1351, -1347?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1449 by -1.\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - j = -2, 3*j + 10 = -0*z + 5*z. Suppose -6*y - 3*o = -4*y - 189, 2*o + 194 = z*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p + 3. Let y(u) = -25*u - 5. Let r(n) = -5*h(n) - 3*y(n). Let c(f) = 3*f**2. Calculate r(c(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*k = 4 - 6, -2*x - 2*k - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:35 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1199 + 1201. Let q be ((-5)\/(-3) - 1)*3. Let a(p) = -p + 3*p**q - 2*p**b - 3*p - 6. Give a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2002470 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 4*s**4 + 0*s**4 + (-32*s**3 - 1094 + 1094)*(0 + 0 - 2*s).\nAnswer: 66*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 4, -1, -8, -17?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -17463.2?\nAnswer: -17463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 349 - 400. Let n = -195 - j. Is -144 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.54 - 4.3. Let o = -3.2399857 + w. What is o rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {a: 4, s: 4, y: 7}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -28778407866290?\nAnswer: -28778407866287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 5, b: 2, m: 2, c: 2, v: 2}. Give prob of sequence eey.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 402 - 151. Let p = 1758\/7 - h. What is the nearest to 7 in p, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -6, 5, -3915 in decreasing order.\nAnswer: 5, 1, 0, -1, -6, -3915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 807524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/59450999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/25)\/((-40)\/100).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 1. Let d(a) = 3*a - 4. Let m(s) = d(s) + n(s). Suppose -5 = -5*h - 0. Suppose 0 = 3*u + 8 + h. Calculate m(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e22 - -2584d?\nAnswer: 24a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 544, 784, 988, 1144?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r - 3*r**2 + (-234 + 234 + 366*r**2)*(3 - 6 + 1) - 4*r**2 + 2*r**2 + 3*r**2 + (2*r - 3 + 3)*(-2*r + 4*r - 4*r).\nAnswer: -738*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4994?\nAnswer: 3\/4994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 4. Let h(m) = -2*m**2 + 10*m - 61. Let r be h(12). Let o = r - -231. Solve -o*w = 2 + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from mqziqgqiig?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 3*u - 2*u)*(-2*u + 26*u - 5*u) + 3*u**2 + 2*u**2 - 4*u**2 - u**2 - 4*u**2 + 4*u**2 to k*u + j + g*u**2 and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 31984*i\/3 + 917491\/2.\nAnswer: -(i - 43)*(i + 64011)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, q: 1, u: 2, b: 4, h: 2}. Give prob of sequence kbuq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 - p + 84*p**2 - 39*p**2 - 44*p**2. Let o(n) = n - 2. Let a be o(5). Determine g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -8, 2, 2\/10373, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3931 divided by 6840\nAnswer: -3931\/6840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*l + 20*l + 7*l**2 + (1 - 2 + 3)*(4*l**2 - 3*l**2 - 3*l**2) + (-2*l**2 - l**2 + l**2)*(-2 + 4 + 0).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012763 rounded to seven dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, 46, 283, 612, 1033?\n\"Answer: 46*x**2 + 7*x - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 + 0.02. Let y = -0.354 + 0.054. Which is the third smallest value? (a) 1 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*i**3 - 4552*b**3*i - 6*b**3 + b**2*i**2 - 4*b**2 - 2*b*i**3 + 1932*b - 43 wrt b?\nAnswer: -18*i**3 - 27312*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(27\/(-2))*24\/64?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 10*c**2 + 0 + 1\/30*c**5 + 1\/2*c**3 + 13\/24*c**4 + 0*c. What is the smallest common multiple of j(-7) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 20941725*m**2 + 109638930081312*m + 328916978719488.\nAnswer: (m - 10470864)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.05545.\nAnswer: -0.02218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = w - 1, 5*f = -w + f. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + f**3 + 4*f**3)*(-4 - 4 + 4)*(-3*f**2 - f**2 + 3*f**2).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(sqrt(57) - -5*sqrt(228)\/sqrt(4))\/((sqrt(27)\/sqrt(3))\/sqrt(3)) + 0 + -1)**2 + 0.\nAnswer: 108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2455*j - 31. Suppose -4*i + 24 = 2*o - 4, -2*i + 3*o = -6. Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 294280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 154956.6ml?\nAnswer: 154.9566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + 0 + sqrt(2))*-1 - 5*(sqrt(2) - -1*sqrt(2))**2) + sqrt(4)\/sqrt(98) + 1)*-4*-6.\nAnswer: -936 - 312*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46287008, 92574011, 138861016, 185148023, 231435032?\n\"Answer: f**2 + 46287000*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 102. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*v**3 + 10 + 16*v**3 + 4)*(-2*v - 2 + 3*v + 10*v).\nAnswer: 11*v**4 - 2*v**3 + 154*v - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 49836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1105 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1849 - -1854. Which is smaller: -126 or f?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 18 - z + 19.\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 (base 10) in base 7?\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/19719 and 113\/42.\nAnswer: 39438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 3*p**2 - p - 3. Let h be (-6)\/(-6) - -1*7. Let b = h - 11. Calculate s(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y**4 - 319208*y**3 - 212800*y**2 = 0. What is y?\nAnswer: -26600, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 1 = 100*k - 99*k, 0 = -5*x - 3*k - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2561 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 21 = 5*g, -46*g = -44*g + 5*s - 3. Solve -g*r = -q + 10, -r + 5*q = 6*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q - 55. Let s be t(8). Suppose 1 = v, n = -3*v - 22 - s. Let w be n\/39 + 2\/3. Solve 20 = -4*u - w*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 8 = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -377 - -377. Suppose -2*h + 4*b + 16 = m, -2*h + 2*b + 9 = 1. Solve p - 2*p - 3 = h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/25*0 + 0. Suppose g = 2*j - 19 - 23, b = -2*g. Let n(d) = -j*d - 14 + 21 - 6. What is n(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:06 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let f = 9 - 2. Suppose a = -3*m + x + f, -m - 2*x - 1 = x. Solve b + 5 = -m*k, -2*k - b - 17 = 4*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 - 12366*z**2 - 18*z + 111294 = 0.\nAnswer: -3, 3, 6183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4127355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 3*z)*(4150*z - 2 + 314*z - 3 + 906*z + 817*z).\nAnswer: -12374*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119.85 * -0.3.\nAnswer: -35.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d - 30. Let f be c(-5). Solve -f*k + 2*v - 7 = -2*k, -4*k = -2*v + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287593 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:30 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -39. Let m = 9 + -8. Let c = 7 + m. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34762 bigger than 1494726\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.37*-0.3.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 602630610 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {d: 2, f: 4, l: 8}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3265840 is divided by 272148.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/10 + -39\/5. Which is the closest to 0.1? (a) v (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -54, -85, -128?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54650 (base 7) to base 15\nAnswer: 40db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 17*t**2 + 32*t + 4. Suppose 3*d + 5*k = 12, 0 = -3*d - k - 0*k + 12. Calculate the remainder when f(15) is divided by 20 - d\/2 - 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 12:12 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -111. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 25*c + 1 to the form w*c + s and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 795 and 253711?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*p - 0*p. Calculate the highest common divisor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-2)\/(-1))\/2. Solve -3 - 12*d**2 + z*d - 3*d - 2*d - 10*d = 0 for d.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**3\/2 - c**2\/2 + 9*c. Let a be w(2). Let j be (-20)\/(-14) + 10\/105*6. Put j, a, 0, -2 in descending order.\nAnswer: j, 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -218, -214, -210, -206?\n\"Answer: 4*u - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -34. Suppose 0 = n + 4*p - 58, b*n + 4*p = 2*n - 176. What is the greatest common divisor of n and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -18, 0.08, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + -4*(-3*sqrt(66) - sqrt(66)))\/(-5*-1*sqrt(6)) - (sqrt(77) + (2*sqrt(77) + sqrt(77))*3)\/(sqrt(7)*2*3))*-4.\nAnswer: -104*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3156340661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.29, -5.08, -5 in descending order.\nAnswer: 14, 0.29, -5, -5.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12 - 897\/(-414). Solve -4 = 2*a - 2*o, 3*a - u*o + 8 - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(((a**(1\/5)*a*a)\/a)\/a))\/(a*a**(-3\/16)\/a))**(-47))**(-9))**(-28) assuming a is positive.\nAnswer: a**(-233919\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49306999 is divided by 4482452.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42455)\/(-33600))\/((-4)\/(-10)). Let c = -31\/128 + s. Calculate the common denominator of 1\/(-36)*278*-1 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1182\/2955*5*1\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 1, v: 3, n: 1, j: 3, a: 3}. What is prob of sequence vrvr?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/3867, 5, -4, -1157, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.2925 + -24.16. Round d to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - k - 25*k to c*k + l and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 + 12*a**2 + 5. Let i(c) = -7*c**3 + 3 - 11*c**2 - 55 + 38 + 8. Give 5*i(b) + 6*v(b).\nAnswer: b**3 + 17*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let u(s) be the third derivative of 5*s**4\/24 - 2*s**3\/3 - 21*s**2. What is y(u(j))?\nAnswer: 50*j**2 - 80*j + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-14)\/6 - 363\/99?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -23337*t - 116652. Determine j(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 8*z - 9. Let g be p(-6). Let n = g + -202. Solve n*u - 15 = 14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62674 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-15)\/5))\/((-15)\/(-9))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 26 = -p - 3, -4*x + 2*p - 22 = 0. Let k be (-3)\/(-2)*(-14)\/3. Let u = x - k. Solve -4*q + u*r + 13 = q, 2*q - 4*r = -6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 211. Let v be (-22)\/(-132) + q\/12. Solve 5*n - 5*f - 33 = 12, 0 = -3*n + f + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 349447181.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 341, -2\/9, 0.1, 0.148, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, 1\/4 in descending order.\nAnswer: 33, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48074 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570, 563, 552, 537?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 78. What is u(0)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 2) in base 14?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -962408 less than or equal to -962406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/5 + 102094*f**4\/5 + 714564*f**3\/5 + 204104*f**2\/5 - 2858288*f\/5 - 489984 = 0. What is f?\nAnswer: -51040, -6, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otgttrtr. What is prob of sequence go?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 8*a - 3. Let t be w(-6). Let z be -50*3\/t*-10800. Round z to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -35, 2, -3, -2\/19 in ascending order.\nAnswer: -35, -3, -0.2, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124*u = -1138*u - 266, -4*v + 49 = -3*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence app when three letters picked without replacement from paqqkokvp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 7*m - 10. Let l = 59 - 27. Let g = -29 + l. Suppose g*i = -1 - 23. Calculate o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563407?\nAnswer: 3, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12874 less than 12874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110100001011101 (base 2) to base 13.\nAnswer: -22616c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**13)\/f*f*f*f)**(-9\/5)*(f**15)**(11\/2) assuming f is positive.\nAnswer: f**(987\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38577088 to the nearest integer?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -250037, -250036, -250035, -250034?\n\"Answer: t - 250038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1544180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128.274 + -0.274. Let c = -128.2 + p. What is the smallest value in c, -1\/2, 22\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 + 581. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*d**3 - 153*d**2 + 134*d**2 - 11*d**3 wrt d.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/8 + (-15)\/(-30). Let f(n) = n**2 + 1. Let j be f(-1). Let q = r - j. What is the closest to q in 6, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -26.\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 21675132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 70*m + 991. Calculate l(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4*w**3 + 3*q**4*w**2 + 162*q**3 - 2559*q**2*w**2 - 4*q*w**3 wrt q.\nAnswer: 48*q*w**3 + 72*q*w**2 + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/54358920 and 26\/777.\nAnswer: 54358920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-8 + (-3)\/(-1)). Let w be ((-6)\/17)\/((-22)\/(-165)). Let s = -139\/136 - w. Is s at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 11 = y, 98*x - 9 = y + 100*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58\/7? (a) -5 (b) 2\/15 (c) 38 (d) -1 (e) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15. Let f(m) be the first derivative of -4\/3*m + t - 10\/9*m**3 + 7\/3*m**2. What is q in f(q) = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 38. What is l(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1160 and 109040?\nAnswer: 109040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706 - 2*f**2 - 706 - 1910 - 1462.\nAnswer: -2*f**2 - 3372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -509*h**2 - 187*h**3 + 253*h**2 + 255*h**2 - h**4 as p*h**4 + j + c*h**3 + u*h**2 + f*h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6989 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15291*x. Let f(g) = g. Calculate m(f(p)).\nAnswer: 15291*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.91*-376.\nAnswer: 4478.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -814*p - 618*p + 305*p - 533*p - 401*p in the form i + t*p and give t.\nAnswer: -2061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*x**3*z**3 + 5*x**3 - 2*x*z**4 + 135 with respect to z.\nAnswer: 24*x**3*z**2 - 8*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1)*(-42)\/9. Let k(i) = -2*i + 32. Let o be k(f). Let z(t) = 6*t**3. Let g(u) = 5*u**3. Determine o*z(c) - 5*g(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 9) to base 12\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32593089173 + 32593113641.3600045. Let l = -24467.66 + k. Let r = l - 0.7. Round r to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 k when three letters picked without replacement from zpkkfqffqfcpqqcpqcqc?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfq when three letters picked without replacement from cgqeppf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 - 25*s**2 + 9*s - 12. Let q(c) = -5*c**3 + 12*c**2 - 4*c + 6. Let f(b) = 4*i(b) + 9*q(b). Suppose 7*a + 23 - 79 = 0. Give f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 1.8018. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21205819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21769 - -20)\/(1\/4 - 3\/(-6))?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 197?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 17*a**4 - 399*a**3 - 10829*a**2 - 72670*a - 105456.\nAnswer: (a - 24)*(a + 2)*(a + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1312331120212?\nAnswer: 1312331120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.530283 rounded to one decimal place?\nAnswer: 795.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238437 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 645594289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2015 = 2*f - 2*y, 8076 = 4*f - 4*y. Let g = 3800 - f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - n**4 - 12189*n**3 - 5*n**4 + 2 + 12189*n**3 + 9*n in the form p + a*n**4 + m*n + t*n**2 + w*n**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2014*w - 11008 = -2072*w + 6289*w - 2075*w for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3243 + 3242.99024. Round l to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 359 + 94 = 179 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266327 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6914 - -6914.4. Which is the fifth biggest value? (a) -5 (b) f (c) 5 (d) 10 (e) -79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -14*w**3 - 4*w. Let u(a) = 0*a**2 + 13*a**3 - 11*a - 19*a + 33*a + 0*a**2. Determine 3*t(r) + 4*u(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -932310 by -81.\nAnswer: 11510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/21120 and -71\/40141200.\nAnswer: 321129600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 3*i + 1 - 6*i)*(5 - 5 + 1)*(-2055 + 2047 - 28*i - 44*i) as h + z*i**2 + n*i and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 30, 109, 262, 513?\n\"Answer: 4*j**3 + j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + b944?\nAnswer: b946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3865214 rounded to 3 dps?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y - 119 = -40*y. Solve -5*r = -k - 9, 6*r - y = r + 3*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(7\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 86774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8276\/5)\/((-100)\/(-250))?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 65175?\nAnswer: 912450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 1\/36*m**4 + 1\/45*m**6 + 0*m**2 - 1\/9*m**3 + 1\/12*m**5 + 0 - m. Factor i(w).\nAnswer: w*(w + 1)*(w + 2)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/147, -0.032, -3, -1\/4 in decreasing order.\nAnswer: 0.3, -1\/147, -0.032, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**6\/30 - 61*i**5\/10 + 773*i**2\/2 - 2*i - 37. Differentiate w(l) wrt l.\nAnswer: 4*l**3 - 366*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18644 = 5*a - 18705, -a - 19 = 2*b. Suppose g - 4*g + 15 = 0. Let c = -5 - -12. Solve 5*w - 18 = 5*t + c, -a*t - 15 = g*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196886351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55142 is divided by 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024849.\nAnswer: 3, 67, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (740\/80 - 9)*(-172)\/(-2193).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 16, -4, -2 in increasing order.\nAnswer: -100, -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t + 236 = 0. Let b = 520 + t. Suppose b = 2*v - 104. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 927840 and 318945.\nAnswer: 10206240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 159, 542 in ascending order.\nAnswer: 3, 159, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -2. Suppose -80 = -20*f + 4 + 16. Put -3, f, l, -4 in decreasing order.\nAnswer: f, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -130*q + 290. Does 96 divide n(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/6 + (-80)\/(-960) - 181\/(-252). What is the nearest to -1 in -0.4, s, -2\/7, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-31)*v**(-4)*v**(15\/7)*v*(v\/(v*v**20))\/v assuming v is positive.\nAnswer: v**(-370\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -39. What is the derivative of -23*f**3 - 5*f**2 + 5*f**q + 3247 - 3202 wrt f?\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6349 - 6280. What is the remainder when 146 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, m: 6, f: 1, u: 3}. What is prob of sequence jm?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(102) + sqrt(102)*-2) + sqrt(102)))\/(-3*(sqrt(6) - (sqrt(6) - 3*sqrt(6)*-3))) + 0.\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*30\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 7404?\nAnswer: 7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -4.3.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1302599*t**4 - 2*t + 28516.\nAnswer: 15631188*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1866 + 7639. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 293219347.86559\nAnswer: -293219352.86559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460377617, 460377618, 460377619, 460377620, 460377621, 460377622?\nAnswer: 460377623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 376*l - 470. Let h(x) = -x + 1. Determine -470*h(m) - u(m).\nAnswer: 94*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*b + 182, 2*f - 21*b - 76 = -25*b. Suppose -36*z = -f*z + 64. Solve s = 2*x - 3, -4*x - 5*s - 9 + z = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-35) + 72\/14. Suppose 0*k = x*k. Factor -1\/3 + 0*d + k*d**3 + 2\/3*d**2 - 1\/3*d**4.\nAnswer: -(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194161 and 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1991223\/70 at most -28445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 12:29 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**2 - 76*u**2 + 19*u**2 + 12*u**2 + 22*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 5337. Let z(d) = -3*d. What is c(z(s))?\nAnswer: 9*s - 5337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -48. Suppose g - 19 + 16 = w. Solve -g*u - 5 = -p, 3*u - 2*u - 5*p + 25 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (22 - 65) - 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaahh. What is prob of picking 1 a and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(sqrt(729) + -2*sqrt(729))\/((sqrt(3) + sqrt(27) - sqrt(3))*3).\nAnswer: -5*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9078145 minutes to milliseconds.\nAnswer: 54468.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uullanafnonaalouuola. Give prob of sequence llaf.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-6))\/(108\/(-396))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*g**3 - 357*g**3 + 693*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 2*b = -324. Let l = b - 18. Suppose -6 = 2*k - 36. Calculate the remainder when k is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + -205073?\nAnswer: -205053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090377 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f**3 - 154*f**2 - f + 42. Calculate w(8).\nAnswer: 2466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*g - 0*g - 162, 2*g = -2*v + 60. Solve -b + g = 7*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 + 2 + 9 + -6 + -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h + 211 + 61 = 792 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 45.2599, 3, -3 in decreasing order.\nAnswer: 45.2599, 3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-1)\/h))\/h**(-1\/9)*h**(2\/3)\/h*h*h\/(h**1*h) assuming h is positive.\nAnswer: h**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 661*b**3 - 661*b**2 + 1322*b + 661. Let l(t) = t**2 - 2*t - 1. What is d(r) + 661*l(r)?\nAnswer: 661*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1845, 1829, 1813?\n\"Answer: -16*q + 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -81. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -32*i - 46. Let k be w(-5). Let g = k - 110. Solve 3*v - g = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*-2*3 + ((-2*sqrt(1377))**2 - sqrt(1377))*-4.\nAnswer: -22032 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/412546776 and 83\/12.\nAnswer: 412546776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109930268?\nAnswer: 2, 3, 92494189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14. Suppose -c + 9*c + 48 = i. What are the prime factors of (-40)\/c - (-1)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-15))\/(6\/81030*7). Let o = 772 + r. Which is the third smallest value? (a) o (b) -6\/5 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 46098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3540000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l. Solve -5*d - 15 = -o, o - 3 - 2 = l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 150 = -5*w, k + 2*w - 46 = -3*w. Suppose 2*i - 18 = -3*n, 0*i - 4*i = n - k. Suppose 50 = i*s - s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (6 - (-2 + -4)) - (57 - -3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9818 = -2*n - i - 9816, 45 = 3*n - 9*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 * 259.\nAnswer: 25123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 + 24629840*g\/7 - 151657254606400\/7.\nAnswer: -(g - 12314920)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 1, -24 in decreasing order.\nAnswer: 4, 2, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:06 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2033)\/(-38)*(-2)\/(-1) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) -3.3 (c) -8\/151 (d) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/17))**9\/(s**(-6\/7)*s*s**(-27)) assuming s is positive.\nAnswer: s**(3322\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 26*f + 41*f - 679272. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let j(l) be the first derivative of -88*l**3 + 202. Determine j(z(a)).\nAnswer: -1056*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4387*r + 4 + 1 - 3 - 4107*r + 14*r**5 - 113*r**5 wrt r?\nAnswer: -1980*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 24, 7, -28, -87, -176?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 975 and 1373710?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/84*-7*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/100 + p**4\/10 - 3*p**3\/10 + 8*p**2. Factor h(k).\nAnswer: -3*(k - 3)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*w**2 - 3*w**2 + 55*w - 53*w - 7*w**2 in the form o*w + v + i*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3447*m = -3434*m - 39. Factor 0 + 2\/5*g**2 + 4\/15*g**m + 2\/15*g.\nAnswer: 2*g*(g + 1)*(2*g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-15)\/6)*-6. Solve 0 = 3*i - 5*c + 3 + 7, 0 = -h*i + 3*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2789 - 2882. Let p be (6 - -56)*(-3)\/2. Is k not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x - 1. Let j = -5 + 2. Let m(b) = -11*b + 1. Let h(s) = j*m(s) - 4*y(s). What is h(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2. Let a(s) be the third derivative of 5*s**4\/24 + 28*s**2. What is t(a(r))?\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 32. Give a(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 - 8 + 1 - 12)*(i - 3*i + 0*i).\nAnswer: 254*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-3)\/((-12)\/(-18392)) + -1. Let q = -9475 - i. What is q rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28594126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.79 + 0.79. Let h = m + 73. Let a = 60 - h. What is the nearest to -6 in -3, -2\/13, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 9*m**2 + 4*m - 12. Give y(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -12\/7, 2\/7, 0.02, 4, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 6. Let d be g(5). Let h be (-3 + 2)\/((-1)\/9). Suppose 5*u - 2*w = -w + 17, -5*u + h = 3*w. Solve u*a + a = -d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(45)\/sqrt(3))\/(5*sqrt(40)\/sqrt(8) + sqrt(5)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 0*m**2 - 9*m**2 + (3*m**2 - 2*m**2 - 2*m**2)*(3 - 7 + 3) - 3*m + 3*m - 2*m**2)*(18 - 20 + 24*m**3 + 14*m**3)*(3 - 3 + 2).\nAnswer: -608*m**5 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + 15*o**3 - 75*o**3 - 56*o**3 - 106*o**3 + 23*o**3.\nAnswer: -207*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let y be v(0). Solve -2*c - y = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 67. What is the lowest common multiple of -10*(-2 + 2*4\/s) and 93?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92742 by 2.\nAnswer: -46371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let b = 1 - u. Factor 1 + 3 - 2 + 4*z + b*z**2.\nAnswer: 2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y + 1. Let j be t(4). Suppose -g - 29 = -4*o, 6 = o + 2*g + j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 6. Calculate the smallest common multiple of 18 and p(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 169?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from waawwaaaaaa.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-52)*-1 - 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ccccnnccccccc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 + 0*d + 1\/10*d**5 - 1\/2*d**3 - 5\/24*d**4 + d**2 + 1\/120*d**6. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 388876, 388868, 388822, 388720, 388544, 388276, 387898?\n\"Answer: -3*j**3 - j**2 + 16*j + 388864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4*d**2 + 1 - 1 + 0*d. Let j be m(1). What is the greatest common factor of 45 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(35\/(-10))\/7*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 427 - 389. Let c = -52 - -74. Calculate the lowest common multiple of b and c.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77184 and 22392?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:04 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x + 29. Let b(d) = d. Let c(v) = 6*b(v) - k(v). Let q be c(-16). Suppose -q*w + 29 = 11. Calculate the greatest common factor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67539675.\nAnswer: 3, 5, 7, 103, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m + 27*m + 310506 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1229259 decades to centuries.\nAnswer: 0.01229259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0*y**3 - 3*y**2 - 1\/24*y**4 + 0 + 0*y. Let j(a) = 3*a. Calculate s(j(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 16) to base 4\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/35))**(-6)*(w\/(w**23\/w))\/(w\/(w\/((w**18\/w)\/w))*w) assuming w is positive.\nAnswer: w**(-1318\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 850 = 134 - 126 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -43*a**3 + 260*a**2 - 168*a + 941. What is t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (7 + -17 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*a = -44, 7*p - a - 31 = 93 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -303+509\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8408 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8633 - 8639. What is the nearest to -0.1 in 0.3, 8\/3, b, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/7833 + 23509\/39165. Sort -2\/9, k, -2, -14 in ascending order.\nAnswer: -14, -2, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-63) - 20\/(-210)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3421250 (base 8) to base 12\nAnswer: 388120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 - 104*k\/9 + 21976\/9.\nAnswer: -2*(k - 82)*(k + 134)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:13 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*3\/12*-7. Let y(n) = 8 + 4*n + 9 - 6*n**2 - n**3 - 24. Is y(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2975846.354 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1599.27 + -1509.5. Let l = 2947 - 3037. Let c = g + l. Do c and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 times -0.1\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556880, 2227382, 5011542, 8909354, 13920812, 20045910, 27284642?\nAnswer: 35637002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**5 + 928*g**4 + 8880*g**3 = 0?\nAnswer: -222, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/44919 and -37\/5859?\nAnswer: 134757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3942 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/11 and 46\/91?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:24 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 42*c + 0 + 2 - 1 + 6. Is v(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 3. Let m = -19 + 35. Let t be (30\/(-40))\/(2\/m). Let y be (-30)\/(-40) - t\/(-8). Give d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.139, -4, 0.3, 6\/13, 0.4, 6 in descending order.\nAnswer: 6, 6\/13, 0.4, 0.3, 0.139, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -40. Let n be z\/(-7) + (-12)\/42. Suppose 4*x = 2*x - v - 76, 2*x - n*v + 64 = 0. Calculate the common denominator of x and 19\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 554825936 by -138706484.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*m - s, 105 = m + 4*m + 5*s. Suppose -p - 5*q + m = 0, -2*p + 27 = 2*p + 5*q. What is the units digit of 0 - (p + -1) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w + 46*w - 16*w - 17*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let k be (4\/(-8))\/(s\/(-80)). Solve 2*h - 7*h + k = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -76*n + 126. Let u be v(7). Let m = u - -424. Solve 5*p + 3*t = -t + m, 5*p - 14 = -2*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, -6, -4, 5, 4 in decreasing order.\nAnswer: 5, 4, -4, -6, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 28*g + 47. Let z be o(-22). Let n = z - -289. Which is bigger: n or -106\/7?\nAnswer: -106\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12604*t**4 + 13676*t**2.\nAnswer: -302496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*c**2 + 172 wrt c.\nAnswer: 140*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-120)\/8 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 79 = -44. Calculate the highest common divisor of 7 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016754 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:19 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 221 + 2338?\nAnswer: 2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 6. Let x be (-6)\/(-3 - (-6)\/4). Let t(i) = -i**2 + 3*i + 4. Let d be t(x). Calculate g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) 3 (c) -0.3 (d) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**2 - 1 + 14*g + 9*g**2 - 4 + 3 to the form o*g + d*g**2 + u and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 2*i**2 - 4*i**2 + 1 - 1 - 2*i**2 + (-3 + 3 - 2)*(-3*i**2 - 3*i**2 + 4*i**2) + 3*i**2 - 5*i**2 + 4*i**2 + (1 + i - 1)*(69*i - 27*i + 17*i).\nAnswer: 61*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153574 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 at most 0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 36.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15525887 = 137*a - 26940962. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*a, 4*y = -0*y - 5*a + 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641154033 divided by 213718011?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 238*l + 6536.\nAnswer: 2*(l - 76)*(l - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -202b84?\nAnswer: -202b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 3*k + 2*k + 2, 4*a = -4*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1657 + 3887 = 7*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v**2 - v + 4. Let t be 3*3\/((-18)\/8). Let l(y) = 57*y**2 - 3*y + 11. Let d(u) = t*l(u) + 11*x(u). What is the second derivative of d(b) wrt b?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8640 is divided by 459?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-65)\/(-20))*-20. What is the highest common divisor of 275 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*c = 159*c - 9. Solve -c*j = -2*o + j + 10, 2*o - j - 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**3*i**2 - c**3*i*y + 913*c**3*i + c**3*y + 70*c*i**2*y + c*i**2 - i**2*y - i*y wrt i?\nAnswer: -12*c**3 + 140*c*y + 2*c - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbubttttbtbtbb. Give prob of picking 3 b and 1 t.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/8 + 45\/60 - 11. Let p be 4*(4 - n\/(-3)). Solve 5*m + 21 = -p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15\/(b\/((b**14\/b)\/b*b))*((b\/b**5)\/b)\/b*b**(-11))**38 assuming b is positive.\nAnswer: b**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 16*n = 21*n + 490. Calculate the remainder when 249 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11306981123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 6 + 48 = 0. Is q not equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -10. Suppose -2*w - p*w = 0. Let m be 1 - (-2 - (-2 - w)). Solve q = -n - m, -2*q + 3 = 3*n - 5*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 20. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g**2 - 7*g + 16. Calculate u(-5).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/261240 and 29\/10.\nAnswer: 261240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -46*p - 11\/6*p**4 + 1\/2*p**2 + 0 - 1\/3*p**3. Calculate w(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*w = -w - 41*w + 1340320. List the prime factors of w.\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + 122221210210110?\nAnswer: 122221210202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 + 3*n - 5. Let k(b) = -4*b. Let x(i) = i - 2. Let j be x(1). Let v be k(j). Suppose -3*f - v = 8. What is r(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245 + 239. Sort t, 6, 2 in ascending order.\nAnswer: t, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60372486 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 29*h**3 - 9*h**2 + 88*h - 1823. Is c(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 2. Let d be l(-6). Let t be (-4)\/(-16) - 86\/d. Let q = 444 + -442. Sort -1, t, q in decreasing order.\nAnswer: t, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*s**3*u**2*z - 2260*s**3*u*z**3 + 2*s**3*u + 11*s**2*u**2*z**3 - 2*s*z**2 - 360*u*z**2 wrt z.\nAnswer: -13560*s**3*u + 66*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 1 + 1 - 8*u + u. Determine f(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057) + -1 - sqrt(2057)) + sqrt(2057) + sqrt(2057) + -4 + 4)**2.\nAnswer: -44*sqrt(17) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1974)\/376*(-1)\/(-6)*-4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 156*i - 47*i.\nAnswer: -203*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 13*l - 3. Suppose -11 = -5*w - 36. Let c(s) = s**2 - 25*s - 5. Let x(b) = w*d(b) + 3*c(b). Factor x(r).\nAnswer: -2*r*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 21*t**3 - 2*t**2 - 2*t + 2. Let d(o) = 230*o**3 - 23*o**2 - 23*o + 23. Give -2*d(k) + 23*l(k).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 = 1471*f - 1378*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33345 divided by -95?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 8*s - 37. What is the remainder when 1 - (4 + s + -28) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 (base 9) in base 6?\nAnswer: -1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 9. Let x(d) = -16*d**2 + 17 - 16 - 2*d**3 + 18*d + 0*d**3 + 3*d**3. Let n be x(15). Suppose n - 10 = -6*i. What is a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-760) - 945\/(-50)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y + y - 2*y)*(-12*y**4 + 4*y**4 + 13*y**4).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/159 - 143\/318. What is the nearest to y in -2\/635, 4\/9, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**2 + 4*q. Let l(y) = -65*y. Calculate c(l(b)).\nAnswer: 63375*b**2 - 260*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.7964 years in millennia?\nAnswer: 0.2127964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 88 = 4*j, 4*h + 3*j - 166 + 37 = 0. Calculate the least common multiple of h and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 22.51\nAnswer: -112.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l*l*l\/l**1)))**(-8\/3)*l**(4\/9)*l**(4\/3))\/(l**(-1\/2)\/(l**4\/l)*l**0\/l*l**(-1\/2)) assuming l is positive.\nAnswer: l**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svspkzszssz. Give prob of picking 1 z, 1 k, and 2 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose w = 4*w - 36. Let g = w + m. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2718*c**2. Let u(w) = 8*w - 111. Let i(z) = 67*z - 925. Let h(t) = 6*i(t) - 50*u(t). Determine q(h(n)).\nAnswer: 10872*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19744 - 19671. Solve 69*m - x*m = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**4 + 81263*t + 1987767 wrt t?\nAnswer: 8*t**3 + 81263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3)\/(80\/(-28)*(-34)\/170)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -113489, -113492, -113495, -113498?\n\"Answer: -3*d - 113486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96846278413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64165 - -45924.\nAnswer: -18241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -74.6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 5:17 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1087 divide 143810602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -227.162.\nAnswer: -68.1486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (65\/15)\/((-3)\/81). Let n be ((-10)\/15)\/(6\/l). Let s(v) = -2*v**3 - 6*v - 6. Let j(f) = 5*f**3 + 13*f + 13. What is n*s(b) + 6*j(b)?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 + 179. Suppose 5*u + 2*o + 465 = 0, -5*u - 6*o - y = -2*o. Let a be ((-4)\/(-7))\/(26\/u). Let z(x) = -5*x - 3. Determine z(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 125910, 252168, 378426, 504684, 630942, 757200?\n\"Answer: 126258*o - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340486 is divided by 4869?\nAnswer: 4525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2017\/35175 + -1\/5025. Is -1\/15 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 5, 11, 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263 + 264. Which is the nearest to g? (a) 2 (b) 1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134713 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 18. Let y = 24 + -19. Suppose 2*v - 10 = 5*f + 14, -4*v + 108 = y*f. Calculate the highest common factor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4964 and 4818?\nAnswer: 163812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12*b + 8. Let v = -16600 - -16609. Give u(v).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 p when three letters picked without replacement from {e: 1, x: 2, p: 4, u: 1, o: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1354032 and 432.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (11 - 4) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)*(q\/(q*q**(-7)\/q))\/q*(q\/q**(-2\/11))**3 assuming q is positive.\nAnswer: q**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 15*o + 6. Let c(r) = 2*r + 19. Let m be c(-17). Let y be k(m). What is the derivative of 7*h - h - 6*h - y*h**2 - 4 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/20 + p**4\/12 - 5*p**3\/6 + 147*p**2 + 6*p - 1. What is n(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 6) to base 10.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/13, 3, 7\/2, 216, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 6 - (-4 + 9). Let j be 0 + ((-16)\/30)\/4. Is m bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -38?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 42*u**2 - 80*u - 13. What is m(-40)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(2)*2 + sqrt(2)).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 8*t**2 - 9*t - 14. Suppose -y - 122 = -2*y + 4*q, -2*y + 2*q + 214 = 0. What is the least common multiple of y and d(5)?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + -4.07. Let v be (21\/33 - 1)\/(-2). Which is the nearest to 3? (a) p (b) v (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187033.\nAnswer: 47, 131639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:36 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 135 + -67 - 153?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 4*s + 4 + 7*s. Does 19 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 8*q = 82 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 153134.1 decades?\nAnswer: 1531.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16395 and -0.4?\nAnswer: -6558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - t. Suppose 92 - 93 = z. Let x(i) = -10*i**3 + 2*i**2 - 8*i + 2. Give z*x(v) + 8*d(v).\nAnswer: 2*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffffffflffffffl. Give prob of sequence lf.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + (-18)\/(-14). Let k = -1000417\/5 - -200083. Which is the nearest to -2\/7? (a) 0.5 (b) v (c) k (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3638, -7370, -11678, -16850, -23174, -30938?\n\"Answer: -48*g**3 - 3396*g - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 6. Let g = -419 - -410. Let p(i) = -5*i**2 - 2. Let v(k) = 23*k**2 + k + 8. Let t(u) = g*p(u) - 2*v(u). Calculate t(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -440697, -440679, -440661, -440643, -440625?\n\"Answer: 18*d - 440715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 43198620861?\nAnswer: -43198620860.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5115695 and -3.\nAnswer: -15347085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1015*x**2 + 6*x - 30. Let v(r) = r**2 - r + 9. Calculate b(z) + 4*v(z).\nAnswer: 1019*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*y - 13 = 0, 510*j - 506*j - y - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30314\/1977*(-15)\/28 + 8 + 0?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(136))\/(sqrt(24)\/(sqrt(12) - sqrt(3))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -8, 16\/9, -0.5, -4, 3.\nAnswer: -8, -4, -0.5, 2\/9, 16\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -24 + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -69125 (base 10) to base 6\nAnswer: -1252005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*m**2 + 1015*m**2 + 75*m**3 - 350*m**3 - 2033*m**2.\nAnswer: -275*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156552 by -3.\nAnswer: 52184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 454146 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**3\/2 + 5*g**2 + g. Let c(s) = -3*s - 9. Let v(o) = 5*c(o) + 4*q(o). Let f be v(-2). Solve f - 5 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 10*m**2 + 2*m - 4. Let v be u(10). Suppose -2*j = 4*l - 784, -12*l = -3*j - 16*l + 1184. Calculate the highest common divisor of v and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139558513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001602513074 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(4950\/27))\/(-5 + (-115)\/(-20))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4351068 (base 9) in base 15?\nAnswer: 312472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbjhmmfmjmqjmhbbm. Give prob of picking 1 b, 1 j, and 1 q.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/525 + 2*h**6\/75 + 66*h**2. Determine f, given that d(f) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -9. Let h be ((-32)\/280)\/(2\/5). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3053465 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 10, 19*j - 654 = -3*d + 16*j. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10941 = 13*w + 10499 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 - -157. Solve 0 = 3*n - q*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2157475279?\nAnswer: 23, 93803273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -24*(-12)\/9 + -1. Let y(q) = q - 31 + h. Let i(t) = 2*t**3 + 3*t - 2. What is -i(m) + 3*y(m)?\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2913 and -23\/30927.\nAnswer: 30030117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 4*t + 5. Let p be l(-4). Suppose -p*m = -0*m - 35. Let d be 2 + -29*m - -1. What is d rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l. Let q be -17*2*4\/(-8). Calculate the remainder when q\/34 - (-103)\/2 is divided by t(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -29) + (37 - 93)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(1\/19))\/(u**(-6)\/u))\/(((u**(2\/7)\/u)\/u)\/u)**9)**(-19\/3) assuming u is positive.\nAnswer: u**(-4453\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 60*b**2 - 4*b - 5. Let f be p(-1). Let x = f + -55. Calculate the least common multiple of 15 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6668877826.\nAnswer: 2, 13, 43, 61, 97787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -223\/955963 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.2, 2, -0.1184?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192326 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w - 5*c + 85, 0 = 2*w - 2*c + 44. Let t = -49 - w. Let d = t - -34. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - b**2 - 3*b)*(-641*b + 511*b - 302*b) to the form m + k*b + y*b**3 + g*b**2 and give y.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -62, -3, -0.4 in increasing order.\nAnswer: -62, -11, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(-3379*z + 6354*z - 3359*z) to f*z + k and give f.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 913.6772ml to litres.\nAnswer: 0.9136772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/84025583?\nAnswer: -1\/84025583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utttttut. Give prob of picking 3 t.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a + 26. What is the common denominator of 17\/10 and a\/8*10\/(-50)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130009518 rounded to the nearest 10000?\nAnswer: 130010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 2585\nAnswer: 387.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**3 - 34*q + 0*q**2 + 0 - 37\/12*q**4 - 19\/20*q**5. What is the third derivative of b(v) wrt v?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*u**3 + 177*u**3 + 99*u**3 - 500*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 11*f + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831188817 to the power of 1\/3, to the nearest integer?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w + 1. Let d(o) = -3*o. Let s(a) = 9*d(a) + 2*z(a). Let r = -8 - -1. Determine s(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 17*q**2 + 12*q - 1. Let v(x) = -2*x**3 + 26*x**2 + 18*x - 2. Let c(t) = 8*h(t) - 5*v(t). Factor c(l).\nAnswer: 2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10781 - -10783. Let v(p) = -3*p**2 + 8*p + 5. Calculate v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48393*m - 15434.\nAnswer: -48393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from geeoeyygnheygygynn?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11296613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2548 and -41\/271360.\nAnswer: 172856320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*t - 24 = 0, 10*t = -3*l - 0*t - 43 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from unxnunv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2408, -8, -22 in decreasing order.\nAnswer: -8, -22, -2408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3942 and 125\/6.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1209 = 14*y. Let r = 181 + y. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*v**3 + 159*v**3 - 150*v**3)*(-v**2 - 2*v**2 + v**2) + 3*v**5 + v**5 - 2*v**5 + 6*v**5 + 183*v**4 - 183*v**4 - 3*v**2.\nAnswer: 156*v**5 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-56))\/((23426\/2544)\/221)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*((-70)\/(-12))\/((4095\/189)\/(-13))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, b: 5, a: 3, d: 1, y: 2, i: 1}. Give prob of picking 1 y, 1 i, and 2 b.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 - 274. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 24cc4?\nAnswer: 25010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*b - 120000 = b, 0 = -4*u - 5*b - 480000. What is u rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 13 + 16*b + 0*b - 3.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43056626 is divided by 18704?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 329645, 329648, 329651, 329654?\n\"Answer: 3*l + 329642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69\/29 - 247\/116. Which is the closest to h? (a) -0.1 (b) -1\/14 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 3\/2*a + 3\/2*a**3 - 3*a**2.\nAnswer: 3*(a - 2)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3, -4, -1, -6 in ascending order.\nAnswer: -6, -4, -3, -1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2889 is divided by 720.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/17946345 or 1?\nAnswer: 14\/17946345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 11*h - 22. Let a be t(13). Suppose 0 = a*r - 9*r + 595. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k + 48. Calculate x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 1327179\nAnswer: -25216401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60965?\nAnswer: 5, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 + 7 = 0. Suppose 2*a - 20 = -u*a. Let s = 7 - a. Is s equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1503*-1\nAnswer: 0.1503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -829 + 826. Let r = 0.231 - -2.959. Let g = -0.19 + r. What is the closest to -0.4 in 0, g, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -0.7 (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.10646ug in tonnes?\nAnswer: 0.00000000000310646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4950182, -9900368, -14850554, -19800740, -24750926?\nAnswer: -29701112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/17556 or 3.026?\nAnswer: -1\/17556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/94 - 4047\/9823)\/(-2)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*(r*r\/(r\/((r*r*r*r**(2\/3))\/r)*r))\/r*r))\/r)\/r*r**1)\/(r**(2\/3))**29*r**0*r**(1\/4)*(r*r\/r**5*r*r)\/r*(r*r**(2\/17))\/r assuming r is positive.\nAnswer: r**(-1607\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1365\/11 + -40103\/330. Calculate the common denominator of d and -137\/1152.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 - 168 - 134 - 74 + 550 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 41*f + 121. Calculate the remainder when t(-38) is divided by 121.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**3 + 0*q**2 + 1\/6*q**4 - 2*q + 151. Let w(g) = 7*g. Calculate h(w(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 30 + 2 = 0. Suppose 5*j - 16 = 4*q, -2*j + 0*j + 4 = -q. Let t = q + x. Which is the biggest value? (a) t (b) -2 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 516 = -2*k. List the prime factors of k.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -6. Let q = 446 - 426. What is the remainder when m is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r**4 - 4*r**3 + 14*r**2 + 4*r.\nAnswer: -2*r*(r - 1)*(r + 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -10 - 15*g**2 - 1\/3*g**3 + 33*g. Is z(-24) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -897*c**3 - 49*c - 201*c + c**4 - 5*c**2 + 672*c**3 - 10 wrt c?\nAnswer: 12*c**2 - 1350*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4785*v**3 + v**2 - 2*v. Let c be a(-8). Round c to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 6\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295207 by 517.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 bigger than 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*a**5 + 21*a**5 - 23*a**5 + 7*a**5 - 3*a**5 - 2*a**5 - a**5 + 0*a**5 + 0*a**5 + (-2*a**5 + a**5 - a**5)*(-6 + 1 + 3) - 7*a**5 + 3*a**5 + 2*a**5.\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33341 rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d - d)*(d**3 + 0*d**2 + 0*d**2)*(7 + 6 - 4).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4977*k = -4*s + 4982*k + 11, -9 = -3*s + 3*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1096 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 757240590 and 2.\nAnswer: 757240590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 3. Let g(m) = -m**2 + 16*m - 9. Let a be g(16). Let l = a + 14. Solve -h - k = -l*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -28*x. Let o(s) = -1075*s + 88. Determine z(o(p)).\nAnswer: 30100*p - 2464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1037, 2175, 3715, 5363, 6825, 7807, 8015?\nAnswer: 7155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 4 + 4 + (-a**2 - a**2 - a**2)*(4*a - 4*a + a**2) - 3*a**4 + 2*a**4 + 0*a**4 + 8*a**4 - 176*a**2 + 173*a**2 - 5 + 18*a**2.\nAnswer: 5*a**4 + 15*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -c - 89, -5*q = 2*c + 116 + 62. Let l = c - -179\/2. Let -15\/2*s + l - 125\/2*s**3 + 75\/2*s**2 = 0. Calculate s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (16 + -14 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(220\/(-150))*(-12)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1631001 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 18692174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 + -13)*(-310)\/(-2). Let n be (d\/(-25) - 5)*70. Calculate the greatest common factor of 112 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**3\/3 + 140*c. Let m(h) be the first derivative of -11*h**2 - 2. Determine g(m(w)).\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:20 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62, -1\/3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18\/17, -214, 0.12?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -96*h - 654. Is m(-78) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*12 + 15 + 178\/38.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 562, 2333, 5316, 9517, 14942, 21597?\nAnswer: 29488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30861*l**3 - 2654061*l**2 - 1290*l.\nAnswer: -3*l*(l + 86)*(10287*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575*y + 577*y - 3*u - 54586 = 0, -4*u = -4*y + 109180. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 2a087639?\nAnswer: 2a087637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19*x - 17. Let w be c(-11). Suppose -4*z + w = -0*z. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3776*u**2. Let p(r) = 5*r**2. Determine l(p(a)).\nAnswer: 94400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let i(x) = -19*x - 1. Let d be i(1). Let o be d\/6*6\/(-4). What is h(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/3624 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -5*s**6\/24 + 17*s**5\/12 - 10*s**4\/3 + 10*s**3\/3 - 14*s**2. Solve h(k) = 0 for k.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 16*l**2 + l + 28. Let a be q(-16). Suppose 4*b + x = 53, a = -3*x - x. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 12) + 17 + 5 + 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)*o*o**10*(o**(1\/6))**(-1\/22) assuming o is positive.\nAnswer: o**(6991\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32864?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 30*y + 29*y + 3, y + 3 = -f. Suppose f*q - 1518 = 2*s, 3 = -4*s + 3*s. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6990 and 548.\nAnswer: 3830520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3748*q**5 + 10*q**2 - 22?\nAnswer: -224880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + 7. What is the remainder when 1029 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 + u**5\/30 + u**4\/12 - u**3\/2 - 4*u**2. Let q(h) = -2*h**3 - 3*h**2 - 3*h + 5. Give 5*o(p) + 3*q(p).\nAnswer: -p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 12*w**3 + 10*w**3 - 11*w**3 - w**2 as r + k*w**2 + x*w + l*w**3 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27740916 and 18?\nAnswer: 27740916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1548 = -2*g. Let y = 465 + g. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 - (-8428)\/14*11 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*236*(-33)\/(-132). Suppose 1 - 6 = 5*s. Is (t\/2)\/((-1)\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -11*v**7\/42 + v**3\/2 + 11*v + 15. Let r(z) be the first derivative of c(z). Find the second derivative of r(o) wrt o.\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1321, 3, -3, 9, -13, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -28. What is the lowest common multiple of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1076400 divided by -21528\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**3 - 5*o**3 - 4*o - 6. Suppose 0 = 7*s + 5 + 30. Let x(p) = 8*p**3 + 5*p + 7. Calculate s*h(r) - 4*x(r).\nAnswer: 3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -519 + 517. Suppose 3*k + 5*q - 3 = 1, -14 = -5*k - q. What is the third smallest value in z, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 - 6*b - 6. Let s be n(-4). Let y(c) = -2*c + s*c + 2*c + 2. Let t be (7\/35)\/((-1)\/(-35)) - (2 + -1). Give y(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836 divided by -7?\nAnswer: 836\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5035, 11670, 29679, 64750, 122571, 208830?\n\"Answer: 948*u**3 - u**2 + 2*u + 4086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 15*i + 2. Determine u(11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*i**3 - 20*i**4 - 55*i**3 + (0*i**3 + 2*i**3 + 0*i**3)*(151*i + 8*i + 22*i).\nAnswer: 342*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0148793955 rounded to 5 decimal places?\nAnswer: -0.01488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 z when four letters picked without replacement from {z: 4, j: 3, g: 4, r: 1, e: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(34))\/sqrt(2) + -4*(-1 + sqrt(833)).\nAnswer: -43*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2. Let l be (7\/14)\/((-2)\/(-8)). Suppose 6*k - 7 - 5 = 0. Let q(c) = 37*c**2 + 37*c**k - 65*c**l. What is h(q(t))?\nAnswer: -243*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -71. Let q = l - -26. Let z be ((-24)\/18)\/(2\/q). Solve z*w - 20 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*q + 2390 = 1114 + 10042 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((sqrt(112)\/sqrt(4))\/sqrt(4)) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 126*g + 3111. Let q be z(-32). Solve -q + 475 = 93*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2464 and 581.\nAnswer: 204512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6*z = -9*z + 51840. Is z a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*y + 2*h - 12, 0 = y + 5*h - 16. Let v be -4 - 0 - -5 - y. Which is bigger: v or -5\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*h - 34748 = -1245*h. Let y be 1699\/4 + (-3)\/(-12). Calculate the greatest common factor of h and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8938595 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 11 - 4*y**3 + 25 - 3*y**3 wrt y.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l - 1\/64*l**4 + 0*l**3 + 0 - 1\/56*l**8 + 13*l**2 - 33\/320*l**6 - 1\/16*l**5 - 1\/14*l**7. Factor f(c).\nAnswer: -3*c*(c + 1)**2*(4*c + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 < 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 790830717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/34)\/((128\/68)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 (base 10) in base 8?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (56 + (10 - 34)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 5*q - 21, -4*f + 18 = 2*q. Solve 1 = -f*n + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -7*y + 4580. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19304164 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n - 7*n + 3*n)*(-3 - 2 + 4) + 2*n - n - 4*n + (-3 + 4 - 3)*(-2*n + n + 3*n) in the form t + b*n and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtt when three letters picked without replacement from {v: 1, e: 1, g: 1, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**8\/3360 + c**5\/120 - 2*c**4\/3 + 14*c**2. Let a(i) be the second derivative of p(i). Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**6\/180 + 2*m**3\/3 + 4. Let z(i) be the third derivative of k(i). Let p(f) = 4*f**2. What is z(p(v))?\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3903.731 - 3900. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 250*d = -251*d - 27, -9*f + 67 = -5*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) - (-258)\/5. Suppose 0*f = -5*f - 150. Let p = q + f. Solve 0 = 4*r - 2*s, -r - 2*r - 4*s + p = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472927.\nAnswer: 7, 13, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/30)\/((-2)\/36). Let y = a - 13. Sort -4, y, 4 in ascending order.\nAnswer: -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-2)*((-5474)\/(-69))\/(-34)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 3*j**2 + 2*j + 2. Let g be i(2). Suppose -2*u + 2*a + 10 = 0, g*u - 5*u - 5 = a. Suppose -2*f + 2 - 4 = u. Is -4 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 25, -2*z - 2*l + 8812 = -4*l. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**23*r)\/(r\/r**(-2)) assuming r is positive.\nAnswer: r**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*i + 3710 - 8*i**2 - 3709 + 12*i**2.\nAnswer: 4*i**2 + 612*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2 + 10*v - 5. Let m(y) = 7*y**2 + 9*y - 4. Let s(g) = -7*m(g) + 6*z(g). Let u(o) = -o**2 - 3*o + 66. Let x be u(-10). Determine s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 26. Suppose 0 = 7*w - a*w - 3. Solve 5 + 4 = -w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6 + 0)*(3*g**3 + 2 - 2) + (-24 + 10*g**2 + 24)*(-2*g + 6*g - 2*g) to the form s*g**2 + y*g**3 + h + p*g and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 431536 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 37 = u. Does 44 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*l = 33, 3*g = -l - 9 - 15. Let b(i) = 2 - 4 - 8*i - i**2 - 3*i. Calculate the smallest common multiple of b(g) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = 3*n, -p + n = 4*n - 5. Let q(h) = -h**2 + 9*h + 2. Is q(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16524, -16522, -16520, -16518, -16516, -16514?\n\"Answer: 2*n - 16526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28845395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38517 is divided by 607?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/283, -3\/26 in decreasing order.\nAnswer: -2\/283, -3\/26, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + -1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 + 4. Suppose 3*n = -3*q, -n - 4*q - 9 = -0*n. Suppose 4*s - 3*r = 6, -4*r - 3 - 5 = -3*s. Which is the nearest to s? (a) y (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1288)\/20)\/(-23)*5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 966712 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3357 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22110102 (base 3) in base 10?\nAnswer: -6167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 26. Let u(d) = d**3 + 26*d**2 - 3*d - 68. Let z be u(-26). Calculate w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1168*l + 3088*l**2 + 356*l + 1070*l**2 + 70*l wrt l?\nAnswer: 8316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((0 - 0) + 0). Let m(c) = -7*c - 6. Let t(x) = -6*x - 5. Suppose 4*g + 5 = -15. What is g*t(n) + u*m(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*q**3 - 1 + 1.\nAnswer: 97*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2048 = 4*i + 6*l, 1535 = 3*i + 2*l. Calculate the remainder when i is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 4*k**2 + 2*k - 16. Let u be t(-4). What is the common denominator of (1\/(-2))\/((-72)\/226) and u\/16 - -9 - -6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (2 - 1) + (-147 - -56 - -110).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*a - 0*f + 140, -5*f = -4*a + 271. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or -148795?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3\/2 (b) 2 (c) 21 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197984551 to the power of 1\/2, to the nearest integer?\nAnswer: 64792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*d - 54. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155243 (base 6) to base 11.\nAnswer: 10662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/12 - d**3\/6 + 7*d**2\/2 - 2*d. Let g = 27 + -14. What is the remainder when g is divided by v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -129. Let v = -28 + 95. Let z = 67 - v. Solve z*a = n*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2.6 (b) -3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6*(-17)\/4. Let q = 111\/56 + b. Are 0 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 196. Suppose -s + 2*s + 99 = 0. Let i = s + n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = p - 10, 2*p - 10 = 2*m - 0*m. Suppose -4*f - d + 45 = -p*d, -f + 4*d = 10. Suppose -f*i = -27*i + 714. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.039 - -22.961. Let v = 22.7 - z. Which is the smallest value? (a) -3 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321.8 - 322. Let v be 2 + (1 - 1) + 1. What is the third biggest value in l, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/17)))**(33\/5)*r**(-21)\/r**(-2\/11) assuming r is positive.\nAnswer: r**(-18739\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m + 1. Suppose -2*r + 7 + 1 = 0. Suppose r*j + 10 = 34. Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -0.65, -2.\nAnswer: -5, -4, -2, -0.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, n: 4, f: 2, m: 3, d: 2}. What is prob of picking 1 f, 1 n, and 1 d?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 7 - 13. Let y be (-2346)\/(-15) - (-4)\/k. Suppose 3*f + f - y = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 44. Let b = 28 - 16. What is the lowest common multiple of y and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5576.865 to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 16026*b - 2632741. Give x(166).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -0.1. Let d = 2\/25 + 18\/25. Sort d, -3, a.\nAnswer: -3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.621 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -7.2. Let h = k - -6. Which is bigger: 2\/5 or h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-2 - -99))\/(((-56)\/8)\/(-7))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000029 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42660129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(18)\/sqrt(3)) + (sqrt(10)\/sqrt(2))**2 + 0.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 3*n**2 - 5*n - 3. Let p be -1 - ((0 - 1) + -4). Suppose p*q = 16 - 4. Suppose 4*k - 5*s + q*s = -10, -5*s = 15. Determine d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 19. Let u = 3.91 + 0.09. Is u != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 826 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -17. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from ctrcrgtgr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z = -361*z - 56*z + 5424. Suppose 2*l = 3*s - 56, 5*s - 5*l - 51 = 34. Calculate the least common multiple of s and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5 + 6*r**4 + 3*r**3 - 6*r**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 3, u: 10, i: 2, x: 2}. Give prob of picking 2 o.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9*t**1\/t*(t**(-1\/4))**(-1\/11) assuming t is positive.\nAnswer: t**(397\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19326088 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 508405 smaller than 508405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 893914830 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -197. Let h = 58 + -33. Calculate the remainder when i is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffsssxsfffssfsssfsff. What is prob of picking 2 f and 2 s?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/8, 420\/209, 0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 6*k - 2. Let f(i) = 3*i + 9. Let q be f(-5). Is n(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 + v - 1\/6*v**3 + 0*v**2. Let z(l) be the third derivative of l**4\/6 - 2*l**2. Give z(r(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230530 + -136497. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.3 - 22.7. Let z = k - -33. What is the biggest value in -0.1, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*6*-1*(sqrt(68) - (1*sqrt(68) + sqrt(68))))\/(sqrt(44)\/(sqrt(176) + sqrt(176)*2)*-5))**2.\nAnswer: 3172608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6090 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 2*y, 5*n + 2*y = y + 18. Let b be 2 + -5 + n + 1. What is the lowest common multiple of 8 and 4 + b\/((-4)\/(-32))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7473841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1651, 6574, 14779, 26266, 41035?\nAnswer: 59086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915186951?\nAnswer: 3, 7, 23, 210533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 11*v**2 - 17*v - 9. Let q be c(-11). What is the third derivative of q*i**3 - 29 - 3*i**2 - 31 + i**2 + 76 wrt i?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*(sqrt(104) + (-2*sqrt(104) - sqrt(104))) + sqrt(104) + (sqrt(104)*-1 + sqrt(104))*5)\/(1*3*sqrt(72)*-5))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.300562 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169\/84 - -19\/12. Let q = 0.33 - 0.03. What is the biggest value in f, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 11, -120 in decreasing order.\nAnswer: 11, 2\/3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**2*b)**(-31)\/(b**(-6)*(b*b**(2\/27))\/b))**(-1\/12) assuming b is positive.\nAnswer: b**(4025\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35102063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5971592?\nAnswer: 2, 11, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0, -0.3, -0.06, 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15 - 6*u - 20 + 10. Let w be y(-4). Let c = -18 + w. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 7*n**2 - 8*n + 14. Let g be u(6). Suppose -5*m + g = -3, -a + 21 = m. Solve -3*o = o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, -39, -9, -73 in decreasing order.\nAnswer: -9, -39, -73, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + l + 14 = 3*b, 0 = 3*b - 5*l - 26. Let p(m) = -m**3 - 2*m**2 + 3*m + 4. Let r be p(-3). Suppose 0 = 5*s + 5*a, 3*a + 0 = -5*s + r. Is s > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34244162299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3\/2 + 93450*z**2 + 5236745*z\/2 + 7014000 = 0?\nAnswer: -25, -3, 37408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j - 8. Let c be o(-4). Suppose z = 5*m - c, -m = z + 3*m - 1. Let b = 26 + z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2039\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5096 * -4\nAnswer: 20384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 4 - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.069, 15, 3, 2\/11, -1\/7, -1\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -11 - 17) + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-60)\/68)*3. Let m = -17 + s. Suppose 0 = 5*k + 5*x, 6*k - 3*k - 3*x - 24 = m. Solve -k = -2*i - 2*t - 2, 1 = -3*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7*w = 611 + 11172, 2*w + 11765 = 3*a. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1266)\/12)\/((-1)\/58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - -27. Let b be (-2)\/(-3) + (-28)\/(-12). Suppose 0*w + b*w = p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -13. Find the common denominator of (118\/(-30))\/((-6)\/9) and (o\/6)\/(-1 - -4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 58. Let x = u + -57. Suppose 3*d - 5*z - 30 = 0, 8 = x*d + 5*z - 37. Solve 3*v - 3 = -d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -107, -186, -281?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 685, -5, -2 in decreasing order.\nAnswer: 685, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 674 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/4 (c) -223 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2094 + -1875. Solve -214*n + a*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*v = -206, f + 41*v - 42*v - 105 = 0. What is the remainder when f is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1817091*i**4 - 1817091*i**4 + 3143*i**5 - 12558*i**5 - 5651*i**2 wrt i.\nAnswer: -564900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (6 + -12 + 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95, 191, 287, 383, 479, 575?\n\"Answer: 96*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 3, r: 6, a: 4, u: 1, j: 3}. Give prob of sequence rjk.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/56)\/(216\/864)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 3 (b) -0.5 (c) 36.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:13 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 18*l**2 + 25*l + 118. Let t be k(-19). Is 32\/(-40)*(-10)\/t - -1521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -0.06. Let q = u - 2.7. Does -1\/3 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 831 and 1592196?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*x - 7801, 73*l - 68*l - 12920 = 5*x. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3 - l**3 + 0 + 4*l**2 - 8*l + 6*l**2. Let q be 1*9*(3 - 2). Does 5 divide v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 12123.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -9. Suppose j*p - 135 = -0*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 1)*(1 - 1 - 2*s)*(-1 + 1 + 3) - 87*s - 159*s - 71*s as f*s + a and give f.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32566394 and 7525?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -321278 or -321461?\nAnswer: -321278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 - 58*d**4 - 158*d**3 + 2058*d**2 + 2160*d = 0. Calculate d.\nAnswer: -24, -9, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 15\/686386 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = -9. Let s = -110 + 67. Let p = l - s. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4\/70)\/(5\/75))\/2. Let c = 227671\/42 + -5421. Let g = c + y. Calculate the common denominator of -57\/5 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(2 - (-11)\/(-4)). Let s(g) be the first derivative of g**4\/4 + 2*g**3\/3 - 5*g**2\/2 + 2*g - 8. What is s(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -86?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 7*c + 7*c)*(4*c - 2*c + c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k)*(-143 - 135 + 253)*(-208 + 293 - 184).\nAnswer: -2475*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s - 30. Let f = -89.62 + -0.38. Let b = f + 88. Is s >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2*d + 2*d)*(-4*d**2 + 0*d**2 + 3*d**2) + d**4 - 5*d**4 + d**4 + d**4 - 3*d**4 + 2*d - d.\nAnswer: -4*d**4 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 14607, 219 in descending order.\nAnswer: 14607, 219, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 3*a - 1. Calculate the remainder when 37 is divided by t(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:06 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-52924)\/303 + 175)*(2 - 17\/9)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2690*z + 2675*z = -90 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -71183191.96 to the nearest ten thousand.\nAnswer: -71180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**7\/280 - d**6\/40 - 3*d**5\/80 + 27*d**2. Factor f(w).\nAnswer: -3*w**2*(w + 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5*n - 4, -9978*m + 9976*m = 4*n - 36 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 - 4*s - 7. What is r(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*w**2 - 210*w**2 + 34*w**3)*(1 + 3 - 3)*(-3*w - 2*w + 3*w)*(-14 - 2 + 3)*(1 + 2 - 2).\nAnswer: 884*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/10)\/((-7)\/(560\/(-18))). Let k(s) be the first derivative of h*s**3 - s**2 + 1 + 0*s. Find the second derivative of k(c) wrt c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -16. Let g(d) = 2*d + 3. What is the remainder when k is divided by g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-6\/5)))**(2\/5))**(-25) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0343822 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 3*v - 1. Let w be f(-4). Let o(y) = -16*y**2 + y + 5. Let u be o(w). Round u to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80643 by 4.\nAnswer: 80643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 - 5*l**2 - 9*l + 2. What is the units digit of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o - 311 = 6*o + 281 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693544024 to the nearest integer?\nAnswer: 41153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002683 to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 8*h - 8. Let l be z(0). Let c(b) be the first derivative of b**4\/4 + 7*b**3\/3 - 7*b**2\/2 + b - 3. Calculate c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136301221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 56553?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2072.8 and -29936.\nAnswer: -27863.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1135*t**3 + 3*t**5 + 590*t**3 + 561*t**3 + (-3*t**3 - 3*t + 3*t)*(2*t**2 - 2*t**2 - 2*t**2) + 0*t**3 + 0*t**3 - 3*t**5.\nAnswer: 6*t**5 + 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2 + 1058*r + 15963. Give i(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 498210 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)\/(9\/117). Suppose 4*z + y*z - 12988 = 0. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3*2\/12). Suppose k*m - 195 = -3*m. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26079\/11 or -2372?\nAnswer: -26079\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) -50\/7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 14*h - 11*h - 11*h + 37*h - 13*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x + 6. Let t(q) = -q**3 - 5*q**2 - 5*q - 3. Let u be t(-3). Let v be p(u). Let h = v - 45. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - r - 6 = -4*r, 0 = 5*r. Suppose 10 = 3*x - 2*h, 3*h + j = 6. Find the second derivative of -12*b - 5*b**3 + 2*b + x*b**3 + 6*b**3 wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose -4*a = 4*k - 16, 4*k + 3 + 5 = d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + -1 + sqrt(7))**2 + 0)*5 - (sqrt(175)*1 + (sqrt(7) + sqrt(35)\/sqrt(5))*3 + -2)**2.\nAnswer: -691 + 104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11.6243885 + -26\nAnswer: -14.3756115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 130*n - 263*n + 124*n. Give m(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/520 and 14\/(-96)*3789\/4095 + 6\/45?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {b: 1, f: 1, d: 1, l: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + -1 + sqrt(28)*6)**2 + 5 + 2 + sqrt(63).\nAnswer: -23*sqrt(7) + 1191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from tmttmtmmmttttmtttmt.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13 - 3) + (-1 - -1). Let m = -14 - f. Differentiate 3*a**3 + a**3 - m*a**3 + 2 - 1 with respect to a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**4)\/z)\/z**(1\/2))\/(z*z*(z\/(z\/z**(-2)))\/z)**(-25))\/((z**1)**(3\/13)*(z\/(z**(-1\/9)*z))\/((z**(1\/4)*z)\/z)) assuming z is positive.\nAnswer: z**(-13849\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (368\/(-4)*1\/(-2))\/2 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3939.372s to nanoseconds.\nAnswer: 3939372000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -215053401 (base 6) to base 16\nAnswer: -3b3329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 25045.965 minutes?\nAnswer: 2.48471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - z - 13828 = 0, 20*z = -w + 24*z + 3442. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g = -32*g - 75 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58179\/10 - 5812. What is the common denominator of c and -59\/2268?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 661*c**2. Let y(d) = -5*d + 49*d - 46*d. What is u(y(g))?\nAnswer: 2644*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + h**2 - 88 + h**2 - 3*h**2 + 84 - 2*h as i*h + b*h**2 + w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18658.\nAnswer: 2, 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225071 + 91553.\nAnswer: 316624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-430)\/33*179\/15215 and -8\/55.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3 + 15. Suppose -2*q = 2*t + 3*t - 16, 3*t - 24 = -y*q. Suppose 4 = -k, -4*g - k = 3*k - q. Solve -5*a = 3*h + 28, -h + 3*a - g*a = 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 7*y + 1. Let r = -1 + 4. Let a(m) = -4*m**2 - 177*m - 35. Let c be a(-44). Suppose 0 = 3*j + 3 + c, -r*j - 36 = 4*b. Give l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.2. Let o = 137 - 126. What is the closest to a in o, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnxnnnxnnnnnnnnnnn.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 445 - 443. Suppose -5*u**3 - 784 + 40*u**2 + 105*u**t + 1764 - 646*u - 474*u = 0. What is u?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345886636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n**2. Let p(x) = 82*x**2. Give p(y(g)).\nAnswer: 29602*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 37, 17, -51, -185?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -606852664.3 - -2.\nAnswer: -606852662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - y + 0*y - 18*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(2673\/(-660)))\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (6 + -1 - (-43 - (-67 + 19)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (17 - (32 - -38))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112993\/172 >= 656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367206 is divided by 91745?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 486*b + 22. Let f be q(-17). Round f to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1106 and 16?\nAnswer: 8848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4 - 4*g**3 - g*o + 308*g - 24595*o wrt g?\nAnswer: 8*g**3 - 12*g**2 - o + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 2*d - 3*d + (-5*d + d + 6*d)*(-8 - 11 + 7) as r*d + y and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929726138901790 - -0.3.\nAnswer: -929726138901789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osspszofsssom. Give prob of picking 1 z, 1 p, and 1 f.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4137868, -8275741, -12413614?\n\"Answer: -4137873*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216*v**2 + 4\/5 + 538\/5*v**3 + 546\/5*v.\nAnswer: 2*(v + 1)**2*(269*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence islb when four letters picked without replacement from {b: 3, s: 2, v: 2, l: 4, i: 2, z: 1}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -215223041 divided by -2\nAnswer: 215223041\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*t**2 - 6 - 15 + 10 + 2 - 84*t.\nAnswer: -3*(t + 1)*(25*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (7 - 6) - -4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = d - 25 + 37, -5*y = -3*d + 32. Let r(n) be the third derivative of 0*n - 1\/3*n**3 + 1\/6*n**4 + 1\/60*n**5 + 0 - 2*n**2. Determine r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380621, 2761243, 4141867, 5522493, 6903121, 8283751, 9664383?\nAnswer: 11045017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p + 3. Let h(n) = 25*n + 12. Let w(u) = 2*h(u) - 9*q(u). Let k be w(-2). Find the third derivative of k*x + 4*x**3 + 4*x**2 - 5*x wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2826882 is divided by 226.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 - 3*n - 7. Let f(g) = 14*g**2 - 8*g - 20. Let q be (4 - 3)\/(5\/10) + 60. Suppose -q*b = -60*b - 6. Give b*f(o) - 8*y(o).\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-308)\/(-126))\/(28\/(-35)*(-60)\/216).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 36274466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97866, 97867, 97870, 97875, 97882, 97891?\nAnswer: 97902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 132288*x**2 + 529088*x = 0. What is x?\nAnswer: -33068, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 20022120200?\nAnswer: 20022120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 22*a - 6. Let r(w) = w**2 + 7*w + 2. Suppose 42 - 30 = 6*d. What is d*l(h) + 7*r(h)?\nAnswer: h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168859*l**5 + 3*l**2 + 445*l + 11 wrt l?\nAnswer: -10131540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 5. Let q be d(5). Let o be 4 + (14\/(-3) + 4)*(-108)\/24. Solve q = -2*g + o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20202020 (base 3) to base 10.\nAnswer: -4920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 145350?\nAnswer: 290700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7252.615km?\nAnswer: 7252615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.7 + -0.7. Let o = s + -33.122. Round o to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g**2 - 3 - 6868*g - 13*g**2 - 16*g**2 + 6870*g.\nAnswer: -119*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q**5)\/((q\/(q\/((q*q*q\/q**(3\/4)*q*q)\/q*q)*q))\/q*q**(-2\/11)\/q))\/((q*(q\/q**(1\/4))\/q)**(-8\/7))**(-2\/87) assuming q is positive.\nAnswer: q**(79603\/8932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(968) + -3.\nAnswer: -3 + sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3642 + 92?\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.8 or -5.14925?\nAnswer: -5.14925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 59 + 12 - 71. Let k(l) = 21*l - 61*l - 82*l - 26*l. Calculate k(x(d)).\nAnswer: -148*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28907 is divided by 4104.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 619 + -566. What is the greatest common divisor of t and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-171)\/42)*(-32)\/(-6). Let o be 3*(2 - 0\/(-1)). Is a greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 273*l**2 - 8*l + 5. Is z(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 50 = 8*l. Suppose 24*d = l*d. Let q = -0.5 - -1. What is the nearest to 1\/3 in d, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -95, -307, -633?\n\"Answer: -57*a**2 + 73*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 252366096 a multiple of 2037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3420 and 42975?\nAnswer: 3266100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 973766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1500)\/(-18)*9\/6. What is l rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 0 (b) -0.2 (c) -0.11 (d) 22 (e) -2\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8448*u - 8446*u + 29 - 46.\nAnswer: 2*u - 17","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(49)\/(sqrt(77)\/(sqrt(11) + sqrt(33)\/sqrt(3))) + -1*-3*(sqrt(252) + -1)**2.\nAnswer: -34*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22552*t - 720831. What is q(32)?\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263 + -265. What is the remainder when ((-111)\/c)\/((-322)\/(-28) - 11) is divided by 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(27\/((-5400)\/(-40)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639 = 94*r + 8909 - 1994 for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4\/7 (c) -0.09 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4921*g*w**3*y - 4*g + 21*w**3 + 38*w*y - y + 1 wrt g.\nAnswer: -4921*w**3*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.714268 rounded to 2 dps?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-35))\/(112\/40).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 862 = 4*n - 25*g, 5*n + 431 = -11*g + 77 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2\/3 + 708*y - 10520\/3 = 0. What is y?\nAnswer: 5, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1*(-3 + 4). Calculate the common denominator of -117\/20 and j\/2 + (-34)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1 + (-52)\/13. Let c be (-2172)\/(-21) + m\/14. Let a = c + -31. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 11:33 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -59*l + 82. Calculate the remainder when k(-17) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a**3 - 825*a**2 + 2340*a + 540 = 0 for a.\nAnswer: -3\/14, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 9 = -27*q - 58*q - 2193 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6319800 by -900.\nAnswer: 7022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1848)\/(-140) + (-312472)\/2810\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276487 or -276419?\nAnswer: -276487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 164*y - 29. What is f(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.42 + 80.58. Let y = l + -82.9. Let v = 0.93 + y. Are -4 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (-5670)\/(-40)*8*-3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13960*m + 13960*m + m**2 - 64 in the form s + j*m**2 + w*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 - 4*z + 10. Let g(u) = 7*u**2 - 8*u + 20. Let w(f) = 3*g(f) - 5*y(f). What are the prime factors of w(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -416424, 0, 5, -2, -44, -3 in ascending order.\nAnswer: -416424, -44, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39816557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2 in ascending order.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*r**3 + 3*r**3 - 24836*r**4 - 1 - 12*r + 24834*r**4 as y*r**3 + n*r**2 + f + h*r**4 + a*r and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 16, o: 4}. Give prob of picking 2 m.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v - c + 89 = 0, 2*c = -2*v + 54. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 52844009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.7429 days to hours.\nAnswer: 2081.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2\/3*u**3 + 9*u**2 + 23*u - 93. Find the first derivative of g(i) wrt i.\nAnswer: 4*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3335268248 to the nearest integer?\nAnswer: 57752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-6)*376\/(-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/487925 and 8\/203.\nAnswer: 3415475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 186. Suppose -3*b + 0*d + t*d + 61 = 0, 0 = 4*b + 5*d - 93. Let u = 42 + -20. Calculate the lowest common multiple of u and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - ((-26 - 29) + 8)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 81547.49g?\nAnswer: 81547490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -675.8 + 676. Sort -2\/45, p, -9, -2\/5 in descending order.\nAnswer: p, -2\/45, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*1*-2 + sqrt(408))\/sqrt(12)*-3)\/(sqrt(2) + (-1*sqrt(14))\/sqrt(7) - (3*sqrt(50) + sqrt(2))).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 310. Is p*(3\/1 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 2*o**2 + 55*o - 69. Is a(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 7*u - 3. Find the third derivative of 3*y**2 + 4*y**3 - u*y**3 + y**2 - 3*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -1\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713295 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 25. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -1 + 4 + 5 + (6*(sqrt(612)*2 + sqrt(612))*5)**2.\nAnswer: 6*sqrt(17) + 4957208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037147 to six decimal places.\nAnswer: -0.000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*f + 179364 = 5*f, 5*f = -2*h + 119571. Is h\/6 - 126\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + 8*f - 7. Let v be h(-5). Solve 0*d = -7*d + v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39.6 + -31.6. Let a be (4\/21)\/((-36)\/42). What is the biggest value in a, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*o**5 + 3822*o**4 - o**3 + 5418509*o wrt o.\nAnswer: -920*o**3 + 45864*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/(-9))\/((-1220)\/(-1464))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/sqrt(108))\/(1*sqrt(9)*1) + -3.\nAnswer: -3 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155284 to the power of 1\/2, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*d = 320, 0*d = -3*d - 12. Let f = g + -27. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -506848?\nAnswer: -506835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -23, -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600015 divided by -8.\nAnswer: 600015\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -3. Let h(i) be the third derivative of -i**4\/12 - 2*i**3\/3 - i**2. Does 2 divide h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16654447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 561*v. Suppose -3*p + 2*h + 7 = 0, -2*p - 2 + 10 = -3*h. Let n be m(p). Suppose 6*i - n = 3*i. List the prime factors of i.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 226 = 94. Suppose -5*s = -0*s - 30. What is the least common multiple of ((-2)\/4)\/(2\/m) and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 767*c + 2312*c - 773*c - 772*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*q - 46 = -0*f, -4*q - 50 = -3*f. What is the lowest common multiple of 506 and f?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908282 is divided by 302507?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7392417*c**3 + 2075797*c**2 - 2*c wrt c.\nAnswer: 44354502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g**(-4)\/g*g*g*g*g*g\/g**(-3)*g*g**(1\/8)*g*g assuming g is positive.\nAnswer: g**(97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 39*o**2 - o + 63. Let c be q(39). Is 3\/((81\/(-2070))\/(c\/(-5))) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.081 - 55.081. Let n = y + 55.2. Let v = 4.4 - 4. Which is the fourth smallest value? (a) v (b) 4 (c) n (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 23927*t - 23928*t + 168 = 0, 5*u - 5*t = -180 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-55)*(-28)\/(3024\/9)*-2\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 10, 8, 6?\n\"Answer: -2*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 2*x - 3\/2*x**2 + 2 + 1\/2*x**4.\nAnswer: (x - 2)**2*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.4723 + -0.0277. Let w = -76926027.500161 + 76925989. Let q = w - c. Round q to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 40. Let j be b(-22). Let z = 3 - 8. Let a(o) = 6*o**3 + 4*o**2 - 4*o - 4. Let q(i) = 7*i**3 + 5*i**2 - 5*i - 5. Determine j*q(k) + z*a(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1654 + 1654.6164. Round t to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Solve 0 = -4*v, -2*v + 3*v = 3*c + t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9005 - 26?\nAnswer: 8a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7504947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2040 + -1215?\nAnswer: -3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 11633 = 2*v - 4594, 3*a - 4*v - 9757 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -7, -4*l + 38 = -3*h. Let w be (1 + (-4)\/h)*(-1 + 6). Suppose -5*m = -w*m - 15200000. What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d = g - 7, 3*d = -4*g + 29. What is the units digit of (-2)\/g - 10\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50617 (base 10) to base 16\nAnswer: c5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056589?\nAnswer: 2056589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 17 - 21. Let f be i\/(3*(-6)\/9). What is the greatest common factor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61558 divided by -61558.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 18, 0.\nAnswer: 0, 1, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r + 8*r**2 + 58 - 37*r - 14*r**2 + 8*r**2. Let t be z(4). Determine q so that 0*q**t + 0*q + 0 + 1\/6*q**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let n(w) = 60*w. Let j(m) = 2*n(m) - 108*o(m). Let i(p) = -2*p + 2*p - 3*p**2 + 4*p**2 - 4*p**2. Determine i(j(t)).\nAnswer: -432*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*p - 6 - 12, u - 14 = -3*p. Let f(l) = 3 + 0*l - 9*l**2 + 2*l + 0 + 8*l**u. Give f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1410 + 2109. Does 7 divide g\/33 + 8\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:18 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 435*d - 16252 = 441*d, 3*w - 9765 = -d. What are the prime factors of w?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 29291*t + 234383. What is w(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3725 and -43\/275?\nAnswer: 40975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1507934 divided by 44351.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v. Let x = 497 + -399. Suppose -y - x = -2*y + 4*g, 0 = 5*y - g - 395. Calculate the remainder when y is divided by b(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -202*c. Let s(k) = 1209200*k**2. Calculate w(s(o)).\nAnswer: -244258400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/30 + z**4\/12 - 2*z**3\/3 + 8*z**2. Let k(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*y - 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 75*g**2 - 302*g + 471. What is q(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 98.45553 weeks?\nAnswer: 16540.52904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*f - 12, -1 = -u + 1. Let t be f*5\/(100\/(-15)). Let p be 1\/(12\/48 - (-1 - -1)). Solve -3*j - 4 - 11 = -t*w, 3*w = p*j + 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57136546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/6 - 4*h**3\/3 - 78*h**2 - 1. Let s(d) = 4*d. What is n(s(c))?\nAnswer: 16*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1824 divided by -8892\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 86, 124, 160, 194?\n\"Answer: -f**2 + 43*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (66\/10)\/1 + (-9)\/15. Let x be (-220126)\/15540 + 10\/g. Let b = x - 2\/1295. What is the common denominator of 149\/18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13927471 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4544657, -9089307, -13633957, -18178607?\n\"Answer: -4544650*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-135)\/(-270) - (-15)\/2. Let j = 7 + -4. Solve -t - 9 = -4*v, -k*v + 4*t + 14 = -j*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**2*k - 5*h**2 + 2217*h*k*l - 41*h + 2*k*l - k + 5*l + 204239 with respect to h.\nAnswer: 6*h*k - 10*h + 2217*k*l - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 3 + 41*l**3 - 5*l**2 - 20*l**2 + 20*l**3 wrt l.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.5 and -55.\nAnswer: -1292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and -4.6506.\nAnswer: -265.0842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.0687, 0 in decreasing order.\nAnswer: 0, -0.0687, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -16)\/(60\/21 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398360 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 28 = 7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 77 + 54)*(2*v + 0*v - v)*(-1 + 1 + 1) in the form x*v + j and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 537*k**2 - 31*k + 33. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1085 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55984, 4, 1\/7, 0.4.\nAnswer: 1\/7, 0.4, 4, 55984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -3\/26, 5, -1\/4, 0.5, 192455?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**3 - 2*s**2 + s. Let j be w(1). Let m = -3 - j. Solve a + 5 = 2*u, 14 + 6 = 2*a + m*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5925451, 5925465, 5925475, 5925481, 5925483, 5925481?\n\"Answer: -2*h**2 + 20*h + 5925433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(405) + 0)**2 + 2 - (2*sqrt(405) + 0)) + -2)*4.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-6))\/((-10)\/(-15)). Suppose 351 = w*q - q. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.047198mg in grams?\nAnswer: 0.001047198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 2\/3, -2\/5, 2\/5, -7 in increasing order.\nAnswer: -7, -2\/5, 1\/7, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 415 = -3*n + 8*n, 4*f = 2*n - 144. Let k = n - 78. Let g = -4 + 6. Solve 6*p + 16 = g*p, -j + 15 = -k*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2287*x = 4485*x - 2275*x + 308 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 222*p + 2761. What is the hundreds digit of n(171)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283120 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1815 (b) 2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759 (base 12) to base 8.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70506, 282158, 634926, 1128822, 1763858?\nAnswer: 2540046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 39. Let z(u) = -778*u - 27 - 861*u + 1638*u. Give z(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dggdbgxxxw. Give prob of picking 2 g and 1 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 713871 < 713871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*p + 460 = 0, -572 = -5*m - p - 2*p. Let t be 2 + 256\/m + (-2)\/7. Is 1146\/t*(-6)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - y**3 + 11 - 11 - y. Let p be l(-2). What is the units digit of -1*p\/(-4)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w + 2. Let t(g) = 28*g - 7. Let b(q) = -7*n(q) - 2*t(q). Let z(i) = -i. What is b(z(u))?\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 21*f**2 - 7*f + 3. Calculate the remainder when 285 is divided by c(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3040785 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 2\/(-6))\/((-9)\/(-81)). Solve q*a - 4 = 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 6*m - 10. Let i be v(-8). Let o(n) = -2*n - 3*n - 8 + i*n. Give o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55824 and 9432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + ((sqrt(2736) - (sqrt(2736) - (sqrt(2736) + -1*sqrt(2736)) - sqrt(2736))*2) + sqrt(2736))*-5 + sqrt(2736) + 0 + -1 + 4)**2.\nAnswer: 664848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -63, 130, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, n: 2, v: 4}. Give prob of picking 1 n, 2 r, and 1 v.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*f + 37 - 16 - 22 in the form n + r*f and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -1\/700 (c) -12 (d) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4\/13 (c) 4\/5 (d) 4252 (e) 1\/2 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2546, -2544, -2542, -2540?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbi when three letters picked without replacement from {c: 3, s: 13, b: 3, i: 1}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + 431. List the prime factors of b.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:27 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-924)\/(-7776)) - (-18)\/198. What is the third biggest value in o, 0.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183 - 76. What are the prime factors of j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 4 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let m(f) = 5*f**k - 3*f**2 - f + f**2. Determine m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 6, q: 4, r: 4}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 287.39, -0.09, 0.1, 2?\nAnswer: 287.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*b - 23 - 11, -13*b - 52 = 0. Put s, 1, 21 in decreasing order.\nAnswer: 21, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -4*q**2 - 1\/3*q**4 + 0*q**3 + 0*q**5 + 0*q**7 - 3\/112*q**8 + 0*q + 0 + 0*q**6. What is the second derivative of h(v) wrt v?\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkkk when four letters picked without replacement from iikggigggikgggkiikg.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = -2*g - 0*w, 0 = g + 2*w + 8. Let p = 12 - g. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*k)*(3*k - 7*k - 4*k) + (0*k - k**2 + 0*k)*(10 - 3 + 1).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 10*b**3 + 0 - 3 - 72*b**3 in the form y + c*b + t*b**3 + z*b**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.306428ng to grams.\nAnswer: 0.000000005306428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 1. Let x = 2 + 0. Let y be z(x). What is the third derivative of 3*o**y + 2*o**2 - 2*o**5 - 4*o**2 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g - 3 + 5 + 150*g.\nAnswer: 214*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -122, -106, -66, 10, 134?\n\"Answer: 2*o**3 + 2*o - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**2 + 0 + f + 1\/3*f**3 + 1\/12*f**4. What is the units digit of q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -82 (b) 0.6 (c) -1\/14 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 10 (b) 101 (c) 0.082\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -14. Let j = x - -10. Which is the nearest to 2? (a) 3 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7387699431 and 0.5.\nAnswer: 1.2387699431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 times -0.038\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.14, -1, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -479605168*g**3 + 166459217*g**2.\nAnswer: -2877631008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(208) + sqrt(208) + 3*(2 + sqrt(13)).\nAnswer: -sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*o + 29*o - 22*o + (-o + 1 - 1)*(3 - 1 - 1) + 4*o - 4*o + 3*o)*(3*o - 6*o + 0*o) in the form l*o + t*o**2 + a and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 31*z**3\/2 + 2*z**2 + 13*z. List the prime factors of s(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/15422 and 29\/55.\nAnswer: 77110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 15*m + 2*m**3 - 11*m - m + m**2 to l*m**2 + s*m**3 + a*m + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 0*t**3 - 3*t**3 - 4*t**3 + 4*t**3 + 6*t**3 + (3*t - 3*t + 2*t)*(162*t - 162*t - 82*t**2) as b*t**3 + w*t**2 + v*t + x and give b.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12864 = 532*m + 214*m + 4294 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-6*(sqrt(108) + 0 + sqrt(108)))**2 - (4*1*sqrt(108))**2).\nAnswer: 13826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -89 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (6 + 5 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4187*p**2 + p - 1. Let n(i) = 3*i. Determine f(n(z)).\nAnswer: -37683*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 15, -10, -2.03, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 93 = 2895. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50793?\nAnswer: 3, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-9) - 36\/(-162). Suppose -3*t = g - 9. Factor -c**4 - 1 + 0*c**4 - 2*c**3 + 2*c + t.\nAnswer: -(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 6. Let h(s) = 7*s + 11. Let b(a) = 3*h(a) + 5*r(a). Suppose -4*c - 10 = -11*k + 13*k, -4*c = 3*k + 11. What is b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from {y: 1, m: 1, j: 1, l: 2, z: 1, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3 - 388445*j**2 - 139743000*j - 12573954000 = 0.\nAnswer: -388085, -180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1661.72864 and 1.\nAnswer: -1661.72864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.192 (b) -1 (c) 0.3 (d) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/18 + 19\/18. Factor -i*r**4 + 0*r + 0*r**3 - 2\/3 + 4\/3*r**2.\nAnswer: -2*(r - 1)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 1. Let w = -12 + 21. Suppose w*a = 10*a - 1. Let b(c) = c**3 + 2*c**2 - c - 3. Let o be b(-2). Let i(f) = 1. Determine a*i(k) + o*s(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69248010 a multiple of 1059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 - 4*u - 3. Let a(l) = l + 1. Let t(m) = 4*a(m) + y(m). List the prime factors of t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2076.\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 11, 3.\nAnswer: -3, 3, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/31)*s**(-2\/9)*s*s*s*s\/(s**(-9)\/s*s)*s\/(s\/(s*s**(-1\/2))))**(-10) assuming s is positive.\nAnswer: s**(-36865\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 4407977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (7 + -4) - (294 + -310).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25072612 by -145771.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 890441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 69427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5717*v - 43. Let i be u(-6). Let n = -1336178\/39 + i. Calculate the common denominator of n and 145\/138.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-4))\/p)\/(p\/p**4)*(p**7\/p)\/(p**(-1\/2)\/p))\/(p**(2\/11)*(p\/(p\/(p*p*p*p**7)))\/p)**(-6) assuming p is positive.\nAnswer: p**(1531\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 + 4) - -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2))**(1\/3)\/(z*((((z*z**(3\/2)*z)\/z)\/z)\/z*z)\/z)**(-21) assuming z is positive.\nAnswer: z**(187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1413656?\nAnswer: 1413660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 776 - 163. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 511 and 365.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -13014330?\nAnswer: -13014340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 12. Give r(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17579 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = 63 + 42 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42142332412 + 0?\nAnswer: 42142332412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5)*s)**27*s**(-13)*s**(4\/3) assuming s is positive.\nAnswer: s**(-278\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6635635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 11*g + 288, -9*g + 5*g + 60 = 4*d - g - g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -112, -130, -134, -124, -100, -62?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8343, 4, -1, -4, 1, -14, 30 in decreasing order.\nAnswer: 30, 4, 1, -1, -4, -14, -8343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1.9 (b) -5 (c) 2\/11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 236\/(-96)*6*-12. Calculate the greatest common divisor of a and 55047.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-2)*(-59584)\/(-55328)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 times -10?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.758199 and -0.7.\nAnswer: -1.9307393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 2 v when four letters picked without replacement from pxxovxvvxss?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90884671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 2*i**2 + 0*i)*(178 + 169 - 323) as n + x*i + y*i**2 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0, 2248, 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 9:16 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Put -1, 2\/9, u, -0.2 in descending order.\nAnswer: u, 2\/9, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 796 and 7.\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 9, y: 5, b: 2}. What is prob of picking 2 b and 1 s?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7536533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 - 9*s + 0*s + 0. Let z(t) = 1. Let v(w) = 2*w + 1. Let l(y) = -v(y) + z(y). Give u(l(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(-1\/11))**(4\/3) assuming h is positive.\nAnswer: h**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -48?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2396, -4796, -7212, -9644, -12092?\n\"Answer: -8*h**2 - 2376*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4300 - 1?\nAnswer: 42aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7945, 5, -2, -5, -10 in decreasing order.\nAnswer: 5, -2, -5, -10, -7945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 + 2*w**2 + 15 - 5*w**2 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -512*k*n**2 - k*n - 3*k - 174*n**2 + 2*n + 1066 wrt n.\nAnswer: -1024*k - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -871*o**3 + 9*o**2 - 68*o - 7. List the prime factors of r(-4).\nAnswer: 233, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 3*f**2 - 3*f**2 + (-1389*f**2 + 250*f**2 - 1111*f**2)*(0*f - 2*f - f).\nAnswer: 6749*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-21)\/1 + (-1080)\/260*13?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/8*(-74)\/37*(-3)\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1994307 and 49548?\nAnswer: 7977228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -361, 0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 2*c**2 - c + 2. Let x be f(2). Let t(u) = -7*u - 117. Calculate the least common multiple of x - (0 + -4) - 0 and t(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g + g**3 - 3*g - 8*g - 3*g**3 as q*g**2 + h + w*g**3 + z*g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1944\/5 - 11519\/30. Is p > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 at least 0.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39*(-6)\/(-39))\/((216\/228)\/9).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/5 or 5?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3623814552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 5*g)*(5 - 1 - 2)*(367 + 158 - 178)*(-2 - 1 + 5).\nAnswer: -1388*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321 by -425.\nAnswer: 321\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/30)\/((-4)\/10). Suppose n + s + 0*s = 2, 6 = m*n + 2*s. Suppose -d = n*d - 9. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -67.00000082. Round z to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9506 and 11269363.\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -b + 4*n, -b = 1175*n - 1173*n - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009657 rounded to 6 decimal places?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36124386 and 35534.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*-3)**2 - (1 + sqrt(2) + ((-1*sqrt(2))**2 - sqrt(2))).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = r + 4*r + c, 5*c - 37 = -4*r. Find the second derivative of 25 + r*x**4 - 1624*x**3 + 4*x + 1612*x**3 + 8 wrt x.\nAnswer: 36*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473870 is divided by 140?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 + 3*v + 2. Suppose 0*d - 60 = -6*d. Suppose 3*i + d = 2*u, 0 = -3*i - i + u - 10. Calculate p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345108 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 2\/9, 1\/8, 1\/7, -122, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - -25. Let s = -26 + j. Suppose -s*i - 302 = -21*i. List the prime factors of i.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 2\/50975 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 260341817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 1472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105002160, -105002158, -105002156, -105002154?\n\"Answer: 2*b - 105002162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176607?\nAnswer: 3, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15058418 is divided by 1363.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -332, -1133, -2714, -5333, -9248?\nAnswer: -14717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.7582 - -0.0118. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 12*f**2 + 18*f - 8. What is g(-11)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 6*r + 25. Suppose -r*z - 2728 = -8149. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2 + 19*l + 2. Let r(t) = 2*t. Give j(r(n)).\nAnswer: -52*n**2 + 38*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 105390441 times -0.4\nAnswer: -42156176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.9 plus -0.591223?\nAnswer: -302.491223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4995421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - x**2 + 1 to the form p*x**2 + q*x + i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l**(-2\/13)*l*l)\/l)\/l)))\/(l\/(l*l*l**6))*(l*l**(-3\/2)\/l*l)**(-9\/4))**15 assuming l is positive.\nAnswer: l**(12435\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - -13 - 162\/18. Solve q*x - 2*x = 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356 and 33197.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529164?\nAnswer: 2, 3, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -115*j + 129. What is the hundreds digit of x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 15 + 20)*(2*a - a + 0*a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 3*s - 4. Let a be y(-4). Let u = 0.17 + 0.03. What is the second biggest value in 5, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 14. Let r be q(10). Let k be ((-10)\/r)\/(1\/(-2)). Suppose -2 - 2 = 4*w. What is the third biggest value in 1, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.21 - 2.1. Let a = -0.89 - d. Which is smaller: -2\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 1531 = -1573 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.6, 0.3, -2\/7, -3.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1086, 62, 2, -3 in descending order.\nAnswer: 62, 2, -3, -1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 17*f**2 - 32*f + 33. Suppose z = o + 2, 3*z - 7 = z - o. Calculate the remainder when z is divided by j(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158938475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-2 - (-40)\/12). Suppose 8*u + s = 3*u + 23, w*u - 2*s - 2 = 0. Suppose 3*x = -f + 111, 0*f - 470 = -u*f + x. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 49 + 75 = -55. Let j(k) = k + 10. Let f be j(-5). Suppose 0*h - 2*h = f*w + 3, 4*h + 5*w = 9. Solve 0 = l - 3*v + h*v - 16, y*l + 8 = 5*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*w - 5003 = 8773. Sort -3, w, -4.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 1\/360*y**6 - 1\/2*y**3 + 0*y + 1\/24*y**4 + 1\/24*y**5 + 3*y**2 + 0. Let t(i) be the first derivative of u(i). Determine t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + r - 5 = -0*r, 5 = 2*j + r. Let b be j*((-14)\/(-4) - 3). Calculate the remainder when 17\/4*(4 + b) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*((d**(-2\/17)*d)\/d)\/d)\/d)\/(d**(10\/3)*d))**13*(d\/(d*d**(-1\/3)))**(-21\/4)\/(d**0\/((d*d*d**(3\/2)\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(-14099\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:53 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 8:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -1 + 9. Let p(d) = 83*d**2 - d + 1. Let f be p(j). Suppose 5*b + k = f, -3*b - k + 221 = -6*k. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 divided by -2\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*c - 13, 1 - 2 = -3*j + 5*c. Let x(i) = 197*i**2 - 98*i**2 - 98*i**j. Let p(q) = -q. Determine x(p(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*y**2 - 2*y**3 - 5*y**2 - 1 - 4 as l*y**3 + g + x*y + v*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136849649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.055035622 and -117.201.\nAnswer: -117.256035622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 9*w = -8*r - 6 - 99, -3*w + 6*w - 62*r = 349 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(121))\/sqrt(11) + -3*(-5*sqrt(44))**2.\nAnswer: -3296 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose 0 = t + f + 2, -12 = 5*t - 3*f - 2. Let g = t - -5. Calculate the least common multiple of j and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 3*j + 4. Let l = 1 - -2. Let f be i(l). Solve 6 + 2 = f*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -27. Let t = p - 99\/4. Let h = -34.796 - -34.796. Which is the nearest to h? (a) t (b) 5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/39 and (-57 - -48) + 11683\/1300?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12. Suppose 0 = -w*v - 4*v + 20. Suppose -4*t + 0*t = 0. Solve -v*f + 15 = -t*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -3*y - 4*a, -129 = -3*y + 5*a + 13 + 22 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2*(-209)\/(-152)*-4. Let q(x) = 17*x**2 - 15*x - 6. Let v(j) = 9*j**2 - 8*j - 3. Determine k*v(z) - 6*q(z).\nAnswer: -3*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 906 - 5477\/6. Find the common denominator of -5\/513 and f.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -721*g**5 - 1713*g**2?\nAnswer: -43260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350678064.\nAnswer: 2, 7, 751, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1745180 and 28795470?\nAnswer: 57590940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 12:55 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)*b*(b*b*b**(1\/5)*b)\/b)**(2\/53)*b\/((b*b**(-1\/3))\/b)*b\/(b*b**(-4))*b*b\/b**5*b*b*b**(-5\/3)\/b assuming b is positive.\nAnswer: b**(472\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10929551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 5*d. Let n be (-12)\/(-8) - d\/4. Solve -1 - n = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -37, -71, -109, -145, -173?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 22*c - 6. Let b be p(22). Let g be 24\/4 + b + (-6)\/(-2). Sort -3, g, 4.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-119))\/((-15)\/1120)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625.87 + -0.074.\nAnswer: 625.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 294660293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072 is divided by 515.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2. Let n(b) = 22*b**2 - 8*b + 268. What is n(v(t))?\nAnswer: 352*t**4 - 32*t**2 + 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 4\/(12\/19). What is the nearest to -0.1 in -2, 5\/3, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43432 = 13*c - 43122. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 22*v + 11 = -3*r, -3*r = 2*v + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6617721 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) 0.4 (c) -2 (d) 3 (e) 0.077\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3706.6004+175\nAnswer: -3531.6004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a + 15. Let q(p) = -p - 3. Let f(h) = 2*q(h) - 3*u(h). Let n(g) = -9*g. Give n(f(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.5 + 69. Let k = n - 27. Let w = k - -5.499871. What is w rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192.49 - -168.2. Let k = 21.2 - -2.8. Let l = k + g. Round l to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2*v**4 + 5*j**2*v**2 - 7*j**2 + 7*j*v**4 + 2*j*v**3 wrt v?\nAnswer: 72*j**2*v + 168*j*v + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*p**2 + 1 - 10 + 31 with respect to p.\nAnswer: -46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 8*q + 5. Suppose 0 = 5*t - 5*n - 20, 5*t - 4*n - 24 = -3*n. Give z(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 6.7\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -588*k - 120510. What is m(-205)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, b: 5, u: 1, m: 1, l: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.059, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*n - 52, -4*m - m = -3*n - 33. Let q = m + -15. Is -1 + 1 + -3 - q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 3*j**2 + 0*j**2 + (16 - 15 - 10)*(-2*j**2 + 0*j**2 + 3*j**2) as f*j**2 + t*j + k and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452386633?\nAnswer: 452386633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185146.\nAnswer: 2, 13, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 2, -10, 3377, 0.61, -2\/11?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64af (base 16) in base 13?\nAnswer: -b969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 34*w**3 + 11 - 5 + 13*w**3 - 24*w**3 - 9*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -325533.6 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggwwgtnxltx. Give prob of sequence xgt.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let l = 1 + m. What is the units digit of l + 3\/1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*j - 116, 0*j - 252 = -4*j + 5*h. Let g be 1 + 0 - 2*-1. Suppose -g*b + j = b. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - 25. Let t = -49 - y. Which is the closest to 0.1? (a) t (b) -9\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 2284477?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*p*q**2 + 278863750*p + 10*q**2 + 1578*q wrt q?\nAnswer: -116*p*q + 20*q + 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) - (-9)\/10. Suppose 4*r + 95 - 51 = -3*u, -2*u = 5*r + 62. What is the third biggest value in 1\/6, r, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661420139.\nAnswer: 17, 29, 78919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(4 + 2). Suppose x = h - 1. Solve 5*a - t - 21 = 0, -h*a + a + 4*t - 1 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(4\/3)*m**43\/m)\/((m\/m**37)\/m)**(-1))**(-3\/8) assuming m is positive.\nAnswer: m**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 + 55554619.18.\nAnswer: 55554582.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817825554?\nAnswer: 2, 3, 7, 13, 499283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*d**3*k - 58*d**2*k**2 + 2*d**2*k - d**2 + 1299*d*k + 97*k**2 wrt d?\nAnswer: -192*d*k - 116*k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) -10\/11 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oororoor. What is prob of sequence ooo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2736) - (sqrt(2736) + 2))*-3 + 2)*3.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 23\/(-2))*(-120)\/90. Suppose -h*c = -3*c + 13827000. Round c to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461903735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-2*-3*-4)\/(sqrt(99)\/(sqrt(891) + sqrt(891) + sqrt(891)*1)).\nAnswer: -648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 303 - 303.3. Put 0.4, -2, 7, n in decreasing order.\nAnswer: 7, 0.4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.9 or 2670?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**3 + 7*j**3 - 8*j**3)*(-3 + 0 + 4).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 - 416423*j**3\/2 + 173406449225*j**2\/4 + 173409780625*j.\nAnswer: j*(j - 416425)**2*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 12 - -14) + 1 + (11 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.543 - 324.457. Put 4, r, -1 in ascending order.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4736?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 9*i**2 - 8*i + 4. Determine x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1*3*-1. Let j be (-4)\/(-2) - 3 - 1. Let h(r) = r. Let f be h(j). Put p, f, -4 in increasing order.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**3 + q**2 - q - 29. Let w(y) = -3*y**3 - y**2 + y + 29. Let g(d) = 2*t(d) + 3*w(d). What is the remainder when 85 is divided by g(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 13*l**2 - 16*l + 32. Let t be (-6)\/(48\/(-124)) - (-3)\/(-2). Let d be s(t). Solve -d*f - f + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2402 divided by 6.\nAnswer: 1201\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6619472 * -5\nAnswer: 33097360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -11*q + 63. Suppose -3*p = -u - 4143, 3*p + q*u + 1073 - 5201 = 0. Round p to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492648?\nAnswer: 2, 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 + 3*j**3 + 2951*j - 181614.\nAnswer: 8*j**3 + 9*j**2 + 2951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1.76?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302231 (base 4) in base 2?\nAnswer: -10110010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 583 = 5*n, -5*n = -2*k - k - 589. Suppose 4*u - u = -4*m + 210, 2*m = 4*u + n. Suppose 6*c - 182 = -3*b + 2*c, 0 = b + 3*c - m. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00282838263 rounded to 7 decimal places?\nAnswer: 0.0028284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -104)*(-1138)\/(-2276))\/(1\/2)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/(-518)*42\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**6))\/j**(-3\/4))**(3\/2) assuming j is positive.\nAnswer: j**(81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(3\/10))*m*m\/m**(2\/3))**(2\/7)*((m**(-2)*m)**(-1\/40))**17 assuming m is positive.\nAnswer: m**(121\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18287 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12*t + 32 = 0. Let w = 350 + -352. What is the smallest value in -10, t, w?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2233 - -3022303?\nAnswer: 3030041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 0.0062 (c) 0.06 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12*r - 2*r**2 - 4*r + 4*r + 2*r + 4. Let a be b(6). Solve 0 = v + 3*v + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88, 126, 202, 328, 516, 778?\n\"Answer: 2*t**3 + 7*t**2 + 3*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117236 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 123*q**3 - 263*q**3 - 157*q**3 + 2*q**2.\nAnswer: -543*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12716443?\nAnswer: 1439, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -97*r - 676. Let h = -13 + 18. Suppose -48 = -h*i + 4*g - 2*g, 3*i - g - 28 = 0. Calculate the smallest common multiple of i and c(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -691814.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o - 12 = -3*h, -4*h + 4*o - 24 = 0. Let b be 4 - (103 - (-10)\/(h + -4)). Is b smaller than -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36862 divided by 567.\nAnswer: -5266\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -36\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/27 and 41\/3534.\nAnswer: 31806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 - 4*c**3\/3 + 3*c**2 - 2*c - 1. Let s = -41 + 36. Determine g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1662.266*-3\nAnswer: -4986.798","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/126)\/((-1)\/(-6)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5467 divided by 497\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 9. Let q = -7 - -2. Let p(w) = 8*w + 32. Let f be p(q). Determine x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55735*b**4 + 635*b**3 - 454936*b - 15 wrt b.\nAnswer: -668820*b**2 + 3810*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-182))\/(2343\/30459*(-2 + 3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + v = -17, 2*m + 386 = 5*v + 406 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1802 + -1799. Solve -4*r - y = -3*c - 3*r, 0 = -4*c - r + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 1302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -9.7 (b) -2\/19 (c) 0.2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -3*x**4\/2 - x**3\/6 + 3*x**2\/2 + 2*x - 19. Find the second derivative of d(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21424 + -4103?\nAnswer: 12321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = 22*n + 21. Solve 4*m - 5*d - 14 = n, -5*m + 24 = -3*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 + 310 + (28 - 1) - 70.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 864043151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/146 or 21?\nAnswer: 3\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1237400307 + 678.1241610307. Let y = 678 - q. What is y rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 111.92?\nAnswer: 115.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*190.2151.\nAnswer: -951.0755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6 + (-114)\/(-4). Suppose -h = h - y. Suppose -12 = -q - 2*q, c - h = -q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3220 = -3*l - 2*n, 2*l = 4*n + 1604. Let m = -801 + l. Let q be 14*(2 - 1)*1. Solve -5*u = -m, 4*k + u + q + 1 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4653 and -749.821.\nAnswer: -5402.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 29*m - 10. List the prime factors of c(12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - sqrt(528)*-2)*4 + sqrt(528))\/(sqrt(1452) - (sqrt(1452)*1 + sqrt(1452))).\nAnswer: -26*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 8*j**2 + 23*j + 115. Let l be r(-7). Solve l*y + 12 = 0, 2*y = 3*n + 2*n - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167716958 to the power of 1\/2, to the nearest integer?\nAnswer: 12951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from herre?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -16.89138503606?\nAnswer: -20.89138503606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1*f)**30\/(f**(-8)\/f**15) assuming f is positive.\nAnswer: f**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2060\/11 and -187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29935444 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42240 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 265 - 226. What is the highest common factor of 48 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 + 3*k. Let y(o) = -4*o**3 + 4*o. Suppose 28 = 6*n + n. Give n*i(r) - 3*y(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2595 + 2664.26. What is a rounded to zero decimal places?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1975871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 + 746\/5. Let z = 2.2 + -2. Let o = z - 0.1. What is the second smallest value in d, 1\/2, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 - 2*n**2 - 3*n + 1. Suppose 4*o + 4*f + f - 44 = 0, -26 = -5*o + f. Is 9 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760664014.\nAnswer: 2, 3, 19, 8072117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/102)\/(3\/4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 28*p - 1. Let l(y) = -558*y + 27. What is -4*l(w) - 81*n(w)?\nAnswer: -36*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**6\/40 - 3*h**5\/40 - h**4\/16 - 5*h. What is v in i(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**3*l + 8428*j**3 + 10*j**2*l + j**2 - 8*j*l + j + 85*l + 25 wrt j?\nAnswer: -24*j*l + 50568*j + 20*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ente when four letters picked without replacement from eteeeeteteeeeteten.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59744, 119121, 178498, 237875?\nAnswer: 297252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 8. What is the biggest value in u, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223316483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 530*o + 7*o + 432*o - 43*o in the form b + f*o and give f.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + a814?\nAnswer: a814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-36) + (-295)\/(-9). Let u = y + -230\/7. Is -1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*u**3 - u**2 - 10 + 40 - 15 - 15.\nAnswer: 85*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*u - 11 = t, -2*u = -5*t + 13. Calculate the least common multiple of t and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 6*c - 1. Suppose -30 = 4*b - n, 0 = -4*b + 2*b + 2*n - 12. Let m be a(b). Solve 2*d = -d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*a - 6*a + 9 + 5*a + 7*a wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59031 and 9.\nAnswer: 59031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9058342, -9058301, -9058260, -9058219, -9058178?\n\"Answer: 41*q - 9058383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*h - 10, 5*k + 3 + 0 = 2*h. Let d = -7 + 5. Does 9 divide (1 - k) + (d - -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 50535*j + 50532 = 0 for j.\nAnswer: -16844, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from {q: 1, t: 2, a: 1, s: 2, y: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/9140 and -17\/1090?\nAnswer: 996260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3*25\/5. Suppose t*w - 13*w - 18 = 0. Suppose -2*j - 3*v - w = -4, -5*j = -5*v. Is j smaller than 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1076 + 0.1924. Which is the nearest to n? (a) -126 (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-516))\/(16635\/(-26616)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.91 + 1.78. Let m = w + -7.17. Let a = -6 - m. Is 1\/3 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 5250?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 268, 966, 2314, 4528, 7824?\n\"Answer: 36*r**3 + r**2 + 9*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95 in -1\/3, 1.1, -1\/191009?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/15 + f**5\/30 + 3*f**2. Find the third derivative of w(n) wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.135074821 to three decimal places.\nAnswer: 1.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52\/87 + -2\/29. Let z = -0.56 + 40.56. Let v = z - 40. Sort v, o, 3 in descending order.\nAnswer: 3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/105)\/(24\/40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.784 + -39. Let r = -0.416 - g. What is the nearest to 3 in 4\/3, r, 1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + (2 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(57)\/(sqrt(21)\/sqrt(7)))**2 + 5 + 0 + sqrt(19) - (1*(sqrt(114) - (sqrt(114) + 3*sqrt(114))) + sqrt(114))\/((sqrt(12) + sqrt(588))\/sqrt(2)).\nAnswer: 5*sqrt(19)\/4 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = -3*j, -2*q + 6 = j - 0. Suppose q*c + 123 = 5*m - 2*m, -3*m - 4*c + 147 = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29109 and 20.03.\nAnswer: 29129.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**2*n**3*p + 7*h**2*n**2*p**3 - h**2*p**2 - 23*h*n*p**2 - 2*n*p**3 - n*p**2 wrt n.\nAnswer: 42*h**2*n*p + 14*h**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1.5, 0.1 in decreasing order.\nAnswer: 0.1, -1\/8, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 145*h**3 - 3*h**2 - 16*h + 3. Let l be f(5). Suppose -3*w - t + 26630 - 8654 = 0, -3*w - 2*t + l = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50973*b - 50994*b + 294 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 7 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749 is divided by 2742.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 27*o**2 - 57*o**2 + 21*o**2.\nAnswer: -9*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x*x**(-2\/3))**(-1\/80) assuming x is positive.\nAnswer: x**(7\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6344759177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3363 is divided by 281?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -13548954?\nAnswer: -13548972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188 = -951*g + 947*g. Which is greater: 298 or g?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -31.1. Is q equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -19. Suppose 3*a - d = -a. Sort -4, a, -3 in increasing order.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54773767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4542*b - 22938*b - 2428*b = 1353560 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/22 + 65\/154. What is the second smallest value in 2, i, -3\/2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*n**3 + 161*n**3 - n**2 + 0*n - 117*n + n**2 wrt n.\nAnswer: 894*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -15, -102, -277, -570?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2 - 6*t + 8 + (6 - 2 + 0)*(-t - t + 0*t) + 5*t + 0*t - 3*t + (-2*t + 0 + 0)*(4 - 3 + 2).\nAnswer: -18*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:40 AM?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18520331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6697111, 18, 2 in decreasing order.\nAnswer: 18, 2, -6697111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*(81\/90)\/(15\/4120). What is the greatest common factor of c and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m - 5*b = 22, 4*m - b = -4. Let i be (-2 + (-3 - -3))*m. Sort -2, i, -19 in decreasing order.\nAnswer: i, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2*r**3\/3 + 4*r**2 - r + 2. What is the tens digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 - 14*q. Let u be a(-10). Suppose 3*v = -3*v + u. What is v rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11514 and 7175616.\nAnswer: 724737216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**7\/15 - f**6\/120 + 7*f**4\/24 + 20*f**2. Find the second derivative of o(d) wrt d.\nAnswer: -168*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321631839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m)\/(m\/m**(2\/37)) assuming m is positive.\nAnswer: m**(-331\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*t = -5, 2 = -2*k + 2*t - 0*t. Suppose -5*w = -6*o + 5*o - 29, -4*w + 4*o + 36 = k. What is the first derivative of -w*l + 8 - 2 + 3 wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-25) + ((-264)\/(-20))\/2. Let x be (60\/27 - 3) + (-16)\/72. Is x equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -83. Let q be (1 - (x - 2)) + 3 + 3. Solve 2*t + 2 + q = -2*m, 0 = 4*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 0 + (7 - (-24 - (-26 + -5))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -25*r + 2. Let t(y) = 24*y - 2. Let i(c) = 4*t(c) + 3*x(c). Let f(k) = k**2 + 21*k + 21. Let w be f(-20). What is the units digit of i(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1188363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 + -0.105. Let g = c + 0.047. Let t = -0.02 + g. What is t rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21204 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, 63, 65, 69, 75, 83, 93?\n\"Answer: g**2 - 3*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(-8) + ((-1092)\/(-2080) - (-2)\/(-5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, s: 2, u: 3}. What is prob of sequence iu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5718 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5 - 3*g**2 + 2*g**2 - 2*g + 1 + 0*g + g**3. Give b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -7*p**2\/2 + 52. Let q(h) = -5*h. Give l(q(f)).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(204)*1*-6 + sqrt(204) + sqrt(204)*2*1 + sqrt(204) + sqrt(204)))\/((4*sqrt(48)\/sqrt(4) - sqrt(12) - sqrt(48)*4)*5).\nAnswer: sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*b + 13. What is the nearest to b in -5, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + -2) - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 1349*h**3\/3 + 276*h + 919. What is the derivative of q(r) wrt r?\nAnswer: 2698*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -33*o**2. Let h(a) be the first derivative of -2*a**2 - 65. What is g(h(j))?\nAnswer: -528*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = 0, 4*o - r + 12 = -5*r. Suppose -b - 22 - 16 = -o*w, 90 = 5*w - 5*b. Which is greater: 18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -63, -3, 475, 5 in increasing order.\nAnswer: -63, -3, 2, 3, 5, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*q**3 + 40*p**2*q**2 - 3*p**2*q - 8*p**2 + 13*p*q**3 - 2*p*q + 2*q wrt q?\nAnswer: -12*p**2*q + 80*p**2 + 78*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -543, -1249, -2241, -3519, -5083, -6933?\nAnswer: -9069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3 - 20*l**2 - 5*l - 55 wrt l.\nAnswer: -24*l - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 369237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-9 + (-1 - 1)). Suppose 2*s - 4*v = -6, 8*s - 2*v + 30 = 4*s. Let t be (2\/s)\/1 + 5400\/243. Calculate the greatest common factor of t and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 22531006 and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4 + (-4*sqrt(1573)*1 - sqrt(1573)))*-5)**2*-4.\nAnswer: -3934101 - 44000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5*n + 15, -60411*i - 3*n = -60416*i - 21 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/45)\/((-4)\/10). Let a be (-2 + 1)*o*(-1)\/51. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3284\/382839 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*d + 1525 + 1958, 4*d + 4*m = 3488. Suppose d = 9*n + 111. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 3*u**2 + 3*u - 1. Let x be s(4). Suppose -9*l = -6*l - 6. Let 28*k**2 - x*k**l + 1 + 1 - 3*k = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1821628*t**2 + 9*t + 211352 wrt t.\nAnswer: -3643256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:46 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*c + 6, -t + c - 5 = -2. Is (0 - -2708) + -1 + 0 + t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*14\/(-196)*-119. Let q(u) = u**3 - 17*u**2 - 7. Determine q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -625 in -0.1, -3, -1, 1, -0.5, -19\/3?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 5 - 13)*(-q - 1 + 1 + (8 + q - 8)*(3 - 7 + 0) - 2*q - 2*q + 3*q).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 53. Give l(-34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(-3 + ((sqrt(17)*-3 - sqrt(17)) + -3 + sqrt(17) + (2*sqrt(272) - sqrt(272))**2)*1)*-2.\nAnswer: -72*sqrt(17) + 6384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1128 = 5*c + 97, -4*l + 3*c = -1039. What is the greatest common divisor of 111 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*m + 9 - 4*m - 6 to z*m + i and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 5a6?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4305684 take away -1.5?\nAnswer: 4305685.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756468 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8*28)\/(49\/42)*13\/39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:20 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 10*k**2 + 16)*(12*k + 5*k + 8*k) to v + r*k + t*k**2 + a*k**3 and give a.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1380 and 6210?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:23 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 20*w**2 + 36*w - 8. Let m be g(18). Let a(t) = -t**2 - 9*t - 7. Let c be a(m). Solve 0 = 3*d - 5*o - 14, -4*o - c = -2*d + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -3*s**2\/2 + 8. Let k be l(-4). Let d be 6\/k + (-15)\/(-2). Solve -5*w = -0*w - 3*x - 5, -3*w + 4*x = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/6 + 5\/15. Suppose h*w = -7 + 15. Suppose -q - 4*d + 7 + 2 = 0, -16 = -4*q + w*d. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 158004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 22*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.141979 hours?\nAnswer: 18511124400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 3*r**2 - 5*r + 2. Calculate the remainder when j(2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 360 = -12*z. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.6 + 6. Let v be (-264)\/(-77) - 6\/14. Suppose -6*o = -v*o. Which is the closest to o? (a) 0.1 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let g be k(-4). Suppose 2*l = 3*l + 3*w + 3, 0 = g*l - 2*w - 2. Suppose 5*j - 15 + l = 0, h - 2*j + 6 = 0. Solve -2*q - 4 = -h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*h, 2*h + 15618*q + 22 = 15614*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 31*(-10 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*1.0156\nAnswer: 0.040624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*b**2\/9 - 130*b\/9 + 4\/9 = 0. Calculate b.\nAnswer: -1, 2\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2231936 * -2.\nAnswer: -4.4463872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 + m**3 + 5*m**2 - 6 + 5*m**2. Let x be u(-5). Suppose 5*l + 2*s + 53 = -2*s, 0 = 3*l - 4*s + x. Which is smaller: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(-2150)*-70)\/(1\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 23.3. What is the closest to 1 in y, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 161. Let y = t + -92. Which is the biggest value? (a) 8 (b) 4 (c) -0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671460468 to the power of 1\/3, to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 14, -52, -144?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922413 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8d (base 14) in base 13?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18170758 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -89*c + 516. Give m(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45320 (base 6) in base 10?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322 and 12?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o - 2 + 1\/2*o**2. What is the units digit of l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 1\/3, -125\/121, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 11, -2, 796 in decreasing order.\nAnswer: 796, 11, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 118. Find the second derivative of 25*q - 21 + 25 - 28*q - 88*q**x wrt q.\nAnswer: -1056*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/51859 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z**4 + 26976*z**3 + 1237780*z**2 - 2119500*z + 891000 = 0. Calculate z.\nAnswer: -99, -90, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 0.75382, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 - (-27 + 16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:18 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16198 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93*(-8)\/(-24)*7*(-4)\/(-28).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 11:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 37 = 5*i, -5*i + 18*y = 20*y + 39. Sort i, -16, 3 in decreasing order.\nAnswer: 3, i, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/56)\/(2\/28). Solve 13 = j*k - 7, -2*b + 5*k = 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-2 + (-8 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w, -3*w - 4 = 4*x + w. Let n be 2*(1 + (-11)\/2). Let z = x - n. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700 (base 11) to base 13\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.833 times 1.809\nAnswer: 15.978897","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22522, -45059, -67582, -90085, -112562, -135007, -157414, -179777?\nAnswer: -202090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*t = m + 14, 39 = m - t. Let l = m + -30. What is the second derivative of 3*z + z**3 - 165*z**l - z**3 + 161*z**4 wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/27 and -41\/990?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/8 + 15*n**2. Give x(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4419 - 4406.973. Let o = 0.052 - 12.052. Let a = o + h. Round a to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4320 and 109965?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -16 + 1. Let d(z) = -72*z + 209. Let l be d(3). What is the third smallest value in -0.3, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-117)\/(20\/120 + 2\/(-4)). Suppose -2*q + 535 = -r. What are the prime factors of q?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756857 and 29329?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and 59?\nAnswer: -4543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 36 = 4*d, 30 = 3*d + 3*t + t. Let n = -11 + d. Sort n, -0.3, 0.\nAnswer: n, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2104666 - 2?\nAnswer: -2105001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3\/4 (b) -2\/3 (c) -0.7 (d) 371 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -1124, -2529, -4496, -7025?\nAnswer: -10116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -847*i. Let j(l) = -l + 437. Let m(c) = -46. Let h(u) = 2*j(u) + 19*m(u). What is x(h(d))?\nAnswer: 1694*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**7\/21 + 5*p**3\/6 + 2*p + 2. Let b(h) be the first derivative of g(h). What is the second derivative of b(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4465587.6 microseconds to hours.\nAnswer: 0.001240441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd + -661?\nAnswer: -73e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 443483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)\/(4*sqrt(18)\/sqrt(3))*1 + -4)**2.\nAnswer: 4*sqrt(13) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 10751*f**5\/60 - 343*f**4\/3 + 1264*f**2. What is the second derivative of o(u) wrt u?\nAnswer: 21502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**2 + i + 22. Let t(g) = -4*g**2 - g + 10. Determine 4*a(y) - 9*t(y).\nAnswer: 4*y**2 + 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141 bigger than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o - 44 - 39 = 0. Which is greater: 2\/2359 or o?\nAnswer: 2\/2359","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 70 = -65. Let c(g) = -8*g + 42. Let l be c(o). Solve 3*d + v - 11 = 0, -4*d - l*v + 18 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uggu. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a**3 - 15*a**2 - 8*a**2 + a**2 - 9 - 24*a - a**4 = 0 for a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.00742026 and 0.0058?\nAnswer: 0.01322026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**2 + 352*z - 3128. Let q(c) = 49*c**2 + 1761*c - 15649. Let f(y) = 11*n(y) - 2*q(y). Find the first derivative of f(d) wrt d.\nAnswer: 2*d + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o + 2*o - 5*o)*(3 + 15 - 6)*(-7*o**2 + 7*o**2 - 2*o**3) + (-3*o**4 - 2*o**4 + 3*o**4)*(1 + 0 + 1) to m*o**4 + f + v*o + w*o**3 + c*o**2 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802032 is divided by 689?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221190 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219.04 + 3.96. Let n = j - 223.091. Round n to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*p - 5*m + 21, 2*p = 3*m - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8483, 68170, 230265, 545972, 1066495, 1843038?\n\"Answer: 8534*m**3 - 51*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4\/3 + 5*p**3 - 14*p**2\/3.\nAnswer: -p**2*(p - 2)*(4*p - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -58, 184 in increasing order.\nAnswer: -58, 38, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:56 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2. Let u = 19 - -11. Let h(z) = -30 - 2*z + u. Calculate m(h(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 110. Let u(n) = -58*n + 8. Let m be u(j). Suppose 0 = -2*g - 4*x + 226, -4*g = -x + 4*x - m. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7*c + 9, -q = 4*c - 29. Suppose 2*f = 4*z + 50, -z = -0*f + f + q. What are the prime factors of z\/(-49) - (-458)\/14?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/((-1)\/(4\/(-3))). Let v be (8\/k)\/((-1)\/(-5)). Suppose 5*i - 5*y = 10 + 15, v*y + 22 = 5*i. What is the remainder when 6 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*k - 19 = 0, -4*b - 6*k = -4*k - 56. Calculate the remainder when 24 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, 5, 3, 6 in descending order.\nAnswer: 6, 5, 3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12739 by 3652.\nAnswer: 12739\/3652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 26. Suppose 5*r + 35 = 2*s, 94*r = -5*s + 97*r + 21. What is the nearest to 0.15 in h, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 138672, 277345, 416016, 554685, 693352?\n\"Answer: -u**2 + 138676*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-150)\/(-70))*(-4)\/7.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*o - 14963 = -48083 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 46*v**3 - 91*v**2 + 10*v + 1. Let l(z) = 35*z**3 - 68*z**2 + 8*z + 1. Determine -9*l(s) + 7*o(s).\nAnswer: 7*s**3 - 25*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19724*q**2*y + q*y + 3*y + 121 wrt q.\nAnswer: -39448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 25*q**2 - 46*q - 23. What is d(23)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -13, -2, 35, 110, 235?\n\"Answer: 2*w**3 - 5*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - y - y)*(2*y**2 - 2*y**2 + 2*y**2) - y**3 - 1 + 1 + 2*y**2 + 2*y**3 - 2*y**2)*(-4*y**2 - 2*y + 353 - 353).\nAnswer: 4*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*v**2)*(-1 - 3 + 3) - 2*v**2 + 4*v**2 - 3*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70063117 divided by -2.\nAnswer: -70063117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8911706 divided by -262109\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a. Let m be d(-6). Suppose -m = -2*s - 3*s. Calculate the smallest common multiple of 20 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 116 (b) -2 (c) -12 (d) 4\/3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-4)\/(-2) - (-20 - (-20 - -5)). Put -5, q, 0, -6, 1 in decreasing order.\nAnswer: q, 1, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39336, 39934, 40532?\n\"Answer: 598*a + 38738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 - 68. Calculate the remainder when (-8)\/(-3 - r\/(-45)) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 2*l**2 - l**2 + (l - 6*l + 4*l)*(-9 + 3*l + 22 - 11) to z*l + j*l**2 + c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 3\/158 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 21. Let j = 28 - l. Let z = 22 - j. Which is the fourth biggest value? (a) -1\/3 (b) z (c) 0.2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52581 (base 10) to base 11.\nAnswer: 36561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2069 - 446?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchuuqchujuuuujqjq. Give prob of sequence cchu.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1826414.56 - 41324.56. Let r = l + -1785089.8999927. Let t = -0.1 + r. Round t to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 174. Suppose 4*f = 2*p - 306, 424 = 3*p - f - 15. Calculate the highest common factor of b and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20960, 83873, 188728, 335525, 524264, 754945?\nAnswer: 1027568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + n - 835 = 5*n, 2*s = -n + 347. Let r = s + -97. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 = 0, -3*h + 30 = -3*c - 0*c. Let z = h + -6. Factor 0 - 4\/5*g + 2\/5*g**z.\nAnswer: 2*g*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 31*f**9\/126 + f**6\/24 + 1639*f**5\/60 - 1405*f**2. Find the third derivative of y(o) wrt o.\nAnswer: 14880*o**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4018108*i**3 - 8036214*i**3 + 4018163*i**3.\nAnswer: 57*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.043097 in -1, 2000, -3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92159 divided by 1?\nAnswer: 92159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -11*z**3 + 0 + 37*z**2 + 0*z + 1\/8*z**4 + 3\/20*z**5. What is the first derivative of v(u) wrt u?\nAnswer: 18*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y**3 - 3*y**2 + 2*y + 1. Let p = 4 - 2. Let q be w(p). Let m = -1355\/7 + q. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -359, -360, -365, -374?\n\"Answer: -2*b**2 + 5*b - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*r + 2 = -4, 0 = 5*m - r - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1017129 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/20)\/(21\/(-42)))\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -h*x + x + 2 = 0. Suppose -7*l + x*l - 4*f = -80, 4*f - 8 = l. Solve -4*v + 5*a = -4, 3*v - 2*a + l = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 35940 + 2396 = 5*y, -3*f - 3*y + 28749 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 110695, 0.5, 3\/7, 2\/7 in ascending order.\nAnswer: -1, 2\/7, 3\/7, 0.5, 110695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 145, -28 in ascending order.\nAnswer: -28, 2, 3, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let q be (5\/15)\/(g\/15). Let u = 0.04 - -1.96. Sort u, q, 1\/6.\nAnswer: 1\/6, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.9*-0.2\nAnswer: 14.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 3*h**2 - 3*h**2)*(-37*h - 24*h + 12*h).\nAnswer: -49*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - f = 10, -5 = -s - 2*f - 3. Suppose v + 2068 = s*v. Let z = -5232 - v. Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -973289a7 - 5?\nAnswer: -97328a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**4\/12 - 3*u - 15306. Let k(g) be the first derivative of 3*g**2\/2 - 4*g - 1. What is k(m(d))?\nAnswer: -3*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 815 and 1250536?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -207, -265, -343, -441?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1080)\/(-80))\/((-87)\/58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127349 is divided by 30484?\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 16 + 18. Suppose d + 23 = j, 3*j - 4*d - 108 = -g. Solve 4*s - 18 = -0*z + 2*z, 2*s = 4*z + j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180797875 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 17 + 3. Let y = -3 - c. Suppose -3*o = -5*t + 39, -2*o - 4*t + 39 = -5*o. Sort y, o, -3 in ascending order.\nAnswer: o, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -94115, 6, -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**3*o**3 - 15*h**3 + 149*h**2*o**4 - 72*h*o**2 + 3*h*o + 6*o**3 wrt o?\nAnswer: -18*h**3 + 3576*h**2*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-10 + 16)) + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8386*z**2 - 8761*z**2 + 22153*z**2.\nAnswer: 5006*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 300 - 124203*z**2 + 62104*z**2 + 62110*z**2 - 300 - z.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -4120432532?\nAnswer: -4120432513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d - 1 + 1)*(-4*d + 4*d + d**3) + 14*d - 1991*d**4 + 1006*d**4 + 1003*d**4 to h + s*d + n*d**2 + x*d**4 + c*d**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153402, 306859, 460316?\nAnswer: 613773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 120 - 20 = 0. Suppose -4*k = 5*c - 0*c - l, -2*c = -3*k - 10. Solve -o - 6 = -4*x + 3, 4*o + 4*x + 16 = k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52576 by -424.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22+5659888860\nAnswer: 5659888882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvtxvtvx. What is prob of sequence vttx?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 31, 2, -19\/107, 6?\nAnswer: -19\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m + 38914 - 36946 = 0 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 51.41. Let z = 0.39 + c. Is z at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964445519.\nAnswer: 7, 1427, 296771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -54. Suppose 1 + 5 = 2*l - 2*n, -5*l = -2*n - q. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2518 - 42821\/17. Let s = -175\/102 - k. Find the common denominator of -47\/11 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -393402*-24\nAnswer: 9441648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -911\/8 + 114. Let i = 523 - 519. Let l be (-5 + 20 - 7) + (-4)\/i. What is the third biggest value in m, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, 1095\/2, -426?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 12*f + 12. Suppose -2*t + 4*u + 6 = 0, 0 = 13*t - 14*t - 3*u - 7. Which is the fourth biggest value? (a) t (b) -0.5 (c) 5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959990.01 rounded to the nearest 100?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 d when four letters picked without replacement from ddhhddhdhdhd.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16172 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6642 and 1458.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 20554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhbh when four letters picked without replacement from uhvcvccvvbcucccb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61696336 > 61696336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**2 + 277*o - 1442 wrt o.\nAnswer: 4*o + 277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + (sqrt(98) - ((sqrt(98) - -2*sqrt(98) - sqrt(98)) + sqrt(98))))\/sqrt(7))\/sqrt(7).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -463.8 and -369.\nAnswer: -832.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170) + 1*sqrt(170)*-1)\/sqrt(10).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(90)\/(sqrt(27)\/sqrt(3))) - (sqrt(22)\/(sqrt(99) - sqrt(11)) + sqrt(72)*1))**2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272565 + -271330.77. Round b to the nearest integer.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1533658271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 + (4 - 4) + 0 + -9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/6 + 84*p**2 - 505*p\/6 = 0. Calculate p.\nAnswer: -505, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 137\/3 - (-6)\/(-9). Let d(k) = 4*k**2 - k - 2. Let z be d(-2). Suppose 3*j - q = g + 35, j = 3*g + z. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 2 in ascending order.\nAnswer: -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 40, 3, 4 in descending order.\nAnswer: 40, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1392 + 4?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11813?\nAnswer: 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -18. Let k = -27 + 41. Let u = m - k. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -30669*w - 245440. Determine d(-8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.053421 millilitres?\nAnswer: 0.007053421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(119)\/(-1*sqrt(112)) - (-5*sqrt(85)*2)\/sqrt(5))*-4 + 3.\nAnswer: -39*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(450))\/(sqrt(80)\/sqrt(8)*-3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.6 - -0.6. Let l = a + 17.98. Let h = l - -0.02. What is the third biggest value in -5, h, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 7900 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89\/3 - 30. Let a = 0.8 - 0.8. Let h = a + -1. What is the third smallest value in q, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -576\/11, -0.4, -1\/3 in increasing order.\nAnswer: -576\/11, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145877214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 88*h + 54. Let t(i) = -176*i - 93. Let q(d) = 5*p(d) + 3*t(d). Calculate q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.977128 tonnes?\nAnswer: 1977128000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4510700 is divided by 923.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 + 31*z**2 + 29*z - 34. Let j(i) = 9*i**3 - 33*i**2 - 31*i + 36. Let u(d) = -5*b(d) - 4*j(d). Give u(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let h(t) = t**2 - 3 - 21*t + 0*t**2 + 6*t + 12*t. Suppose 9*i + 64 = 55. Give i*h(l) - 3*v(l).\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226471 is divided by 74850?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1417, 2844, 4271, 5698?\nAnswer: 7125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 19 (b) -70\/29 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -12. Suppose 5*a + n = 0, 0*z - 5*z = 2*a + 44. Let w = z - -27. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*h + 42. Calculate the smallest common multiple of h and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(133)*1 - sqrt(133) - 4*(sqrt(133)*-1 + sqrt(133) + sqrt(133)))\/(sqrt(700)*-2).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:13 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 2, x: 1}. What is prob of picking 2 c and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 18. Let m = 22\/5 + y. What is the common denominator of -55\/7 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 74865648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 670*t**3 - t**2 - 20*t - 2050. Let s(u) = 5*u + 1. Let i(d) = -l(d) - 4*s(d). What is the derivative of i(p) wrt p?\nAnswer: -2010*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/(j*j\/(j*j**(-11)*j*j)*j)*j**(-8)*j**(1\/4))**(1\/4) assuming j is positive.\nAnswer: j**(-95\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 23*p**2 + 572*p + 27. Determine y(-38).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7560)\/405 + (-2 - -3)*19. Suppose 50\/3 - x*t**2 - 49\/3*t = 0. Calculate t.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40422 - -3?\nAnswer: 40430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 15 - 6 + 0*q + 0*q - q. Suppose 0 = -3*j + j. What are the prime factors of z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465740 (base 8) to base 13.\nAnswer: -572ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (-4*(sqrt(102) + sqrt(102)*2) - sqrt(102)) + sqrt(102))\/(sqrt(12)\/(sqrt(2) - sqrt(8))).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167169943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3729, -1, 2, 215 in increasing order.\nAnswer: -3729, -4, -1, 0, 2, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/10, -2\/3, -0.5, 21, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(21\/2) - (-3692)\/994. Let m be 1364\/55 - 1\/5*-1. Solve u*p + p = m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 265974936 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(2*z - 3*z + 0*z) - 2*z + 6*z - 2*z - 2*z + 4*z - z - 2*z + z + 2*z + (1 - 6 + 1)*(3*z - z - z) - 171*z + 341*z + 1586*z.\nAnswer: 1758*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by -3.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/24*(3\/(-7))\/((-27)\/(-72)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 5*t + 3*t + (-5 + 1 + 2)*(-t - t + 3*t) - 4*t - t + 4*t + 800 + 445 + 633 + 5*t - 356 to the form c + n*t and give c.\nAnswer: 1522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -0.26786703?\nAnswer: 0.0160720218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 6*a + 7*a + (-3 - 2 + 2)*(-2 + a + 2) as u + b*a and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + -30. Let p = 39 + y. Which is the nearest to -1? (a) 5\/2 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*371950\/21625?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 410*p**2 + 401*p**2 - 810*p**2. Let q(b) = 356*b**2 - 1. What is q(v(h))?\nAnswer: 356*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7224847919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75.70468 - 5894737.29532. Let z = x - -5894808.999983. Let h = z + 4. Round h to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**7\/70 - m**6\/10 - m**5\/5 - 16*m**2. Find f such that d(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 923723.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/(4\/48). Suppose 3*y = -2*y - f + 14, r*f - 10 = 3*y. Let i(u) = -3*u + y*u - u. Let a(n) = 2*n**2. What is i(a(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**3\/3 + 3*i**2 + 8*i - 3. Does 4 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167bb2 (base 13) to base 4\nAnswer: 2020232222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 1668*m\/5 + 347778\/5.\nAnswer: 2*(m - 417)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*l + 98614592, 4*i - l + 98614576 = 8*i. Suppose -i = 3*p - 366653645. Round p to the nearest 1000000.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-10134)\/(-24). Let i = 759 - w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -1 + (sqrt(22)\/sqrt(2)*-1 + (sqrt(11) - (sqrt(11) + -2)*-3))*-5 + 4.\nAnswer: -15*sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 + 71. Is (-4)\/b - 6220\/(-130) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - a + 3789, -20*g - 64560 = -37*g + 4*a. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnabaaynyya. What is prob of picking 1 n and 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) - (-7)\/(-14). Let o(i) be the first derivative of -r + 0*i + 1\/2*i**2. Let f(a) = -2*a**2. Determine o(f(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129\/6*15*(-6)\/(-9).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -2781*m**4\/4 - 602*m**3\/3 + m + 1046. Find the third derivative of d(v) wrt v.\nAnswer: -16686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1294, 5158, 11596, 20608, 32194, 46354?\nAnswer: 63088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.196 times 0.1\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15*l - 559. Let h(p) = 8*p + 313. Give 4*b(k) + 7*h(k).\nAnswer: -4*k - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3754.\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m**4 - 15*m**4 - 16*m**4 + 2 + (-2 + m**2 + 2)*(-m**2 + 3 - 3) + 4*m**4 - m**4 - m**4 to the form b + g*m + v*m**2 + l*m**4 + z*m**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43031 and 3478?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 15*x.\nAnswer: 3*x*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265\/1397 + 1\/127. Which is the third biggest value? (a) -0.3 (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23, -5, -170, 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 122 = 6*u, 4*k - 16*u + 4*u + u + 107 = 0 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 607\/40 - 2963\/360. Let d(o) = -1489*o**3 - 2*o**2 - 4*o - 2. Let l be d(-2). Let q = 190485\/16 - l. What is the common denominator of q and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 19 = 4. Let b be ((-2)\/(-12))\/(g\/20). Let p be 1 + -1 + 2\/8. Is p greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -b + 15, -4*r - 148 + 112 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13*(1 + (-10 - 4)). Let b = 192 + o. What is the remainder when 60 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -23*s**2 - 71*s - 12. Let y(v) = 25*v**2 + 70*v + 11. Let t(p) = -6*w(p) - 5*y(p). What is the units digit of t(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16228 (base 13) to base 2.\nAnswer: -1010010010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 233214 divided by 233214\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/7 + (-8)\/(-28). Let r be (k*(0 + 1))\/2. Suppose r*z + 4*h = 39, 0*h - 39 = -3*z - 5*h. 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 next in -17646, -17648, -17680, -17760, -17906?\nAnswer: -18136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {q: 2, e: 2, x: 1, n: 1, i: 1, w: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -50, 2822, -2\/15, -0.58 in increasing order.\nAnswer: -50, -0.58, -1\/6, -2\/15, 2822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*2) + -2.\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/4 - 2*f**3\/3 + f**2 - 7. Let h be p(2). Solve 3*k + 8 = -4*i, -i - 21 = h*i + k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 140400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322163100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 4)*((-5)\/2 - -3). Let g be (-75)\/9 - 4\/6. Let w = g + 17\/2. What is the nearest to o in -4, w, 3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**4 - 3848*u**2*v**3 - 39*v**3 - 50*v wrt u?\nAnswer: -16*u**3 - 7696*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, 53434, -14 in decreasing order.\nAnswer: 53434, -14, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 8*r - 16. Let u be i(6). Let s(l) = -45*l - 36. Let y be s(u). What are the prime factors of 1 + 4\/(-4) + y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (94472\/(-168))\/(1\/(-6)). Suppose 0 = 39*b - 14216 + n. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198487064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-6) - 11\/4) + (-2 - -2)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -371484.2\nAnswer: 111445.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -108, -216, -326, -438?\n\"Answer: -a**2 - 105*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 81 - 86 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 351140 divided by -20?\nAnswer: -17557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(7) + -1 + 5 + sqrt(252)*-2 + -2*(sqrt(28)\/sqrt(4) + sqrt(7)) + 5)**2).\nAnswer: -540*sqrt(7) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 8 = -g, 13329*g = 13332*g - 4*k + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-44)*202\/(-78) - (6 - -2)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upc when three letters picked without replacement from pcupcccucuu?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*s - 12, -3 + 9 = 2*o - 4*s. Suppose -2*c - o = -11. Solve 3 = d + x, 19 = c*d - 0*d - 3*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1377) + sqrt(1377) + -4 - ((-2 + -2*sqrt(1377) - sqrt(1377)) + sqrt(1377)))*-2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119801922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + s = 5*s - 16, 3*i - 20 = -5*s. Suppose 0 = -3*r, 4*y + 7*r - 4*r + 72 = i. Let x = -12 - y. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**7\/70 + y**6\/25 - y**4\/10 - y**3\/10 + 8*y. Suppose j(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 46545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 15\/2, -7, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-21) - -1) + 117\/(-63). Let b(h) = h + 2 - 4 - 2*h. Determine b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1165 = -4*n + 8988, -5*f = -2*n + 3929. Let m be ((-1875)\/6)\/((-1)\/n). Round m to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 8*b - 13. Let q be a(7). Let d = q + -27. Suppose s - 2*w + 4 = -d*s, -10 = -5*w. Solve 0*g + 4*g = s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h + 6 + 2 - 5*h**2 + 3 + 16. Let c(l) = -2*l**2 - 3*l + 9. Calculate -8*c(v) + 3*k(v).\nAnswer: v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 31*z - 45. Let g be u(33). Suppose 0 = 99*d - 111*d + 1092. What is the greatest common factor of d and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 46, 2\/11, -2\/5, -4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 23 + 16220*i - 16298*i + 14 to f + z*i and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b - -a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 36. Determine j(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 49*g**3 + 4*g**2 + g - 4. Let q(a) = -99*a**3 - 9*a**2 - 2*a + 9. Calculate 9*j(r) + 4*q(r).\nAnswer: 45*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1742246 by 1.\nAnswer: -1742246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -137508 - -7.2?\nAnswer: -137500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-9 - -11) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 2. Let z(k) = 2*k - 6. Suppose 57 - 8 = -7*s. What is s*n(w) + 2*z(w)?\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 125320.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 557031960 by -11331.\nAnswer: -49160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 5, -4, -35, -0.4 in decreasing order.\nAnswer: 5, -0.4, -0.6, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -86030212 take away 0.0334108?\nAnswer: -86030212.0334108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 6:10 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3 + 82*r**2\/3 - 352*r\/3 = 0.\nAnswer: 0, 16\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/453 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, b: 1}. Give prob of sequence bz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2 + 2)*(-3*d + 3*d - 5*d) + (-d + 2*d + 0*d)*(d + 0*d - 3*d) + 3*d**2 - d**2 + 4*d**2 as u*d**2 + o + f*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + x**2 - 11*x + 7. Let f(d) = -5*d**3 - d**2 + 17*d - 11. Let l(h) = 5*f(h) + 8*m(h). Determine q so that l(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -2. Let m = -56\/87 - 2\/87. What is the closest to m in 2\/3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f + 23*f + 8*f**4)*(3 - 6 + 2).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 27*s + 83. What is the remainder when c(-24) is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 4*a - 8, -5*g + 5*a = 10. Solve g = -3*d + 4*z + 13, -29*d - 15 = -34*d + 5*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -403.6756 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.7. Sort 1\/5, y, -0.4 in descending order.\nAnswer: 1\/5, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*b - 107 = 5*j, 0 = 4*j - 3*b + 175. Let z = j + 49. Suppose -5*n + z*n + 3*n = 0. Solve -v + 2*v - 3 = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 160\/12)*60\/(-35). Suppose -5*t - p = -25, 12 = 4*t - p - 8. Solve -t*r - i = 3*i - 33, -2*r - 3*i = -o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 - p**2 - 1. Let r be -1 + 2 + 1 + 0. Let c(g) = g**2 + 0*g**2 - 2*g**r. Calculate h(c(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -267, -1089, -2467, -4407, -6915, -9997, -13659?\n\"Answer: -w**3 - 272*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let a(y) = 60 - 121 + 61 + 13*y. Determine k(a(s)).\nAnswer: -169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 6. Let y be b(4). Suppose -3*v + 8 = y*j, -2*j + 3*j + 7 = 4*v. Suppose v*r = -k + 15, 0 = -k + 6*k + r - 93. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.18 - 16.98. Which is the nearest to 1\/2? (a) 6 (b) u (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6786470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(12))**2 + sqrt(3)) + -5.\nAnswer: -53 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/77)\/(260\/(-8463)))\/((-3)\/8*2).\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 34. Let g(x) = -x**3 - 6*x**2 + 6*x - 13. Let u be g(m). Let f = 184 - u. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -799, -9.368.\nAnswer: -799, -9.368, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 4*h - 7. Is t(3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from {u: 2, i: 15, s: 3}.\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.07 and 0.68494?\nAnswer: 10.3220458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6156 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1920 - 1784. What is the remainder when o is divided by 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5*q + 1230*f**4*q - f**2 - 2*f*q - 44*f - 4*q + 26 wrt f?\nAnswer: 40*f**3*q + 14760*f**2*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*k + 423*k - 152*k + 186*k to the form d*k + v and give d.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-220)*-5*(-4)\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59772, 59611, 59350, 58995, 58552, 58027?\nAnswer: 57426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66325)\/1125 - -59)\/(((-39)\/65)\/((-18)\/40)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -258*2\/(-24) - (-1)\/2. Solve -26*d + 16 = -v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7885 times -2.3?\nAnswer: -1.81355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (726\/55)\/(102\/85).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1899*m - 41929 = -76*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -12 - (188 + -187)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1721 - 1721.09. Let y = 0.93 + -1.23. What is the nearest to 0.6 in 3, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93487057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00261299232 rounded to 5 decimal places?\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*t - a, -2*t + 6 = -2*a - 6. Suppose -2*l = t*l. Suppose s + 4*s - 3*g - 147 = l, 5*g = 5. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z - 3*z**3 + 75*z - 34*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*u - 7*u. Suppose 0 = -2*r + 2*g + u, 4*r - 65 = -r - 3*g. Find the first derivative of r*a**3 + 6*a**3 - 1017 + 1003 wrt a.\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3106*o = -3101*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 324*i**2 - 793*i + 503. What is p(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.349791 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313677494 to the power of 1\/2, to the nearest integer?\nAnswer: 17711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.447 from -10.\nAnswer: -21.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 824329540 or 824329539?\nAnswer: 824329540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4854 = 14*f - 12814. Suppose 9*i - f = 2104. What is the highest common factor of i and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4795 - 4795.0009635. Round j to 5 decimal places.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-30))\/(2\/(-180)). Let j = 190 - x. Suppose 3*k - 246 - j = -5*s, -3*s + 3*k + 240 = 0. What is the highest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*d - 0. Suppose -d*p - 2*a = 16, p - 26 = 2*p - 5*a. Let i(b) = -3*b - 12. Is i(p) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Let j be -5*(-2 - -2 - 1). Let b be 7\/10*3 - 2. Sort c, b, j in descending order.\nAnswer: j, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36. Suppose g = n + n. Sort n, 5, 4 in ascending order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34 + 5\/((-5)\/2). Suppose 4 = 3*h - 23. Let t = 25 - h. Calculate the greatest common factor of r and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 2405200.\nAnswer: 962080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 75*h - 468.\nAnswer: -3*(h + 12)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3316333.14600013 - 0.05399987. Let m = 3316161.19869 + t. Let y = -172 - m. Round y to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 - (22 - 26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**4 + 6*c**3 - 6*c**2. Let r(x) = -3*x**4 + 11*x**3 - 11*x**2 + 1. Let o(d) = -11*m(d) + 6*r(d). Differentiate o(k) with respect to k.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q + 31*q - 43*q**3 - 8*q + 83*q**3 - 3 + q**2 - 41*q**3. Determine x(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 1. Let a be j(0). Let m be (a + (-2 - -2))*-3. Suppose -m*r - 2*v + 41 = 0, r + 3*v = 4*v + 22. Solve 0 = 5*s - r - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l*l\/(l*l\/(l**(2\/19)\/l)*l)))\/l)\/((l*l**3)\/l)*l**(-6)*l**(-3\/5) assuming l is positive.\nAnswer: l**(-637\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1237.6752 - 1\nAnswer: -1238.6752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*i + 194, 3*s + 2*i = -0*i + 286. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -g - 8692880, -5*t = 4*g - 9*g + 14488140. Let u(d) = 1185376*d - 5. Let m be u(7). Let c = m + t. What is c rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -1\/4, 1\/12, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 901, 5997, 19631, 46009, 89337?\nAnswer: 153821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c\/c**2)\/c)))**50\/((c*c**31)\/(c**(15\/8)\/c*c)) assuming c is positive.\nAnswer: c**(-641\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003033 to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3480329?\nAnswer: 3480329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - b**2 - 73 + 83)*(-6*b**2 + 3*b**2 + 2*b**2) to the form k + i*b**2 + z*b**3 + r*b + j*b**4 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 5*j**2 - 2*j**2. Let s(r) = 7*r + 6. Let c(l) = -l - 1. Let b(q) = -6*c(q) - s(q). Give i(b(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7850 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122745 and 685020.\nAnswer: 114398340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22950\/(-2142)*(-80)\/100?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 560?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2831 + -2162. What is the remainder when c is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -16.91. Let r = p - 2.09. Which is the nearest to -0.1? (a) -0.6 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c + 45 + 79 = 5*c. Suppose -5*a + 5*k - 29 = -3*a, 0 = -5*a + 4*k - 30. Let r be ((-26)\/13)\/(a\/(-3)). Put r, -4, c, 1 in ascending order.\nAnswer: -4, r, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -2.90056.\nAnswer: -3.00056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83747177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13674855 to the power of 1\/2, to the nearest integer?\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 40*v**2 - v + 1. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/29 + 576\/(-6786).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 218193.123794+-4\nAnswer: 218189.123794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one eighths of a tonne?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/2 - 37*v\/2 + 19 = 0.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17500 - 24896 = -6*l. Suppose -16*n + l = -5238. Is 62 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 - 657. Let h = 412 + l. Suppose 31 = -c + h. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158424?\nAnswer: 2, 3, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18f (base 16) in base 15?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4379 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 90?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n = 0. Let f = -1 - -4. Factor n + 2*u - f*u**3 + u**2 + 0.\nAnswer: -u*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53178*o**2 - 10160 wrt o?\nAnswer: -106356*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - 68 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 75*i**2 + 3*i + 154*i**2 + 4*i**2 + 4 - 6*i**2. Let a(c) = -c**3 - 7*c**2 - c - 8. Let b be a(-7). What is the hundreds digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*l = 65*l - 12, 3*l - 80882 = -14*q. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*c = -19, -5*c - 3 - 22 = 3*a. Suppose -b + 5*b = -4. Let m(q) = q**3 - 6*q**2 - 6*q - 6. Let t be m(7). Put b, a, t in decreasing order.\nAnswer: t, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0063105983 rounded to 6 dps?\nAnswer: -0.006311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*p + 43 = 0, 4*x - 2 = 3*p + 14. Suppose -16 = -x*t + 3*t. Let m(j) be the second derivative of j**4\/6 - 5*j**3\/6 - 2*j**2 + j. Calculate m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (1*12 + 2). Let r = 854 + -845. Let g be (0 - c\/r)\/(1*-3). Is 0 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvek when four letters picked without replacement from {x: 2, k: 3, w: 3, e: 5, v: 5}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 420 = 856. List the prime factors of l.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 12*z**2 + 16 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 9 = 4*v, -3*v + 3 = 2*l + 2. Let d(i) be the second derivative of i**4\/12 + i**2\/2 + 733*i. Determine d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f**2 + 2*f + 1. Let u(v) = -1911*v**2 - 12*v + 441. Let t(w) = u(w) + 6*x(w). What is the first derivative of t(c) wrt c?\nAnswer: -3978*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s - 8. Let p be g(6). Let u = 22788 + -22772. Calculate the highest common divisor of u and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2)*(80\/(-35))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2 = 14*s, -1033161*s + 1033165*s - 2 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93490\/841 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/87904 and -79\/6.\nAnswer: 263712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6874177.\nAnswer: 6874177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 565. Let h be a(0). Suppose h = 5*g - 5*c, 7*g = 2*g - c + 577. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a - 22*a - 3*a)*((-2 + 2 - a)*(1 - 1 - 2*a) - a + a + 2*a**2).\nAnswer: -172*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60044 = -1083*y + 32011 for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1898854 and -1898847 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2350\/(-705) - (-2)\/(-6)*-7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82091263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75.00000515 - 75. Round q to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/28 in -2\/5, -1, 2\/23, -2, -3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, 5, 1230.\nAnswer: -5, -4, 3, 5, 1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51579431 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6. Is 24 a factor of (-1 - (i + 89))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60241.20813 rounded to the nearest 10?\nAnswer: -60240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 4*b - 9*b**2 - b as n + d*b + t*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -0.9. Let g = -0.02513 - -304.12513. Let p = g - 304. Which is the third smallest value? (a) 1 (b) p (c) 0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149970122909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 450 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.094 - -13. Let f = y + 0.294. Put 3\/7, 13, f in ascending order.\nAnswer: f, 3\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -55*z - 52. Let n be w(-1). Solve -3*s - n + 0 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 11*w - 7 = 18*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2 + i - 2 + 4. Let r(z) = -z - 5. Calculate 4*a(c) + 3*r(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 999 - 45*l**2 - 1008 + 43*l**2 + 29*l - 2*l**3 as c + u*l + d*l**2 + x*l**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {o: 2, f: 6, e: 2, a: 4, q: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3589*d - 283. Is y(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-22 + 9)) + -17 + 13 + -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*x**2 - 688*x + 277*x + 217*x wrt x?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 157, 4, -149?\n\"Answer: -153*f + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 640291 - -562909. Round d to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/11 - 3590*s**2\/11 + 557864*s\/11 - 1101352\/11 = 0. Calculate s.\nAnswer: -1939, 2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2436 is divided by 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 97. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300232132 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let y = t - -4. Suppose -2*n + y = -6*n. Sort n, 5, 1.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2. Let b = -25 + 28. Let c(s) be the first derivative of -7 - 30*s**b + 16*s**3 + 13*s**3 + 15. Give m(c(z)).\nAnswer: 117*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.76145 micrograms in kilograms?\nAnswer: 0.00000005776145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a38 (base 14) to base 2.\nAnswer: 1011001101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 420764432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 4. Let z be t(-8). Let w = -3 - z. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-248)\/(-60) - (-4)\/(-30). Suppose -y*x = r - 8, r + 5*x = -r + 13. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:29 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 29 + -1 + (1 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j. Let o(t) = -319*t - 1. Give n(o(i)).\nAnswer: -3509*i - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1603418136 to the nearest integer?\nAnswer: 40043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + s - 1. Let d be j(1). Suppose -7 = -d*h - 1. Suppose h*k = 1 + 11. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 11738e?\nAnswer: 11738d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:05 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -7124043*j**5\/2 - 7344869841*j**4\/2 - 1852082509857*j**3\/2 + 21276138434889*j**2\/2 - 27608738220*j + 17915106 = 0?\nAnswer: -521, 2\/1541, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 4512.42?\nAnswer: -4509.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*a - 231*a = 1596. Suppose -5*y + 285 = -1440. Let m = y + a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 1. Let m(s) = -s**3 - 6*s**2 + 4. Let h be m(-6). Let g = -7 - h. Let d = -13 - g. Give k(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11191 - 10426. Calculate the smallest common multiple of 1224 and t.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -49 (b) 0.4 (c) 17 (d) -0.06 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 9*h**2 + 9*h. Let n(y) = -51*y**2 - 26*y**2 + y**3 + 123*y**2 - 50*y**2 - 4*y. Calculate -5*n(v) - 2*z(v).\nAnswer: -v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Suppose 7*x = -891 + 891. Let f(g) be the second derivative of 3*g + x*g**2 + 0*g**3 + 1\/12*g**4 + 0. Give f(v(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*7\/98*(0 + 6). Let f = -975 - -975.05. Let z(u) = -u**2 - 7*u + 1. Let d be z(-7). Sort f, d, a.\nAnswer: f, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.5 (b) 2\/9 (c) -0.08 (d) -2\/785 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-21\nAnswer: 2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (11 - -25) + (25 - (-8 - -14))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + 2*j**3)*(j - 3 + 3) + (-3 + 2 + 5)*(0*j**2 + 3*j**4 + 0*j**2)*(-4 - 1 + 1).\nAnswer: -46*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/3539 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j\/(j*j*j*((j\/j**(-4\/9))\/j)\/j)*j))*j**(5\/3)*(j**(2\/13))**7 assuming j is positive.\nAnswer: j**(386\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 i when four letters picked without replacement from {i: 2, h: 9, c: 3, r: 3}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(385\/164226450))\/(1\/7). Let x = w + 17565290. What is x rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 637, -0.2, 0.6 in increasing order.\nAnswer: -0.2, 0.6, 17, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*o + 21 = -0*f, 0 = -5*f + 2*o + 20. Suppose 0 = 3*c + f*h - 139, -5*h + 30 = c - 25. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -56*g + 33*g - 282*g**2 + 29*g. Let n be w(8). What is n rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 8 - (-4 - -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -185248.4 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 54.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193411763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 + 4*p**2 - p**2 - 5*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -b1a625 (base 12) to base 16\nAnswer: -2a5bfd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*x - 8*x - 8*x + 3*x - 28*x**3 wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/40)\/(-22*16\/2816)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/284 and 111\/10.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r + 12. Let w(i) = 4*i**2 - 24*i + 5. Let h be w(6). Solve 5*l = -q - h, -2*q - r = 5*l - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:39 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7449319 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -634280, -1268551, -1902828, -2537111, -3171400, -3805695, -4439996?\nAnswer: -5074303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 14*a - 30*a = -736 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164.9 - 183. Let x = 10.702 - 28.702. Let t = x - v. What is the third smallest value in -2, t, 4, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8001)\/(-4572) - 5\/(-4). Solve 28*k - 4*c + 16 = 24*k, -u*k + 2*c - 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t - 1604*t**2 + 810*t**2 + 815*t**2 - 48. Is n(-7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 3.1.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 365 and -0.8.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -5*n**4\/12 - 7*n**2\/2 - 43*n. Let s(c) = 9*c**2 + 13. Give -7*h(b) - 4*s(b).\nAnswer: -b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - 4*j**2)*(-2*j**2 + 4*j**2 - 3*j**2) + 0*j**4 - 2*j**4 + 4*j**4.\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q*q\/(q**2*q))\/(q\/(q\/(q\/(q**(-3)\/q)))*q*q**(8\/3)) assuming q is positive.\nAnswer: q**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnnn when four letters picked without replacement from pnnnnnnnngnnn?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - d + 1 = 0, 2*d + 3 = -2*m - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from uuuiuii?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 2, 22, -4, 28, -3, 5 in descending order.\nAnswer: 60, 28, 22, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 18. Let m(d) = 10. Let w(b) = b + 11. Let f(j) = -3*m(j) + 2*w(j). What is f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-24) - (1767\/266 - 11).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45491\/38 or 1196?\nAnswer: 45491\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -394.5741585 to 0 dps.\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/48 + y**3\/8 - 131*y - 16. Let k(a) be the first derivative of w(a). Factor k(m).\nAnswer: -m*(m - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 5*q + c + 8 - 9, 9*q - 2*c + 31 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 6135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*d)*(4 - 1 - 2)*(67*d**4 - 21*d**4 - 41*d**4 - 2*d).\nAnswer: 15*d**5 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/43 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 2.2, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -28, 115, 420, 941?\n\"Answer: 9*g**3 - 28*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26465*f + 26608*f = 7865 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 151346?\nAnswer: -151345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/24 + (-2)\/(-6). Suppose -2*t = 2*i - 0*i + 8, 5*t + 11 = -g*i. Let b(p) be the third derivative of -5*p**4\/24 - 2*p**2. Calculate b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 589*q**2*r**2 - 2720*q**2*r - 5*q*r**2 + q*r + 391*q + 38*r**2 wrt q?\nAnswer: 1178*r**2 - 5440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -q - 76. Suppose -5*t = q*c - 454, 0 = 18*c - 21*c + 3. Calculate the greatest common divisor of 990 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376 is divided by 244.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:34 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 224, 0.1, -0.4, -35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68956, 68958, 68960, 68962?\n\"Answer: 2*f + 68954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -38*v**3 - 21*v**2 - 5*v + 5. Let j(m) = 57*m**3 + 31*m**2 + 7*m - 7. Let p(d) = -5*j(d) - 7*z(d). What is the third derivative of p(y) wrt y?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -191*q - 3. Is t(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r + 2*c + 49, r - 29 = 4*c. Suppose 8*g = r*g + 30. Let v be 27002 - ((g - 0)\/3)\/(-1). What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2765d + -131?\nAnswer: 2752c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106389212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -282 + 274. Let x(d) = d - 5 - 2*d**2 - 5 + 3*d**2. Is x(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2*z - 1. Suppose 0*r - 289 = 4*k + 5*r, -173 = 3*k - 5*r. Let t be 1\/3 + k\/(-18). Let v be (t\/9)\/(10\/45). Determine j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 1:26 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -50, -53, -56, -59?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 7*w - 3. Determine g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgh when three letters picked without replacement from ssgghglhl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 871\/9 + -97. What is the third biggest value in 4, w, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 20 = 55. Let j(l) be the first derivative of -1\/7*l**2 + 0*l + 1\/14*l**4 + 2\/35*l**h + 9 - 2\/21*l**3. Factor j(y).\nAnswer: 2*y*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, l: 2, i: 4}. Give prob of sequence lii.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 28. Let z = q + 21. What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*f + 1277, 20*f - 15*f - 1267 = -2*o. Calculate the remainder when o is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -14544, -3 in ascending order.\nAnswer: -14544, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcd when three letters picked without replacement from {c: 3, r: 1, h: 3, d: 2, p: 3, x: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/363*7\/(1225\/15). Let o(y) = -y**2 - 5*y + 5. Let r be o(-6). Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63248472 a multiple of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 480197994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - o = 5, o = -3*d - 4 - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, d: 3, m: 1, o: 3, g: 3}. Give prob of sequence odrm.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h*h**(2\/13))**(-2\/7)\/(h**(2\/3)*(h\/(h*h**(-1\/5)))\/h*h*h)**(5\/4) assuming h is positive.\nAnswer: h**(-1195\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*o**3 - 287*o**3 + 574*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 + -3 + 2 - -2) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7667 - 426694*j**2 + 426691*j**2 - 15340 + 7664.\nAnswer: -3*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2394104762.\nAnswer: 2, 7, 7393, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (172\/258)\/((-2)\/(-543)). Which is smaller: f or 185?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 36*b**5\/5 + b**3\/2 + 531*b**2\/2 - 653*b. What is the derivative of a(y) wrt y?\nAnswer: 432*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 34944*w**3 - 6 - 34942*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -941*z + 4074. Let f(d) = 2354*d - 10187. Let s(u) = -5*f(u) - 13*p(u). Differentiate s(m) with respect to m.\nAnswer: 463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43798 divided by -6?\nAnswer: -21899\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 8. Let l(n) be the first derivative of 3*n**2\/2 + 7*n + 5. Let k(z) = -3*l(z) - 2*u(z). Find the first derivative of k(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -0.2111, -19, -3\/2?\nAnswer: -0.2111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 8900?\nAnswer: 8903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -499*t**2 - 16*t + 10. Let p(i) = -1498*i**2 - 45*i + 28. What is -6*p(u) + 17*y(u)?\nAnswer: 505*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333657?\nAnswer: 13, 173, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1904)\/224 - (-102)\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let u(x) = 14*x. Let f(s) = 15*g(s) - 3*u(s). Let n(b) be the third derivative of 5*b**4\/24 + 13174*b**2. What is f(n(d))?\nAnswer: -135*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25.572 <= -6\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + n + 101 = -3*u, -5*u + 4*n = 496. Let k = -82 - u. Let y(a) = -a**3 + 22*a**2 - 27*a - 11. Is y(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24761 in 1\/2, 31\/2, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 10) + 7 + 31 + (-210)\/21\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 + 3*h**4 + 37774*h**3 + 5*h**2 + 748*h + 171 wrt h.\nAnswer: 120*h**3 + 72*h + 226644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(1 - 4 + 1)*(-6*r + 0*r - 3*r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5159556.\nAnswer: 2, 3, 251, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.45437 + -0.15437. Suppose -4*g + 9 = 25. What is the closest to t in -0.06, g, -2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 552 + -551.99999246. What is d rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 2*z - 4*z - 2*z - 4 + 4 + (4 - 2 - 4)*(-3*z - 3*z + 7*z) - 3*z + 3*z + z + (1 + 3 - 6)*(-z - 2*z + 0*z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-33) - 6\/(132\/(-62)). What is the third derivative of 34*k + 2*k**2 - j*k**2 + 132*k**3 + 40*k - 81*k wrt k?\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/9)\/((r*r**(-5\/2))\/r))\/(r*r**3)**27 assuming r is positive.\nAnswer: r**(-1889\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1302 + -104204?\nAnswer: -102402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -30*p. Let x(q) = -11*q. Let f(v) = -3*n(v) + 8*x(v). Let l(d) = 893*d + 95. Let m(k) = -19*k - 2. Let u(j) = -2*l(j) - 95*m(j). Calculate u(f(c)).\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**3 + w + 47. Let j be ((-6)\/9 - 0)*-3. Suppose j*b = 4*n + 3*b - 12, 0 = -5*n - 2*b + 18. Determine v(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2692 - -0.283. Let k = m - 0.0707. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41229 - 28207. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1849?\nAnswer: -5\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200000201112 (base 3) to base 12.\nAnswer: -151405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 16 - 44. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-34)\/3)\/((-6)\/9). Let b = n + -14. Let o be (-9)\/(b\/(-2) + 3). Let r(y) = -17*y**2 - 11*y - 17. Let q(a) = -8*a**2 - 5*a - 8. Give o*r(f) + 13*q(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 108 = 7*p, 120*p + 5*x + 80 = 125*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27280846 and 342.\nAnswer: 245527614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034188 to the power of 1\/2, to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 13 - (51 - (-3 - 0)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjgjbjjgy. Give prob of sequence ybjg.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9341264, 9341265, 9341266, 9341267, 9341268, 9341269?\n\"Answer: j + 9341263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q**(-8)*q)))\/q*q**(-2))\/(q*q*q**(-30)*q)**(-34\/3))**(2\/23) assuming q is positive.\nAnswer: q**(-634\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -186, -164, -104, 12, 202?\n\"Answer: 3*y**3 + y**2 - 2*y - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 21\/(-15)*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 85*m - 665. Calculate u(17).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 36 + 38*z**2 + 2\/3*z**4 - 26\/3*z**3 - 66*z = 0.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823614 (base 9) to base 8.\nAnswer: 1671410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/j*j**(-3)*j\/j**(-1)*j*j**(2\/7))\/((((j*j*j**(2\/11)*j)\/j)\/j**(1\/8))\/((((j\/(j**(-2)*j))\/j)\/j*j)\/j*j**3)) assuming j is positive.\nAnswer: j**(109\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2\/5, -2\/471 in descending order.\nAnswer: 3, -2\/471, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) - 476\/(-35). Solve -5*o + 4*m = -11, 2*o + 0*o + 3*m + x = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 661219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**6\/720 + n**5\/120 + n**4\/16 - 4*n**3\/3 - 2. Let p(c) be the third derivative of m(c). Suppose p(u) = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/23)*c\/c**(-5\/2)*c*c assuming c is positive.\nAnswer: c**(257\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 3, t: 2, c: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 + 6*o + 12. Let z(v) = -14*v**2 + 18*v + 35. Let x(y) = 11*m(y) - 4*z(y). Give x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -681\/2 - -5461\/16. Let t = 341\/144 - a. Find b, given that 0 + t*b**2 - 4\/9*b = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 17*o**2 + o - 13. Let p be b(17). Suppose 16 = -0*g + p*g. Suppose -2*q = -7*q + 10. Solve -1 = t + g*w, -3*t - q*w + 1 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -23*u**3\/3 - u**2\/2 + 2. Let j(k) = -21*k**2 - 19*k**2 - 17*k**2 + 73*k**2 - 18*k**2. What is w(j(l))?\nAnswer: -92*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 234036021 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 3, l: 1, a: 1, v: 3}. Give prob of sequence la.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.35 + 3. Let v = -0.25 + r. What is the nearest to 1 in 3, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p - o, 6*o = 2*p + 4*o + 10. Suppose p = -5*t - 5*n + 4360, -5*t = -4*t + 3*n - 872. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 298 = 3*y - s, 5*s - 118 = -y. Suppose -4*t - 2*p + 57 - 9 = 0, -4*t = 5*p - 66. Calculate the remainder when y is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1110, -1111, -1112, -1113, -1114, -1115?\n\"Answer: -c - 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -248655.\nAnswer: -248657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 807142819.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**3 + 29*n**3 - 14*n**3 + (0*n + 2*n - n)*(-4*n**2 + n**2 + n**2) - n**3 - n**2 + n**2 + n**3 + 0*n**3 + 6*n**3 + (-n**3 + 1 - 1)*(0 + 1 + 0).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (142\/(-4))\/((-3)\/(-6)). Let p = x + 101. Suppose -4*t + 413 + 427 = 0. What is the greatest common divisor of p and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*t + 15, -2*d + 10 = 5*t - 0*d. Let 0*b + t - 6\/5*b**3 - 3\/5*b**2 - 3\/5*b**4 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -2851718?\nAnswer: -15\/2851718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v**2 + 69*v**2 + 65*v**2 + 18*v**2.\nAnswer: 187*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(4*sqrt(240))\/(2*sqrt(768) + sqrt(768) + sqrt(768)).\nAnswer: 5*sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhzo when four letters picked without replacement from jzquqouuoqoouoohoj.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20803853.\nAnswer: 7, 163, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65871, -3, 1, 40 in decreasing order.\nAnswer: 65871, 40, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 300, 335, 432, 621, 932, 1395, 2040?\n\"Answer: 5*d**3 + d**2 - 3*d + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2501*m + 99938. Determine t(-40).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 4*a - 4*a + 8*a - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -48. Let d be 2\/(2 + 2)*o. Let v = d - -31. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 40 = -4*l. Suppose -23*d + l = -17*d. Solve -d*o - 25 = -5*f, 0 = -o + 3*f - 17 + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235549566 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132722266 and 13686?\nAnswer: 4562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l**2 + l + 354 - 354.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22585354 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 779327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (12 - (-9 - -16))) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*p**4 + 30*p**2 - 18*p**2 - 31*p**2 wrt p?\nAnswer: 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let n(b) = b**2 + 2*b + 3. Let t be n(-6). Let w = -25 + t. Let z(s) = w*s + s - 2*s. Determine 4*c(p) - 5*z(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*x, 4*a - 2*x - 130 = -0*x. Let g = 2107 - 1463. Let i = g - 586. What is the remainder when i is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2192 and 1109220?\nAnswer: 607852560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1299*c**2*t**2 - c**2*t - 298*t wrt t?\nAnswer: 2598*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/19 - 600*z**2\/19 + 38400*z\/19 + 1024000\/19.\nAnswer: 2*(z - 160)**2*(z + 20)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*h + 8 = -19, 0 = -4*r - 4*h + 52. Let z be ((-15)\/r)\/(1\/(-4)). Let w = 0.7 + -1.7. Which is the nearest to w? (a) z (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3410838.\nAnswer: 2, 3, 189491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -829, -836?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 372 = 4*d, 2*d + 2*w - 235 = -63. Let o be ((-30)\/20)\/((-2)\/(80\/6)). What is the highest common factor of o and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 335458 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1271925809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/7)\/d**(-10\/9)*(d*d**(3\/13))\/(d**(3\/2)\/d))**(2\/5) assuming d is positive.\nAnswer: d**(4187\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -3*d**2\/2 + 4. Let j(f) be the second derivative of f**3\/6 + 2*f. Let n(a) = 21*j(a) + 6*m(a). Calculate n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -35. Let l = -21 + 15. Suppose 0 = 8*b - 13*b - 5. Put b, o, l in decreasing order.\nAnswer: o, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 2*o. Let t = -4 + o. Solve -12 - t = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -108, -456, -1194, -2466, -4416, -7188?\nAnswer: -10926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 34 = -14*y, 678*y - 677*y - 4*b = 8 + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10094 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/102 and -76\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1915763401 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906422353.\nAnswer: 906422353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 13 - 13)*(1 - 2 + 2)*(3*o + o + 0*o) to x*o + b*o**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-8)\/(2048\/2544).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7402719 a multiple of 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n + 2. Let i be l(-2). What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -2 (b) 0.3 (c) 2\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -45, -78, -119?\n\"Answer: -4*t**2 - 13*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411120035.\nAnswer: 5, 8689, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -240 - (-1 + -3)\/1. Let k = -166 - a. Suppose -k*d + 73*d - 420 = 0. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969.29055 take away -1758?\nAnswer: 788.70945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v + v. What is the second derivative of 9*h - v*h - 6*h**3 - 6*h wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 13*n + 5. Let k be h(-7). Solve 2*l - 5*z - k = 0, -4*l + z = -l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((342\/14)\/3)\/(2866\/20062)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*n + 4*n - 85, -4*o = 4*n - 88. What is the common denominator of n\/(-5) + -2 + 4 - -4 and -87\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/8)\/((-26)\/(-143))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 18*t - 5\/6*t**3 + 0 + 11*t**2. Is p(-9) 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 {z: 1, k: 3, q: 11}. Give prob of picking 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s - 4. Let b(u) = -3*u**2 - 7*u + 11. What is 2*b(w) + 7*v(w)?\nAnswer: w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 6*g - 411. Suppose 0 = 11*u - 83 - g. Suppose -110 = 4*w - 9*w. What is the least common multiple of w and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040254564 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttxt when four letters picked without replacement from tttxttttx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23b456 + -1?\nAnswer: 23b455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72627452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1781 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228140711?\nAnswer: 1031, 221281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113\/791 - 88\/(-21)) + (-244)\/183.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) -13315 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 73000*d**2. Let j(v) = -7*v + 4. Let k be j(2). Let u be l(k). What is u rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.7 rounded to 0 decimal places?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 898 = -2*d, 916 = 4*d - 3*y - 859. What are the prime factors of d?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29829207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -45\/44324 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -672.23138 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*f**3 - 103*f**3 + 2 + 6*f**5 - 152*f**4 - 14*f - 184*f + 40*f**3 wrt f?\nAnswer: 120*f**3 - 1824*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001011001110001010 (base 2) to base 16\nAnswer: 14b38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than 414191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44634648 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 4910750 to the nearest 10000.\nAnswer: 4910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.2267l to millilitres.\nAnswer: 13226.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = m + 3 + 12, 0 = 2*m + t + 5. What is the biggest value in 0.1, m, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -670 by 2.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33545365 divided by 33545365.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -697, -1397, -2097, -2797, -3497?\n\"Answer: -700*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525533 is divided by 12935.\nAnswer: 12138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (77 + -45)) + -1 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from rqlppqpqparqhqalqqqr?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-30)\/3)\/5*(-1)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.141800082 - 0.1?\nAnswer: 0.041800082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 7*h**2 - 6*h - 2. Let z(f) = f**3 + 4*f**2 - 7*f + 7. Calculate the remainder when z(-4) is divided by s(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -223, -221, -219, -217, -215, -213?\n\"Answer: 2*y - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssskkkskkkk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30053828, 60107643, 90161466, 120215303, 150269160, 180323043, 210376958, 240430911?\nAnswer: 270484908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 8*j + j + 13*j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -11553?\nAnswer: 11546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.03, -1.4, -1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 374897660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 5*a + 9. Let c be u(-4). Does 10 divide 0 - 1 - (-27 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, -1, 0.277, 1\/3, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkffkfbff. Give prob of sequence fk.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vquqqqvqqqqwwqqquww. Give prob of picking 4 w.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 4\/(120\/20855))*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2 + 1 + 1). Let k = 1745.76 + -1786.76. Put k, 1, r in descending order.\nAnswer: 1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87286509 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1241414?\nAnswer: 1241421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1784*j - 6*j**3 - 917*j - 2*j**4 - 16*j**2 - 869*j to s*j**4 + c*j**2 + g*j + o + z*j**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:46 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 16 = -1914324*p + 1914326*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v)*(106596*v + 546*v**4 - 106596*v + (2 + 2*v**3 - 2)*(v + 0*v + 0*v)) + 3 + v**5 - 3.\nAnswer: 549*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - sqrt(187)*-3*4)\/sqrt(11).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/40 - 1\/40. Let q = 12.84 + -13. Let n = -0.16 - q. What is the third biggest value in n, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -48. Let n = 7 - 7.3. What is the closest to 2 in -0.5, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:54 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021 + 3213?\nAnswer: 12300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = v - n - 2*n, 2*n + 10 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*r, -s + 0*r = 2*r - 6. Suppose -7 = -s*a + 7. Let q = 5 - a. Let i(l) = -3*l - 3. Give i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*p + 548263 = 0, 3*u - 78*p - 328960 = -79*p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, 1, -97 in descending order.\nAnswer: 1, -97, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1 + z - 2*z + 6*z**3 + z**2 - 1. Suppose -6*d - 35 = -11*d. What is the least common multiple of d and y(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + -1000101010100110111100010?\nAnswer: -1000101010100110110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/24*12\/10*185\/111.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 + -60. Let l = 48 - y. Suppose -o + l*o - 3*d = 54, 5*o - 93 = 2*d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 + 231 = -9*j. What is the greatest common divisor of 165 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*u, 271*u + 1 = -2*h + 268*u. Let a(c) = c**3 - 5*c**2 - 4*c - 20. Determine a(h).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5880528\/(-7578)*2\/16\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u**2 - 21*u - 16. Let c be r(8). Suppose 4*d = -4*i + c, 3*i = i + 2*d + 280. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 - 4 = 0. Let p = 7 - a. What is the least common multiple of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 79*a + 294. Let q(k) = -k**2 - 40*k - 147. Let h(z) = -5*q(z) - 2*t(z). Solve h(n) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 5, -4, 69, -26, -2 in descending order.\nAnswer: 69, 5, -2, -4, -26, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}